Answers
By direct observation on the graph and concept of relative minimum, we conclude that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).
How to determine the relative minimum of a given graph
Let be f a function that exists in a interval [a, b], there is a value c such that f(c) < f(x), for x ≠ c and x ∈ [a, b]. In this case, f(c) is the relative minimum of f. By direct observation, we find that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).
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Related Questions
write √a^8a^3 as an algebraic expression using a rational exponent
Answers
Answer:
A
Step-by-step explanation:
I assume that the whole expression a⁸a³ is under the square root.
then remember 2 things :
1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.
e.g. x³x² = x⁵ because
x×x×x × x×x = x×x×x×x×x = x⁵
2. a square root as exponent is 1/2.
a cubic root is 1/3 and so on.
therefore
sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square?
Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 1, 7. Point C is at 3, 3. Point D is at negative 1, 1.
Answers
A square has 4 equal length sides and a right angle
Or two equal length diagonals which are perpendicular
Or 4 right angled corners and two adjacent sides equal
Or perpendicular diagonals with the same midpoint
Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED
7. Solve the inequality. c – 12 > –1 c < –13 c > 11 c > –13 c > 13
Answers
To solve a one-variable-inequality, isolate the variable on one side of the inequality. This can be done by using the four mathematical operations.
What is the four mathematical operations?
The four mathematical operations include the following:
AdditionSubtractionMultiplicationDivisionThese operations can be used to solve equations, inequalities, and more.
[Solving] Simplifying the inequality:Given inequality:
c – 12 > –1As stated in the previous section, let's isolate the variable (c) using the four mathematical operations. Clearly, we have to add both sides by 12 of the inequality as "c" is being subtracted by 12. Therefore, we get:
⇒ c – 12 + 12 > –1 + 12⇒ c > –1 + 12Simplify the right-hand-side to obtain the simplified inequality:
⇒ c > 11Therefore, option B is the correct/best choice.
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A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)
Answers
The total number of sugar will be 9/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A Baker Had 1/3 Cups Of Sugar.
he Added 1/9 Cups To It
Let the number of sugar be x
x (1/3) + 1/9x = 1
3x + 1x = 9
4x = 9
x = 9/4
Hence, the total number of sugar will be 9/4.
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The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth
Answers
Answer:
28.2
Step-by-step explanation:
The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.
__
graphing aidThe values computed by the graphing program in the attachment add up to 28.2 units.
__
using algebraThe length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...
d = √(rise^2 +run^2)
HI = √((-4)^2 +10^2) = √116 ≈ 10.770
IJ = √(1^2 +12^2) = √145 ≈ 12.042
JH = √(5^2 +2^2) = √29 ≈ 5.385
The perimeter is the total of the lengths of the sides:
P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197
To the nearest tenth, the perimeter is 28.2 units.
suppose that average total cost is $36 when q=24. what is the profit-maximizing price and resulting profit?
Answers
The profit-maximizing price and resulting profits are $36 and $0 respectively.
What is profit-maximizing price?The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.
Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:
when Q = 24 at average cost = $36,
Then,
profit-maximizing price = p = $36
Hence, the resulting profit is as follows;
resulting profit = 36 - 36 = $0
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(X-3)2 -0
Ajuda, alguém ajuda?
Answers
Answer:
(X- 3)² - 0
(X - 3 )( X - 3 )
x² + 9 - 6x
x² - 6x + 9
a = 1
b = -6
c = 9
Question 8(Multiple Choice Worth 1 points)
(07.05 MC)
Use the key features of the polynomial f(x) = 2x³ + 5x² - 2x - 3 to describe its end behavior.
O The left side continues down, and the right side continues up.
O The left side continues down, and the right side continues down.
O The left side continues up, and the right side continues down.
O The left side continues up, and the right side continues up.
Answers
The key feature is that; The left side continues down, and the right side continues up.
How to describe the behavior of a Polynomial?We are given the polynomial;
Polynomial function;
f(x) = 2x³ + 5x² - 2x - 3
Leading coefficient = 2
Degree of the polynomial = 3
Since, degree of the polynomial given is odd and the leading coefficient is positive.
Therefore, left side of the graph will continue down and the right side continues up.
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Solve for x. Round to the nearest tenth, if necessary
Answers
[tex]\tan 61^{\circ}=\frac{59}{x}\\\\x=\frac{59}{\tan 61^{\circ}} \approx \boxed{32.7}[/tex]
Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)
Answers
Answer:
y=-x²+8x+16
Step-by-step explanation:
y= -3(x – 4)(x – 4)
We multiply
y=(-3x+12)(x-4)
Expand the bracket
y= x(-3x+12) -4(-3x+12)
y=-3x²+12x
-4(-3x+12)
+12x+48
y=-3x²+24x+48
Divide by 3
y=-x²+8x+16
simplify -9 2/7-(-10 3/7)
Answers
Answer:
8/7
Step-by-step explanation:
-convert the mixed fractions into improper fractions
-find the LCD (least common denominator)
-solve!
-65/7-(-73/7)
8/7
mixed number form: 1 1/7
hope this helps!!
Answer:
8/7
Step-by-step explanation:
Please help with a good explanation
Answers
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8
Which angle refers to the same angle as \angle DAC∠DACangle, D, A, C?
Answers
Answer:
Option
Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.
Select the correct answer.
Consider the function represented in this table.
X
f(x)
-1
-21
0
-9
1
3
2
15
Which of these tables could represent the inverse of function f? Ahh
Answers
Omar is going to an amusement park. The price of admission into the park is $25, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Omar have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on r rides?
Cost with 8 rides:
Cost with r rides:
Need answer quickly!
