Answers
f(x) = 10x -5 and g(x) = (x+5)/10 are inverses of each other , Option D is the correct answer.
What is a Function ?A function is a mathematical statement which relates two variables , a dependent and an independent variable.
The inverse of a function is found by replacing every y by x and vice versa , and then solve for y
The equation
f(x) = 4/x - 3
or
y= 4/x -3
Replacing y by x
x = 4/y -3
x +3 = 4/y
y = 4/(x+3)
Which do not correlate with the given inverse
f(x) = 10x -5
y = 10x -5
for finding inverse
10y -5 = x
10y = x+5
y = (x+5)/10
g(x) = (x+5)/10
Therefore , Option D is the correct answer.
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Related Questions
assume that y varies inversely with x. If y= 1.6 when x= 0.5, find x when y= 3.2
Answers
Answer:
x = 0.25
Step-by-step explanation:
If y varies inversely with x, then:
[tex]y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}[/tex]
Given:
y = 1.6 when x = 0.5Substitute the given values into the found equation and solve for k:
[tex]\implies 1.6=\dfrac{k}{0.5}[/tex]
[tex]\implies k=1.6(0.5)[/tex]
[tex]\implies k=0.8[/tex]
Therefore:
[tex]y=\dfrac{0.8}{x}[/tex]
To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:
[tex]\implies 3.2=\dfrac{0.8}{x}[/tex]
[tex]\implies x=\dfrac{0.8}{3.2}[/tex]
[tex]\implies x=0.25[/tex]
This is all the questions I need answers to:
A two-digit locker combination has two non-zero digits and no two digits are the same. Event A is defined as choosing an even digit for the first number, and event B is defined as choosing an odd digit for the second number.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 4/9
B. 1/2
C. 5/9
D. 5/8
A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A. 1/6
B. 5/18
C. 1/2
D. 5/9
A jar contains 5 red marbles and 8 white marbles.
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
If two marbles are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?
A. 3/13
B. 10/39
C. 5/12
D. 8/13
A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?
A. 2/19
B. 1/6
C. 4/19
D. 5/19
A jar contains 3 pink balls, 6 blue balls, and 3 red balls.
Event A = drawing a red ball on the first draw
Event B = drawing a pink ball on the second draw
If two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?
A. 3/44
B. 4/9
C. 3/11
D. 1/4
House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.
Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?
A. 1/9
B. 5/72
C. 5/8
D. 2/3
House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.
Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?
A. 2/7
B. 5/14
C. 5/13
D. 6/13
A two-digit locker combination is made up of two non-zero digits. Digits in a combination are not repeated and range from 3 through 8.
Event A = choosing an odd number for the first digit
Event B = choosing an odd number for the second digit
If a combination is chosen at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A. 1/5
B. 3/14
C. 5/18
D. 2/5
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 3/8
B. 3/7
C. 1/2
D. 4/7
There are 15 tiles in a bag. Of these, 7 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a purple tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 1/5
B. 1/3
C. 7/15
D. 1/2
I know theres a lot here but please hurry :) thx 100 points to the first person to answer all correctly! thx :)
Answers
The is probability P(B|A) expressed in simplest form is 1/2 (Option B) See computation below.
How do we derive the above?P (A) = [[tex][\mathrm{C}_{5}^{1} \mathrm{C}_{8}^{1}]/ \mathrm{A}_{9}^{2}[/tex]
= ('5 x 8)/(9 x 8)
P (A) = '5/9
P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]
= ('5 x 4)/(9 x 8)
= '5/18
P(B|A) = P (AB)/P(A)
= ('5/18)/('5/9)
P(B|A) = 1/2
How do we derive P(A and B) in the simplest form?From the above we already have P (AB)
this is given as
P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]
= ('5 x 4)/(9 x 8)
P(AB) = '5/18
How do we derive P(A and B) in the simplest form where a jar contains 5 red marbles and 8 white marbles?Note that:
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
P(A) = 8/13; while
P (B) = (5/12) because the first marble was not replaced, thus reducing th sample to 12.
