Find the vertex of the graph of the function.
f(x) = (x - 10)2 - 8 (2 points)
A. (10, -8)
B. (-8, 0)
C. (0, 10)
D. (-8, 10)

Answers

Answer 1

Answer:

A. (10, -8)

Step-by-step explanation:

Given function:

f(x) = (x - 10)² - 8

The vertex form of a quadratic function:

f(x) = (x - h)² + k, where (h, k) is the vertex

According to the above, the vertex of the given function is:

(10, -8)

Correct choice is A

Answer 2

Step-by-step explanation:

y=(x-10)²-8

General equation of parabola

vertex form is given by

y=a(x-h)²+k

On comparing we get

h=10k=-8

So vertex is at (10,-8)


Related Questions

The Dallas Cowboys starting at the 20 yard line, ran two plays. The first play gained 10 yards, and after the second play the ball was placed at the 50 yard line. How many yards they gain on the second play?

Answers

Answer:  20 yards

=========================================================

Explanation:

They start on the 20 yard line. After the first play, they gain 10 yards and move to the 20+10 = 30 yard line.

After the second play, they must have gained 20 yards because 30+20 = 50.

Or you can think of it like 50-30 = 20, which shows the distance from the 30 yard line to the 50 yard line is 20 yards.

All of this assumes that the Cowboys started on their side of the field.

If profit means to increase then what means to decrease.

Answers

Answer:loss

Step-by-step explanation: I mean for example you are profiting money and you just had a loss of money

A rectangular sticker has an area of 30 sq cm and it perimeter is 26 cm. what are the dimensions of the sticker?

#small Information
I know the equations but the problem I am not understanding it.. can you give a easier equations or method or more explanation of every equation..
Will give brainliest!!

Thank you :)

Answers

Answer:

Dimensions are 3cm and 10cm.

Step-by-step explanation:

We can make two equations for this problem.

ab = 30

2a + 2b = 26

Isolate a in the first equation.

a = 30/b

Plug that into the second equation.

2(30/b) + 2b = 26

2b^2 + 60 = 26b

2b^2 - 26b + 60 = 0

2(b - 3)(b - 10) = 0

b - 3 = 0 and b - 10 = 0

b = 3, 10

Plug these values into the first equation.

a3 = 30

a = 10

a10 = 30

a = 3

Best of Luck!



A company's stock began the day at $39.17 per share. That price drops by $1.38 each hour.
What is the price per share after 4 hours?

Answers

Hi :)

The price per share after 4 hours is $33.65.

Answer:

$33.65

Step-by-step explanation:

Help,please(ues tomorrow 08/23/2021 excactly at 9am and i will fail if i don't submit. so pls(Please) help.

Answers

I believe the answer is 6sqrt2. You don’t really need to calculate, as you only need to know the rules about special triangles. From the image above, the triangle with side length of 4 inches is a 45 45 90 right triangle. You can prove this but I’m not going to go I depth unless you want me too. From this, you can also prove that the triangle with side length of 6 inches is also a 45 45 90 triangle. You can find the missing side length using the rule that in a 45 45 90 triangle, the hypotenuse is xsqrt2, which is basically 6sqrt2 in this case.

Marc has 10 days to finish all three before exams. He plans to read an equal amount each day. How many pages should he read the first boy ?

Answers

Answer:

100 pages

Step-by-step explanation:

total number of pages = 286 + 424 + 290 = 1000

equal amount in 10 days,

number of pages hhe should read in the first day = 1000/10 = 100

solve the question pls​

Answers

Answer:

[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]

Write 4 2/5 as an improper fraction.

Answers

[tex]\\ \sf\longmapsto 4\dfrac{2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5(4)+2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{20+2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22}{5}[/tex]

22/5

Explanation-

First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.

Working-

4×5=20

→ 20+2=22

→ 22

22/5

Find the equation of the line passing through the points with the given coordinates. Make sure your final answer
is in slope-intercept form.
(0,-4), (2,3)

Answers

Answer:

y = 7/2x - 4

Step-by-step explanation:

7/2 is the slope and -4 is the y intercept

Answer: y = 7/2 x - 4 (not 7/3)

Reason:

Slope = (y2-y1)/(x2-x1) or (3 - (-4)) / (2-0) = 7/2

b = -4, since you have (0,-4) as the x-intercept.

