Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

f(x) = −4(x − 8)2 + 3

Answers

Answer 1

Answer:

the symmetry for each function is -8 and -4

hoped that helped:P

Answer 2
Final answer:

The axis of symmetry for the function f(x) = -4(x - 8)^2 + 3 is x = 0.

Explanation:

The axis of symmetry of a quadratic function can be found using the formula:

x = -b / (2a)

For the function f(x) = -4(x - 8)^2 + 3, the coefficient of the x^2 term is -4 (which is a) and the coefficient of the x term is 0 (which is b).

Therefore, the axis of symmetry can be found as:

x = -b / (2a) = -0 / (2*(-4)) = 0

So, the axis of symmetry for the function f(x) = -4(x - 8)^2 + 3 is x = 0.

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Related Questions

A salesperson earns a 2​% commission rate on sales of camera equipment. Yesterday she earned ​$60 in commission. What were her sales that​ day?

Answers

Answer:
Her sales were $3,000 worth

Explanation:

To find the salesperson's total sales, we use the formula Commission = Sales x Commission Rate, where $60 is the commission earned at a 2% rate. Dividing $60 by 0.02 gives us the total sales of $3000 for that day.

The student has asked about calculating the total sales based on a commission earned by a salesperson. To find out the total sales we can use the formula: Commission = Sales * Commission Rate. Given that the salesperson earned a $60 commission at a 2% commission rate, we set up the equation: 60 = Sales * 0.02. To solve for Sales, we divide both sides by 0.02, which gives us Sales = 60 / 0.02. Thus, the total sales for that day were $3000.

a 71.9%
b 18%
c 28.1%
39.1%

Answers

the answer is c 28.1%
The answer MIGHT be 28.1%

Find the slope of a line which goes through the points (2,5) and (−4,3)

Answers

Answer:

slope (m) = 0.75

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

1

3

= 0.33333333333333

θ =

arctan( ΔY ) + 180°

ΔX

= 198.43494882292°

ΔX = -4 – 2 = -6

ΔY = 3 – 5 = -2

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = 0.33333333333333x + 4.3333333333333

or

y =  

1 x

3

+  13

3

When x=0, y = 4.3333333333333

When y=0, x = -13

please mark brainliest

What is the value of x?
Enter your answer in the box.

Answers

Answer:

x=4

Step-by-step explanation:

to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4

In his living room rashad has a window shaped liked a rectangle . It is 7.2 feet high and 8.7 feet wide. What is the area of the window

Answers

Answer:62.64

Step-by-step explanation:

You have to multiply them

The school bus Evie rides is scheduled to arrive at her bus stop at 8:20 a.m. each day. The table below shows the actual arrival times that of the bus for several days that were randomly selected over the past few months. Based on these data, what is the probability that the bus will arrive at Evies stop before 8:20 a.m. tomorrow

Answers

Answer:

The probability of the bus getting there BEFORE 8:20 isn't likely

I took an average of all of the numbers and its shows that he bus will be there about 8:20.25

Find the value of x in the following diagram.

Answers

Answer:

x = 3.5

Step-by-step explanation:

diameter = radius × radius

d= ( 3x + 1 ) + ( x + 8 )

3x + 1 = x + 8

subtract 1 and x

2x = 7

divide by 2

x = 3.5

What is the perimeter of a triangle with side lengths of 8 cm, 8 cm, and 3 cm?

Plz help

Answers

Answer:

19

Step-by-step explanation:

8+8+3 = 19

The perimeter of the triangle would be 19

What’s the answer?????????

Answers

The right answer is letter B).

90 is 45% of what number

Answers

Answer:

200

Step-by-step explanation:

90=.45x (x being the number)

(multiply by 100/45)

90(100/45)

9000/45=

x=200

Answer is 200

Since if 50% would mean 100, double it to get the 100%, which is 200

The letter represents where the amount of $158.29 should be written.


The letter represents where the amount of $250 should be written.

Answers

Answer:

The letter A represents where the amount of $158.29 should be written.

The letter D  represents where the amount of $250 should be written.

Step-by-step explanation:

Ivan spent $158.29 on groceries so that would be debit -

For letter D he is transferring money

The letter 'a' represents where the amount of $158.29 should be written. And the letter d represents where the amount of $250 should be written.

What is Debit?

Debit is an entry in the accounting sheet where there forms an increase in the assets or decrease in the liabilities. Positive values for assets and liabilities are debited and the negative balances are credited on balance sheet.

Given that Ivan spent $158.29 on groceries.

He then transferred $250 to his savings account.

On the check register, there are two letters, letter a and letter d.

a is the amount debited for groceries. So the letter a represents where the amount of $158.29 should be written.

d is the amount debited for a transfer. So the letter d represents where the amount of $250 should be written.