Thus
P(A and B) = P(A)*P(B) = 8/13 * 5/12
P(A and B) = 10/39 (Option B)
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?Event A - Probability of Drawing a Green Marble is 8/20
Event B - Probability of Drawing a Blue Marble is 5/19
Thus P(B|A) = (8/20) * (5/19)
= [tex]\frac{8 * 5 }{20 * 19}[/tex]
= 40/380; divide numerator and denominator by 20
P(B|A) = 2/19 (Option A)
If two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?
Event A = Probability of Drawing a red ball = 3/12
Event A = Probability of Drawing a pink ball without replacing the read in Event A = 3/11
Thus P (B and A) =
3/12 x 3/11
P (B and A) = 3/44 (Option A)
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?The conditions given are as follows:
The house number comprises of nonzero digits and are of two digits ranging from 1 to 9.As per the condition, the First digit 8 can be selected in 9 ways; and Second digits is less than 6 can be selected in waysThe sum total of ways thus is
9 x 8
= 72 ways........X
Recall that
Event A is defined as selecting 8 as the first numeral
The only way to select this is one way
Event B is defined as choosing a number less than 6 as the second digit, that is 1, 2, 3, 4, 5
Thus, the possible number of ways to fill second digit = 5/8
Thus, the possible number of ways to form two digits 'AnB' =
('AnB') = 1 x 5 = 5 .................y
Hence Probability (AnB) = 5/72 (Option B)
Given that the non-zero digits are in a combination are not repeated and range from 3 through 8, thus the odd numbers between 3 and 8 are:
3, 5, 7
total numbers is 3, 4, 5, 6, 7, 8
Hence; Event A = choosing an odd number for the first digit = 3/6
Event B = choosing an odd number for the second digit (recall that the numbers are not repeated) = 2/5
= [tex]\frac{2*3}{3*6}[/tex]
= 6/30
= 1/5 (Option A)
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
Event A = the first digit is an odd number
Event B = the second digit is an odd number
The numbers from 2 to 9 are:
2,3,4,5,6,7,8,9
The odd numbers between 2 and 9 are:
3,5,7,9
P (A) = 4/8
P (B) = 3/7
P(B|A) = (3/7)/(4/8)
P(B|A) = 3/7
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?
Event A = drawing a white tile on the first draw
Event B = drawing a purple tile on the second draw
P(B|A) = (P(AnB)/P(A)
|n| = 15 * 14 = 210
| A| = 3*14 = 42
| AnB| = 3*7 = 21
P (A) = 42/210 = 6/30
P (AnB) = 21/210 = 1/10
P(B|A) = (1/10)/6/30)
P(B|A) = 1/10 * 30/6
P(B|A) = 30/60
P(B|A) = 1/2 (Option D)
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I need a written answer for all three questions please.
Answers
The values of the trigonometry ratios are:
cos α = - 5/13 and cot α = 5/12cot α = -5/12 and sec α = 13/5How to solve the trigonometry ratios?1: sin α = -12/13 and tan α > 0, find cos α and cot α
Because tan α > 0, then it means that cos α and sin α are negative
So, we have:
sin²α + cos²α = 1
Substitute sin α = -12/13
(-12/13)² + cos²α = 1
This gives
cos²α = 1 - (-12/13)²
Evaluate the squares
cos²α = 1 - 144/169
Evaluate the difference
cos²α = 25/169
Take the square root of both sides
cos α = - 5/13
The cotangent ratio is represented as:
cot α = cos α/sin α
This gives
cot α = (-5/13)/(-12/13)
Evaluate
cot α = 5/12
Hence, cos α = - 5/13 and cot α = 5/12
2: tan α = -12/5 for α in quadrant IV, find sec α and cot α
Because α is in quadrant IV, then it means that sec α is positive
cot α = 1/tan α
This gives
cot α = 1/(-12/5)
Evaluate
cot α = -5/12
Also, we have:
sec²α = 1 + tan²α
Substitute tan α = -12/5
sec²α = 1 + (-12/5)²
Evaluate the squares
sec²α = 1 + 144/25
Evaluate the sum
sec²α = 169/25
Take the square root of both sides
sec α = 13/5
Hence, cot α = -5/12 and sec α = 13/5
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Se calcula que el 2013 habia 19,000 árboles en la ciudad. el año 2014.para prevenir caídas de árboles viejos, se corto el 2% y el 2015 se quemó en un incendio el 5% de lo que quedaba
A) En que porcentaje disminuyó el número de árboles de 2013 a 2015?
