Answers
Answer:
Correct option is the third option:
6*3 - 4+3^2
Third option
[tex] 6(3)-4+3^2 [/tex]
Step-by-step explanation:
[tex]f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\
g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\
(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ [/tex]
Related Questions
Each week Danny eats 540 grams of cereal over 8 weeks. He finishes a total of 12 boxes of cereal. Each box contains the same amount of cereal. How many grams of cereal are in each box?
Answers
Answer:
360 grams of cereal
Step-by-step explanation:
First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.
Then you have to divide the answer by 12 to get 360 grams of cereal.
I hope this helped ;)
suppose f(x)=x^2. what is the graph of g(x)=f(3x)?
Answers
Answer:
Option A is correct
g(x) = 9x^2
Step-by-step explanation:
f(x) = x^2
g(x) = f(3x) = (3x)^2 = 9x^2
Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)
=> Option B and C are incorrect (the value of y is smaller than 0)
Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.
=> Option D is incorrect
=> Only option A is correct
Hope this helps!
Option A is correct
g(x) = 9x^2
f(x) = x^2
g(x) = f(3x) = (3x)^2 = 9x^2
Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)
B and C are incorrect (the value of y is smaller than 0)
Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.
This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.
Option D is incorrect
Only option A is correct
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Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.
Answers
Answer:
The size of the post card she should use is 4 in. × 6 in.
Step-by-step explanation:
The parameters given are;
Dimensions of sign = 5 ft. × 7.5 ft
Hence, the ratio of the side sizes are;
5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;
Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.
The size of the post card she should use is therefore = 4 in. × 6 in.
Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6
Answers
Answer:
[tex]x^{2} -64 = 0\\[/tex]
Step-by-step explanation:
According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.
URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!1 A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it? A) 210 inches B) 250 inches C) 180 inches D) 200 inches
Answers
Answer:
c) 180in
Step-by-step explanation:
So first you divide 150 by 5 to know by how much it was increased
150/5=30
Then multiply the length by that same 30 since it was scaled up by 30
30*6=180
Answer:
C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180
Among fatal plane crashes that occurred during the past 70 years, 581 were due to pilot error, 56 were due to other human error, 579 were due to weather, 555 were due to mechanical problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing% Other human error nothing% Weather nothing% Mechanical problems nothing% Sabotage nothing%
Answers
Answer:
[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]
Pilot error, better training of pilots may reduce accidents.
Step-by-step explanation:
The total number of crashes is:
[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]
The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:
[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]
The most serious threat to aviation safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.
100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation
Answers
Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
Answer:
It is Subtract 3 from both sides of the equation
Step-by-step explanation:
The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x
Answers
Answer:
x=8 and y=2
Step-by-step explanation:
x+y=10
x=4y
x+y=10
4y+y=10
5y=10(divide both sides by 5)
y=2
x=4y=4*2=8
Answer:
2 and 8.
Step-by-step explanation:
y = -x + 10
y = 4x
If we subtract we eliminate y:
0 = -x + 10 - 4x
0 = -5x + 10
5x = 10
x = 2.
and y = 4 * 2 = 8.
How many observations are accounted for in the stem and leaf graph? What did you do to find the answer?
Answers
Answer:
i put 2
Step-by-step explanation:
What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?
Answers
Answer:
What? Retype the question below and ill answer it, but this isnt answerable.
Step-by-step explanation:
What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?
Like what kind of language is this ;--;
how do you factor 5x^2b^2 + 14xb^2 -3b^2
Answers
Answer:
[tex]5b^2(x-0.2)(x+3)[/tex]
Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:
[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]
Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:
[tex]5b^2(x-0.2)(x+3)[/tex]
Hope this helps!
Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.
Answers
Answer:
range = 21 Kg
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set
largest value = 43 Kg and smallest value = 22 Kg, thus
range = 43 - 22 = 21 Kg
[tex]answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Order the cones described below from least to greatest volume. Cone 1: radius 4 cm and height 12 cm Cone 2: radius 8 cm and height 6 cm Cone 3: radius 6 cm and height 7 cm
Answers
Answer:
Cone 1 ⇒ Cone 3 ⇒ Cone 2
Step-by-step explanation:
V=πr²h /3
V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92 cm³V cone3 = 3.14*6²*7/3= 263.76 cm³Order the cones from least to greatest volume
Cone 1 ⇒ Cone 3 ⇒ Cone 2Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?
Answers
Answer:
Carrie left Colorado at 2:45pm CST on Tuesday.
Step-by-step explanation:
The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.
So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.
(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.