Hence the letter 'a' represents where the amount of $158.29 should be written. And the letter d represents where the amount of $250 should be written.

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The full question is :

Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.

The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is the difference between the means of the data sets?

Answers

Answer:31

Step-by-step explanation:

The difference between the means would be twice the MAD (mean absolute deviation) in this case, as 20 is two times 10.

The student's question is about determining how many times larger the difference between the means of the two data sets is compared to the mean absolute deviation (MAD) of each pizzeria, which is given as approximately 10. To answer this, we need to know the means of both data sets in order to calculate the difference between them. Without this information, it's not possible to provide a specific number.

However, if the means of the two data sets were known, for example, if the mean of the first set was 20 and the mean of the second set was 40, then the difference would be 40 - 20 = 20. The difference between the means would be twice the MAD in this case, as 20 is two times 10.

what is 4^4 . 4^44 please help​

Answers

Answer:

4^48

Step-by-step explanation:

you add the exponents

Answer:

[tex]4^{48}[/tex]

Step-by-step explanation:

[tex]4^{4} *4^{44} =4^{48}[/tex]

You can just calculate this if you'd like and it'd still be the same answer...

Find the slope of a line passing though the given points (1,4) (3,2)

Answers

i believe the slope is -1

If the spinner is spun 40 times, predict the number of times the spinner would land on Section B

Answers

Answer:

11

Step-by-step explanation:

bkbkbk

What is the A ⋃ B for the venn diagram

Answers

11,12,13,14,15,16,17

Answer:

The elements contain in A U B is {11,12,13,14,15,16,17} .

There are 7 elements in A U B.

A cell phone company is offering a special deal. If you choose from payment plans A, B, and C and one of four different phones, you can choose a free gift of a case, a car charger, or a memory card. What is the probability that Rusty will choose plan A, phone 2, and the car charger? (Find the sample space) *
A) 1/9
B) 1/18
C) 3
D) 1/36

Answers

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Which is the solution to the inequality? One-fourth + x less-than StartFraction 5 over 6 EndFraction x less-than StartFraction 7 over 12 EndFraction x greater-than StartFraction 7 over 12 EndFraction x less-than 1 and StartFraction 1 over 12 EndFraction x greater-than 1 and StartFraction 1 over 12 EndFraction

Answers

Answer:

A

Step-by-step explanation:

The required solution of the given inequality is given as x < 7/12. Option A is correct.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
One-fourth + x less-than StartFraction 5 over 6 EndFraction,

So, the Above expression is given as,
1/4 + x < 5/6

Subtract 1/4 from both sides,
1/4 + x - 1/4 < 5/6 - 1/4
x <  [20 - 6] / 24
x < 14 / 21
x < 7 / 12

Thus, the required solution of the given inequality is given as x < 7/12. Option A is correct.

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The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.

Answers

Answer:

C. Wen did not take the reciprocal of the divisor.

What is the product?
(6r-1)(-8r-3)
-4872-10r +3
- 48r2-10r-3
-48P?+ 3
-48r2-3

Answers

-48r^2−10r+3

Step-by-step explanation:

(6r-1)(-8r-3)

Apply the distributive property by multiplying each term of 6r−1 by each term of -8r−3

-48r^2−18r+8r+3

Combine -18r and 8r to get -10r.

-48r^2−10r+3

Therefore the product of this equation is -48r^2−10r+3

Hope this helps! If you have any more questions or you need further clarification on anything please comment down below. Good luck!

The value of the product of the expression is,

⇒ - 48r² - 10r + 3

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition

Given that;

The expression is,

⇒ (6r - 1) (- 8r - 3)

Now, We can multiply as;

⇒ (6r - 1) (- 8r - 3)

⇒ - 48r² - 18r + 8r + 3

⇒ - 48r² - 10r + 3

Thus, The value of the product of the expression is,

⇒ - 48r² - 10r + 3

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The measure of angle is 6. The measure of its reference angle is
9 and sin o is​

Answers

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  210°

and sin θ is​ -1/2.

Step-by-step explanation:

The correct question is:

The measure of angle θ is 7π/6. The measure of its reference angle is  ___

and sin θ is​ ___

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

Find the volume of the oblique cylinder. Round your answer  to the nearest tenth. 

Answers

Answer:

The Volume of an Oblique Cylinder:

An oblique cylinder, on the other side, is a cylinder whose base and top are not perpendicular to the sides. Interestingly, the volume of an oblique cylinder is the same as the volume of a right cylinder, and it is calculated as V=πr2h V = π r 2 h .

Step-by-step explanation:

Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL?

A. 98

B. 14

C. 2 radical 7

D. radical 14

Answers

We have been given that segment KL is a diameter of circle Q. Circle Q is represented by the equation [tex]\left(x-11\right)^2+\left(y+15\right)^2=7[/tex]. We are asked to find the length of KL.