B) Cuantos árboles quedan en esta ciudad a fines del 2015?
Answers
Answer:
yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd
Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u
Answers
The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
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Answer:
c
Step-by-step explanation:
You find a wooden shelf 4½ feet long. You want to cut it to make two smaller shelves. One will be 1¼ feet long, the other, 2⅜ feet long. Is the uncut shelf long enough? Explain your answer.
Answers
The length of the uncut shelf is not long enough.
Given a wooden shelf 4½ feet long.
The length of two small shelves is 1¼ and 2⅜ feet long respectively.
To find an uncut shelf long enough or not subtract shelf's piece length from the total length of the wooden shelf length.
The length of an uncut shelf can be calculated as:
⇒1¼ + 2⅜+x= 4½
⇒5/4 + 19/8 + x = 9/2
To solve this equation make variable and constant different sides.
⇒x= 9/2-5/2-19/8
⇒x=2-19/8
⇒x=-3/8
The length of the uncut shelf is -3/8 feet, which is not valid (∵ Length cannot be negative).
∴ The length of the shelf is not long enough.
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write these recurring decimals as fractions:
1. 0.7 recurring
2. 0.7235 [the 3 and 5 are recurring]
Answers
Answer:
[tex]\frac{7}{9}[/tex] and [tex]\frac{7163}{9900}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
(1)
let x = 0.777... (1) ← multiply both sides by 10
10x = 7.777... (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 7 ( divide both sides by 9 )
x = [tex]\frac{7}{9}[/tex]
(2)
let x = 0.723535.. ( multiply both sides by 100 and 10,000 )
100x = 72.3535.... (1)
10,000x = 7235.3535..... (2)
subtract (1) from (2) thus eliminating the repeating digits
9900x = 7163 ( divide both sides by 9900 )
x = [tex]\frac{7163}{9900}[/tex]
Pls help ill give brainiest
Answers
I am lazy to type so here look at the picture and there is your answer
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answers
Answer: 26 inches is equivalent to 660.4 millimeters.
Step-by-step explanation:
You will multiply the inches by the conversion.
[tex]26in*25.4mm=660.4mm[/tex]
Therefore, the answer is 660.4 millimeters.
I hope this helps!! Pls mark brainliest :)
A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line.
How many seconds does the water travel through the air?
–6
1.5
3
5
Answers
The water travels in 3 seconds.
The correct option is (C).
what is function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given information-
x 0 1 2 3 4 5
f(x) 1.5 2 1. 5 0 -2.5 -6
The image of table attached below.
Here, x represents the time (sec) and f(x) represent the height in feet above the pool’s water line.
From the table,
The height of the water started with 1.5 ft above.After one second the water height reached to the 2 feet above.After two seconds the water height reached to the 1.5 feet above.In 3rd second the water height comes down at the pool's water line.Hence, the water travel through the air for the 3 seconds.
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Marsha has 132 books.
They are divided
equally between three
shelves. Each book
weighs 0-2 kg.
How much weight
does each shelf
support?
Answers
Answer:
Step-by-step explanation:
=132/3
=44 books per shelf
since maximum weight of a book is 2kgs,
=44(2)
=88
To show - 7 on the number line, from zero, we have to move 7 units in which direction?
Answers
Answer:
7 units to the left.
Step-by-step explanation:
On the number line , the number will always decrease when we move towards the left, and likewise will always increase when we move towards the right. In this case since the number is moving from 0 to -7, it is definitely decreasing therefore we will move 7 units to the left.