The area and perimeter is needed

Answers

Answer:

Perimeter = 30 + 4[tex]\pi[/tex]  ≈42.56 cm

Area = 88 - 8[tex]\pi[/tex] ≈ 62.88 cm^2

Step-by-step explanation:

area of rectangle = 11* 8 = 88

Perimeter of rectangle = 38

perimeter of circle = 2[tex]\pi[/tex]4 = 8[tex]\pi \\[/tex]

area of circle =  [tex]\pi 4^{2}[/tex] = 16 [tex]\pi[/tex]

Answer:

Step-by-step explanation:

Area of shaded region = Area of rectangle - area of semi circle

Rectangle:

length = 11 cm

Width = diameter of circle = 4 + 4 = 8 cm

Area 1 =  length * width

          = 11 * 8

          = 88 sq. cm

Circle:

radius  = r = 4 cm

Area of semicircle =  [tex]\dfrac{1}{2}\pi r^{2}\\[/tex]

                             [tex]=\dfrac{1}{2}*3.14*4*4\\\\= 25.12 \ cm^{2}[/tex]

Circumference of semicircle = [tex]\dfrac{2\pi r}{2}=\pi r[/tex]

                                               = 3.14 * 4

                                               = 12.56 cm

Area of the shaded region = 88  - 25.12 = 62.88 = 63 square cm

Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle

                                                 = 11 + 8 + 11 + 12.56

                                                 = 42.56

                                                 = 43 cm

Which graph represents the function y - 3 = 3 (x – 4)?
414
4
y
2
2
2
2
X
X
2
4
2.
4-2
-2
24
2.
-2
O

Answers

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for

Step-by-step explanation:

The function is an illustration of a linear graph

The graph of the function has a slope of 3, and a y-intercept of -9

How to determine the equation

The equation is given as:

[tex]y - 3 = 3(x - 4)[/tex]

Open the bracket

[tex]y - 3 = 3x - 12[/tex]

Add 3 to both sides of the equation

[tex]y = 3x - 12+3[/tex]

Evaluate the like terms

[tex]y = 3x -9[/tex]

The above means that:

The graph of the function has a slope of 3, and a y-intercept of -9

Read more about linear equations at:

https://brainly.com/question/14323743

3x+5=-x-7 what is the x value

Answers

The value of x is -3

Help me pleaseeeeeeeeeee

Answers

Answer:

Part A: 2m/1s

Part B: 7m/6s or 5m/2s (I'm new to this as well)

Part C: 0m/1s

Part B is the fastest because the slope is the steepest and Part C is the slowest because there's no speed happening; it's at rest.

Step-by-step explanation:

Find the number if:

5/9 of it is 90.

And another similar question;

Find the number if:

7/3 of it is 5 5/6


I need help with both of these questions.

Answers

Answer:

162 and [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

To find the original number multiply by the reciprocal of the multiplier, that is

90 × [tex]\frac{9}{5}[/tex] = [tex]\frac{810}{5}[/tex] = 162

------------------------------------------------------------------------

Similarly

Change the mixed number into an improper fraction

5 [tex]\frac{5}{6}[/tex] = [tex]\frac{35}{6}[/tex] , then

[tex]\frac{35}{6}[/tex] × [tex]\frac{3}{7}[/tex] ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{1}[/tex]

= [tex]\frac{5}{2}[/tex]

Answer:

162

Step-by-step explanation:

If it is 5/9 of the original number is 90 we can just divide 90 by 5 to find 1/9 and then we can multiply that with 9 to get 9/9 which is the whole number.

90 ÷ 5 = 18

18 × 9 = 162

Its midpoint please help

Answers

Answer:

(-9,-9)

Step-by-step explanation:

B = (-9,-9)

A = (9,-3)

Midpoint M = (0,-6)

Step-by-step explanation:

Here,we have,

(x, y) =M(0,-6)

(x1, y1) =A(9,-3)

(x2, y2) =coordinates of B=?

Using midpoint formula, we get,

x=x1+x2÷2

or, 0=9+x2÷2

or, 0×2=9+x2

or, 0-9=x2

or, x2=-9

therefore, x2=-9

Now,

y=y1+y2÷2

or, -6=-3+y2÷2

or, -6×2=-3+y2

or, -12+3=y2

or, y2=-9

therefore, y2=-9

Hence, the coordinates of B are (-9, -9)..

helppppppp meeeee..........

Answers

Answer:

So the answer is zero slope, since the line is parallel to x-axis

Answer:

This slope is a horizontal slope which is also known as the slope of 0 because it has an infinite number of x values but just one y vale (in this case it is -1) .