We know that standard equation of a circle is in form [tex]\left(x-h\right)^2+\left(y-k\right)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.

Upon comparing our given equation with standard equation of circle, we can see that the center of the circle is at point [tex](11,-15)[/tex] and [tex]r^2=7[/tex].

Let us solve for r by taking positive square root.

[tex]\sqrt{r^2}=\sqrt{7}[/tex]

[tex]r=\sqrt{7}[/tex]

We know that diameter is two times radius, so value of diameter KL would be 2 times r.

[tex]KL=2\cdot \sqrt{7}[/tex]

Therefore, the volume of KL is [tex]2\sqrt{7}[/tex] and option C is the correct choice.

Select the measurements that are equivalent to one hundred grams.
1,000 mg
10,000 cg
0.1 kg
10 hg

Answers

Answer:

100 grams is = to 0.1 kg

Step-by-step explanation:

100 grams is = to 10,000 mg which is incorrect. I am not sure what the other answer choices are, but C is your correct answer.

Final answer:

The measurements equivalent to one hundred grams are 10,000 centigrams (cg) and 0.1 kilograms (kg). The other options provided do not equal 100 grams.

Explanation:

To determine which measurements are equivalent to one hundred grams, we need to understand the relationship between different units of mass. In the metric system, mass is commonly measured in kilograms (kg), grams (g), and milligrams (mg), among others. Here is a reference based on the information you provided:

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 1000 milligrams (mg)

Now, let's evaluate each option provided in the question:

1,000 mg = 1 g (not 100 g)

10,000 cg = 100 g (since 1 g = 100 centigrams (cg))

0.1 kg = 100 g (since 1 kg = 1000 g)

10 hg = 1000 g (since 1 hectogram (hg) = 100 g)

Therefore, the measurements equivalent to one hundred grams are 10,000 cg and 0.1 kg.

explain how the formula for the volume of a cone is derived

Answers

Answer:

The volume of a cone is 1 3 π r 2 h \frac { 1 } { 3 } \pi r ^{ 2 } h 31πr2h, where r denotes the radius of the base of the cone, and h denotes the height of the cone.

Step-by-step explanation:

(happy to help)

Final answer:

The volume of a cone is derived using the principle of integrating infinitesimally thin discs along the height of the cone, given by the formula V = ⅓πr²h.

Explanation:

The formula for the volume of a cone is derived using calculus and geometric principles. Consider a cone generated by rotating a line around one of the coordinate axes. If we know the formula for the area A of a circle, it can be extended to find the volume of a cone. The area A of a circle is πr², where r is its radius. The formula for the volume V of a cone is ⅓ × base area × height, which can be expressed as V = ⅓πr²h, with h being the cone's height.

Using integral calculus, the cone's volume is found by stacking infinitesimally thin discs (each with volume πr²dx, where dx is the disc's thickness) along the cone's height. The radius r changes linearly from the base to the apex, following the relationship r = (h - x)tan(a), where a is the semivertical angle of the cone. Thus, you integrate from the apex (0) to the base (h) to find the entire volume of the cone.

What number will make the proportion true? 6/12 = ?/18

Answers

Answer:

9/18

Step-by-step explanation:

Answer:

9/18

Step-by-step explanation: 9/18 and 6/12 both equal 1/2

Check all of the ordered pairs that satisfy the equation below.
y = 7x
A. (6,42)
B. (42,6)
C. (42,7)
D. (12, 84)
E. (84, 12)
F. (84, 14)

Answers

Answer:

  A, D

Step-by-step explanation:

Your first clue is that y > x. That is only the case for choices A and D.

Answer:

A and D

Step-by-step explanation:

A leading dental journal has claimed that 64% of young adults do not brush their teeth
regularly. A dental hygienist wants to conduct a survey to verify this with her young adult patients and wants to do so with a margin of error of +/-5%. What minimum sample size,
rounded to the nearest whole person, would the hygienist need to use?

Answers

Answer:

About 30%

Step-by-step explanation:

Well, um...

If 64% did not, then 36% of them do.

So, about 30% Do.

Consider the system of equations represented in the
graph.
y-x = 2
x + y = 4
Which is a solution to the system of equations?
1. (1.3)
2. (2.2)
3. (3, 1)
4. (4,2)
ONLY ONE ANSWER

Answers

Answer: 1. (1,3)

Step-by-step explanation:

Insert 1 for x and 3 for y. The equations will look like

3 - 1 = 2

1 + 3 = 4

Both equations are true when these numbers are inserted, therefore, the answer is (1,3).

Find the circumference of a circle with a diameter of 5inches

Answers

Answer:

15.7

Step-by-step explanation:

5 times 3.14 will give you circumference of a circle

Answer:

15.7 in

Step-by-step explanation:

Circumference = pi × d

3.14 × 5

15.7 inches

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