Answers
Cost with r rides: 25+(r x 5)
The cost of 8 rides will be equal to $65 and the equation for the r rides will be equal to $25 + $5(r).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Price of admission into the park = $25
Price to pay for every ride in the park = $5
(a)
Then, the price to pay for 8 rides will be,
$25 + $5(8)
= $25 + $(40)
= $65
(b)
Then, the equation for the price to pay for r rides will be equal to,
$25 + $5(r)
Here, r is the number of rides.
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The measure of an angle is 42.1°. What is the measure of its complementary angle?
Answers
Answer:
47.9°
Step-by-step explanation:
complementary angles are two angles that add up to 90° [90 degrees]
so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90
we can use subtraction to find this value:
90 - 42.1 = 47.9
So, the complementary angle to the angle 42.1° has a measure of 47.9°
hope this helps, have a lovely day!! :)
You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.
⇢ 90° - 42.1°
⇢ 47.9
Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)
Answers
Answer:
[tex](0, -\frac{15}{2} )[/tex]
Step-by-step explanation:
When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be [tex](0, -\frac{15}{2} )[/tex], as x = 0 when y = -15/2.
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check all
that apply.
✔x(3) = 2(4)
x(5) = 10
x(1.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Intro
Done
3 of 12
Answers
Answer: x(5) = 10 has the multiplication property.
Step-by-step explanation:
To verify the multiplication property of equality , We need to put the value of x= 2
1. x(5) = 10
Solution = 2(5) = 10 ✔
2. x(1.5) = 2(2)
Solution = 2 (1.5) = 3 X
3. x(0.5) = 2(0.5)
Solution = 2 (0.5) = 1 X
4. x(12) = 12
Solution = 2 (12) = 24 X
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Answer:
Step-by-step explanation:
answer B and D
I got it right and didnt spell the entire constitution
A 12 foot ladder leans against a wall so that the base of the ladder is 7 feet from the wall. How high up on the wall will the ladder reach? Round to the nearest hundredth of a foot.
Answers
Reason
Using the Pythagorean theory,
a^2 + b^2 = c^2 (the hypotenuse)
Since we know the diagonal measurement (the hypotenuse) we will call c=12
We know one leg is 7, so we will call b=7
Now we will solve for “a”
Changing the equation to subtract
c^2 - b^2 = a^2
Substitute in our numbers
12^2 - 7^2 = a^2
144-49= a^2
95 = a^2
Take square root of both sides
9.746 = “a” the unknown length
Round to nearest hundredth
9.75
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
Answers
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $2,000r = 3.25% = 0.0325n = 1t = 10Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]
[tex]\implies \sf A=2000(1.0325)^{10}[/tex]
[tex]\implies \sf A=2753.788608...[/tex]
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Answers
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
Definition of in Ascending order
Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.
How do depict the information?
Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Evaluate f^3+11g-4hf
3
+11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
The correct question is:
Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,
f³+11g-4h
= (3)³ + 11(2) - 4(7)
= 27 + 22 - 28
= 21
Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
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Answer:
21
Step-by-step explanation:
Solve for x.
x2 + 2x + 1 = 0
Answers
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Answers
Step-by-step explanation:
hope you can understand
A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
10min 7km
15min 10.5km
20min 14km
Write an equation to describe the relationship between t, the time, and d, the distance.
Answers
The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
time(t) = speed(s)×distance(d)
Speed is constant:
t ∝ d
t = kd
k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43
The equation is:
t = 1.43d
Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
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Answer:
d=0.7t
Step-by-step explanation:
the other dude is wrong
whats is 452 divided by2
Answers
Answer:
452/2 = 226
Step-by-step explanation:
45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.
Hope this helps! :D
1. Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (−4,4) and parallel to the line whose equation is 7x−9y−8=0 Question content area bottom Part 1 The equation of the line in point-slope form is enter your response here. (Type an equation. Use integers or fractions for any numbers in the equation.) Part 2 The equation of the line in general form is enter your response here=0. (Type an expression using x and y as the variables. Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answers
1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 = ⁷/₉(x + 4)
How to find the equation of a line?
1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0
Thus, let us rearrange to find the slope.
7x − 9y − 8 = 0
⇒ 9y = 7x - 8
⇒ y = ⁷/₉x - ⁸/₉
Slope; m = ⁷/₉
Now, the point slope formula is;
y − y₁ = m(x − x₁)
where;
y₁ is the y-coordinate
x₁ is the x-coordinate
m is the slope
Thus the line Passing through (−4,4) is;
y - 4 = ⁷/₉(x + 4)
2) The equation in general form is;
y = 4 + ⁷/₉x + ²⁸/₉
y = ⁷/₉x + ⁶⁴/₉
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On day 1, Perry shipped packages and tracked their weight to the nearest kilogram. The packages weighed 1, 8, 1, 12, 1, 11, 7, and 6 kilograms.
On day 2, Perry shipped 12 kilograms more weight than he did on day 1 while shipping the same number of packages.
What is the increase in the mean kilograms per package for the second day compared to the first?
Enter your answer in the box.
Answers
Answer:
1.5kg
Step-by-step explanation:
The mean for the packages on day 1 will be:
= (1 + 8 + 1 + 12 + 1 + 11 + 7 + 6)/8
= 47/8
= 5.875
The mean for day 2 will be:
= (47 + 12)/8
= 59/8
= 7.375
The increase in mean:
= 7.375 - 5.875
= 1.5
Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units
Answers
Answer: 75 square units
Given:
sin(C) = 1/2
Area of Triangle:
= 1/2 × a × b × sin(C)
= 1/2 × 13 × 23 × 1/2
= 74.75
≈ 75 square units
+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13
Answers
Answer:
outfit costs 81 dollars
Step-by-step explanation:
Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.