Find X = Find Y= please help ty :)
Answers
Answer:
X = 125° and Y = 75°
Step-by-step explanation:
Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.
To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:
180° - 55° - 75° = 55°
The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°
180° - 55° = 125°
What is the solution to the system of equations?
2x + 4y = 12
y = 1/4x - 3
A. (–1, 8)
B. (8, –1)
C. (5, 1/2)
D. (1/2, 5)
Answers
B. (8, -1)
Is (−1, −1) a solution to the following system of inequalities? Show work to verify algebraically. Then, provide an explanation below.
Answers
A way you can figure this out is by plugging in (-1, -1) to their corresponding values in both equations. The first -1 would replace all x values. The second -1 would replace all Y values.
After simplifying the first equation gives
-1 >= -4 + 3
-1 >= -1 TRUE
The second equations gives
-1 - (-2) >= 1
1 >= 1 TRUE
The question is in the photo! Please help
Answers
the y intercept does not matter with linear equations
Q2 - Using fractions
Jarvis works in a garage for $7 an hour.
If he works on Saturday he is paid time and a quarter.
If he works on Sunday he is paid time and three quarters.
Last weekend Jarvis worked for four hours on Saturday and four hours on Sunday.
How much was Jarvis paid last weekend altogether?
Answers
Total Earned Saturday: $45
Total Earned Sunday: $63
Total: $108
Time and a quarter means that you divide his normal rate by 4 and add that to his normal rate.
9/4 = 2.25 2.25 + 9 = 11.25
Jarvis makes $11.25 an hour on Saturdays.
Since he worked 4 hours, you multiply,
11.25 x 4 = 45.
What is the normal rate?
Time and three quarters mean that you multiply his normal rate by 3/4 and add that to his normal rate
9x0.75 = 6.75 6.75 + 9 = 15.75
Jarvis makes $15.75 an hour on Sundays. Since he worked 4 hours, you multiply 15.75 x 4 = 63.
To get the total, you add his earnings on Saturday and earnings on Sunday
45 + 63 = 108.
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Which are true about the pyramid? Check all that apply.
The base of the pyramid is a square with four sides, each measuring 756 feet.
The slant height of the pyramid is 612 feet.
The slant height of the pyramid is 756 feet.
All four triangular faces are congruent.
All four triangular faces are not congruent.
The pyramid has four lateral faces.
Answers
The statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Properties of a Square pyramidFrom the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the sides of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Learn more on Pyramid here: https://brainly.com/question/10042135
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Please help!!!!!!!!!!!!!!!!!1
Answers
Hope This Helps! :)
Answer:
f(x)=(x+4)(x+2)
Step-by-step explanation:
Factor x^2−6x+8 using the AC method.
5)Express in standard form: (i)4809000 (ii)0.00849
Answers
Answer:
I hope it helps .in case you don't understand any part ,feel free to ask.
A couple plans to have 4 children. The gender of each child is equally likely. Design a simulation involving 55 trials that you can use to model the genders of the children. Write your answer as number
Answers
Answer:
4x55x2
Step-by-step explanation:
4 kids 55trys 50 50 odds
Someone please help with this
Answers
2sin(x) - 1 =0
first, simplify and isolate sin(x)
2sin(x) - 1 = 0
2sin(x) = 1
sin(x) = 1/2
Then, do sin inverse of 1/2 which is 30 degrees
150 degrees also works because when you set 30 degrees as the reference angle in quadrant 2, you get 150 degrees. 180-30 = 150
C is the answer
please help me its help.
Answers
The answer will be 81.
Step-by-step explanation:
just multiple by 3
Answer:
81
Step-by-step explanation:
the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81
NEED HELP ASAP 1 HOUR LEFT
Answers
The number of units that will maximize revenue will be 672 units.