I hope this helps :)

To each of the fraction below find 3 fractions with denominators powers of 10 getting closer and closer to it and hence write it to the decimal form of 1/11​

Answers

Solution:-1

[tex]\\ \sf\longmapsto \dfrac{4}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{9}[/tex]

Solution:-2

[tex]\\ \sf\longmapsto \dfrac{1}{11}[/tex]

[tex]\\ \sf\longmapsto 0.09[/tex]

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?

Complete the steps to write the equation of direct variation.

Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.

Answers

Answer:

1.✔ -4 = k(8)8 = k(-4).

2.✔ -1/2.

3.✔ y = (-1/2)x.

Step-by-step explanation:

This is 100% right

Steve buys last year's best-selling novel, in hardcover, for $22.50. This is with a 10% discount from the original price. What was the original price of the novel?

Answers

The original price of the novel is $25.

The summary are:

Steve bought the novel at $22.50 (including the discount)The discount given by the seller of the novel is 10%

So, the original price will be computed as follows:

= $22.50 / (1 - 10%)

= $22.50 / 0.90

= $25

Therefore, the original price of the novel is $25.

See related question here

brainly.com/question/5264190


PLEASE HELP…
!!!!!!!

Answers

Answer:

LM=11

Step-by-step explanation:

LN= ML+MN

4x+9=(2x+7)+(3x)

4x+9=5x+7

5x-4x= 9-7

x=2

LM=2x+7 =2(2)+7=4+7=11

You would set it up 2x + 7 + 3x = 4x+ 9
Then you combine like terms, 5x+7=4x+9
Subtract 5x-4x , 9-7 and you get x=2
Then you substitute it to LM 2(2)+7 and you get 11

I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense​

Answers

Answer:

The correct choice is option B. -7 ≤ x < 12

Step-by-step explanation:

factorization please help​

Answers

Answer:

(p - 3q)/ 5p

Step-by-step explanation:

p^2 - 7pq + 12 q^2

= (p - 3q)(p - 4q)

and

5p^2 - 20 pq = 5p(p - 4q)

The p - 4q is common to both expressions so the answer is

(p - 3q)/ 5p.

Answer:

[tex]\frac{p-3q}{5p}[/tex]

Step-by-step explanation:

Given

[tex]\frac{p^2-7pq+12q^2}{5p^2-20pq}[/tex] ← factorise numerator and denominator

= [tex]\frac{(p-4q)(p-3q)}{5p(p-4q)}[/tex] ← cancel (p - 4q) on numerator/ denominator

= [tex]\frac{p-3q}{5p}[/tex]

9. Samantha had $30 to spend on five pens. After buying them he had $4.75. How much did each pen cost? WILL GIVE BRAINLIEST AND MEED WORK DONE​

Answers

Answer:

$5.05

Step-by-step explanation:

$30-4.75=25.25 (cost of total pens)

25.25÷5=$5.05 (there are 5 pens so divide by 5)

graph the inequality v ≤ -4 graph it

Answers

Answer:

This simply means that you can move on the line all the way to -∞ from -4

Please view the image to see the graph

Step-by-step explanation:

Which of the following is equivalent to 0.00648?
A. 6.48x10'-2
B. 6.48x10'3
C. 0.648x10'3
D. 6.48x10'-3

Answers

Answer:

The choose D. 6.48x10'-3

I hope I helped you^_^

Answer: i think its D.

Step-by-step explanation:

Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?

Answers

Yesssssssssssssssssss

What fractional part of the bar is red?

Group of answer choices

1/6

2/6 or 1/3

3/6 or 1/2

4/6 or 2/3

Answers

2/6 is the correct answer

PLz help
The square of a certain negative number is equal to five more than one-half of that number. What is the number?
wrong=reported
ty<3

Answers

Answer:

[tex]thank \: you[/tex]

………………..please lolz :,)

Answers

Answer:

a^2 + b^2 = c^2

a^2 + 24^2 = 25^2

a=7

Step-by-step explanation:

41
25+24=49. 90-49=41
Hope it Helps

Find the smallest number that must be added to 7653 to make it a perfect square? Explain.

Answers

9514 1404 393

Answer:

  91

Step-by-step explanation:

√7653 is about 87.48

The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...

  7744 -7653 = 91

Adding 91 to 7653 will make it a perfect square.

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