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)

Answer:

y = 7/2x - 4

Step-by-step explanation:

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

[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

Hi :)

The price per share after 4 hours is $33.65.

Answer:

$33.65

Step-by-step explanation:

The original price of the novel is $25.

The summary are:

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

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

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

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)..

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]

Answer:

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

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:

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.

Answer:

a^2 + b^2 = c^2

a^2 + 24^2 = 25^2

a=7

Step-by-step explanation:

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

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.

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

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

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

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]

Answer:

The choose D. 6.48x10'-3

I hope I helped you^_^

Answer: i think its D.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

1.✔ -4 = k(8)8 = k(-4).

2.✔ -1/2.

3.✔ y = (-1/2)x.

Step-by-step explanation:

This is 100% right

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:

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)

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

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!

Answer:

[tex]thank \: you[/tex]

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 :)

Answer:loss

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