How to calculate the revenue?From the given information, p = 336 - 0.5x. The revenue function will be:
= (336 - 0.5x)x
= 336x - 0.5x²
This will be equated to 0. This will be:
336x - 0.5x² = 0
0.5x² = 336x
0.5x = 336
x = 336/0.5
x = 672
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Select the correct answer. Simplify the polynomial expression. 3x(-2x+7) -5(x-1)(4x-3)
Answers
Answer:
The simplified form is -26x^2 + 56x -15
Step-by-step explanation:
We need to solve the expression:
3x(-2x+7)-5(x-1)(4x-3)
Multiplying the terms outside the bracket with the terms inside the bracket.
=-6x^2+21x-5(x(4x-3) -1(4x-3))
= -6x^2+21x-5(4x^2-3x-4x+3)
= -6x^2+21x-5(4x^2-7x+3)
Now multiply -5 with the terms inside the bracket
= -6x^2+21x -20x^2 +35x -15
Now, Combining the like terms:
= -6x^2 -20x^2 +21x+35x -15
Adding the like terms
= -26x^2 + 56x -15
So, the simplified form is -26x^2 + 56x -15
-26^2+56x-15 yea that should be the answer
helppppp will give brainliest
Determine whether the relationship is an inverse variation or not. Explain.
a The product xy is not constant, so the relationship is an inverse variation.
b The product xy is constant, so the relationship is not an inverse variation.
c The product xy is constant, so the relationship is an inverse variation.
d The product xy is not constant, so the relationship is not an inverse variation
Answers
Answer:
The product xy is constant, so the relationship is an inverse variation.
Step-by-step explanation:
Inverse variation is the mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
Here, the product xy is constant and gives the product as 960.
The relationship is inverse relationship.
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An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
48 dollars (0.55)
48 dollars (55)
48 dollars (0.55) + 48 dollars
48 dollars (55) = 48 dollars
Answers
The amount of the markup is $48 + $48 (0.55) .
Option (C) is correct .
What is Markup Price?Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.
As given
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.
55% is written in the decimal form .
= 55/100
= 0.55
Markup price = 0.55 × wholesale price of item .
= 0.55 × $48
= $48 (0.55)
Price of item after markup = Wholesale price of item + Markup price
= $48 + $48 (0.55)
Thus, the amount of the markup is $48 + $48 (0.55) .
Option (C) is correct .
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Answer:The answer is A
Step-by-step explanation:
Edg 2022 (sometimes the verified ones are wrong)
Parallelogram EASY is drawn with diagonal ES. The measure of Angle AES is 40 degrees and the measure of Angle Y is 110
degrees.
Find the measure of Angle A, Angle YEA, Angle ESA, and Angle ESY.
Answers
Answer:
Step-by-step explanation:
Givens
Parallelogram EASY with diagonal ES
<AES = 40
<Y = 110
Solution
<AES = 40 GIVEN
<ESY = 40 Z THEOREM OF A PRALLELOGRAM
<A = <Y PROPERTY OF A PARALLELOGRAM
<A = <110 <A = 110 BECAUSE <Y = 110
<YES = 180 - <Y -<ESY EVERY TRIANGLE HAS 180o
<YES = 180 - 110 - 40 SIMPLIFY
<YES = 30
<YEA = <YES + <AES WE KNOW BOTH ANGLES ON THE RIGHT.
<YEA = 30 + 40 COMBINE
<YEA = 70
You could do <YEA by noting that consecutive angles of a Parallelogram equal 180
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
Answers
Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.
What is the equation?An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A:Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Provided equation
Y=13/4x
where y is the distance traveled and x denotes the amount of time.
According to the equation, Peter moves along at a speed of 13/4 miles per hour.
As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.
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Which function represents exponential growth?
O f(x) = 3x
O f(x) = x³
Of(x) = x + 3
O f(x) = 3x
Answers
Answer:
b step by step explanation
The function that represents exponential growth is:
f(x) = x³
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Exponential growth is a phenomenon that occurs when the rate of change of a quantity is proportional to its current value. In other words, as the value of the quantity increases, the rate at which it increases also increases. This can be represented mathematically using an exponential function of the form f(x) = abˣ, where a is the initial value, b is the growth factor, and x is the time or number of periods.
The function that represents exponential growth is:
f(x) = x³
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