Answers
Answer:
The game is not fair
Step-by-step explanation:
A wheel with seven sectors:
Red Sectors = 2 | Probability = 2/7
Purple sectors = 2 | Probability = 2/7
Yellow sectors = 2 | Probability = 2/7
Blue sectors = 1 | Probability = 1/7
Landing on the blue sector will give 3 points, => 3 * 1/7 = 3/7 points
landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7 points
landing on a purple sector will give 0 points => 0 * 2/7 = 0 points
landing on a red sector will give –1 point. => - 1 * 2/7 = -2/7 points
Expected value = 3/7 + 2/7 + 0 - 2/7
= 3/7
Expected value = 3/7
3/7 < 1/2
=> game is not fair
If expected value = 3.5/7 = 1/2 then game will be fair
hence if we make 3.5 points for Landing on the blue sector
then game will be fair.
Answer: well i'm too young to answer this lol
1. 7
2. change the value of the colors. each color should have at least 1 or 2 points for each sector.
Step-by-step explanation:
1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7
2. dk how to explain this i'm running out of time
A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?
Answers
Answer:
Largest possible value for the 3rd side can be 22.
Step-by-step explanation:
Property of sides of a triangle:
If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:
[tex](a+b) > c[/tex]
i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].
So, to find the largest possible value:
[tex]a = 8\\b= 15[/tex]
[tex]a+b=23[/tex]
Largest possible value of [tex]c[/tex] can be lesser than 23.
i.e. 22 can be the largest possible value of the third side.
ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.
Answers
Answer: .98 feet
Step-by-step explanation: Took the test
Answer:
.98
Step-by-step explanation:
i took the quiz
What is the distance between the pool in the main office in miles? Round to the nearest 10th period (8,1)(6,-6)
Answers
Answer & Step-by-step explanation:
For this problem, we are going too have to use the distance formula.
[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
We can plug in the coordinate points that we are given to their respectful places.
[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]
[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]
[tex]Distance=\sqrt{4+49}[/tex]
[tex]Distance=\sqrt{53}[/tex]
[tex]Distance=7.3[/tex]
So, the distance between the pool and the main office is 7.3 miles.
1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.
______
2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.
______
Answers
Answer:
1. (2, -9) 2. (10, 10)
Step-by-step explanation:
algebraic fractions and formulae
(help me find Z)
thank you ❤❤
Answers
Answer:
Step-by-step explanation:
z= y( z-y)/x
z = yz - y^2 /x
zx = yz -y^2
y^2 = yz - zx
y^2 = ( y- x)z
therefore z = y^2/(y-x)
please mark me as the brainliest
Which side of AABC is the longest?
Answers
Answer:
B
Step-by-step explanation:
The side opposite the largest angle is the longest side.
Hope this helps
Explanation:
From B to C the line is slanted making it look more longer than the rest!
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer:
10 and 8
Step-by-step explanation:
Suppose a car rental company charges $22.50 plus 10 cents per mile write an equation you could solve to find how many miles you drove if the rental charge was 40.00
Answers
Answer:
Equation= 40=22.50+.10(how many miles)
175 miles= How many miles you drove.
Step-by-step explanation:
Equation= 40=22.50+.10(how many miles)
40-22.50=.10(how many miles)
17.5=.10(how many miles)
175 miles= How many miles you drove.
What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1
Answers
Answer:
b
Step-by-step explanation:
b
The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is the linear equation as follows -
y = x/9
This is the equation of a straight line, which is -
y = mx + c
{m} is slope and is also called the constant of proportionality.
We can write -
y = (1/9)x + 0
So, the constant of proportionality is equivalent to (1/9).
Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).
To solve more questions on functions, expressions and polynomials, visit the link below -
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Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?
Answers
Answer:
41 miles
Step-by-step explanation:
30+10+1=41
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which of the following is equal to the rational expression when x ≠ -4 or 16
Answers
Answer:
A
Step-by-step explanation:
(x^(2)-16)/((x-16)(x+4))=
[(x+4)(x-4)]/(x-16)(x+4)=
x-4/x-16
Answer:
A. [tex] \dfrac{x - 4}{x - 16} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]
[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]
[tex] = \dfrac{x - 4}{x - 16} [/tex]
Which type of triangles can be formed by taking the cross-section of a cube?
Answers
Answer:
2 Right Angled Triangles
Step-by-step explanation:
Does anyone know the answer?
Answers
Answer:
i think it the 2 one
Step-by-step explanation:
can someone please help and explain
Answers
Answer:
2
Step-by-step explanation:
2 4/5 * 5/7
Change to an improper fraction
(5*2+4)/5 * 5/7
14/5 * 5/7
Canceling the 5's
14/7
2
Answer:
2
Step-by-step explanation:
[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]
Hope this helps!
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.
2
1.8
8/9
Answers
Answer:
2
Step-by-step explanation:
If the common difference is d we can write:
-5 + 9d = 13
9d = 18
d = 2
Answer:
d = 2.
Step-by-step explanation:
First term = -5
10th term = -5 + 9d where d is the common difference, so
-5 + 9d = 13
9d = 18
d = 2.
