The graph of a quadratic function F has zeros of -8 and four and a maximum

Answer:

Minimum average cost = 743.75

Number of dvds to achieve the cost = 62.5

Step-by-step explanation:

Given the cost equation

C = 0.04x² − 5x + 900

To Obtian the minimum average cost ;

Find dc/dx = 0

Diffentiate cost, c it ith respect to x

dc/dx = 2(0.04x) - 5

dc/dx = 0.08x - 5 = 0

0.08x = 5

x = 5 / 0.08

x = 62.5

Substitute the value of x into C to obtain the minimum average cost

C = 0.04(62.5)² - 5(62.5) + 900

C = 743.75

Step-by-step explanation:

the answer is in the above image

Step-by-step explanation:

the final position = (-3+2 , -3+6) => (-1, 3)

the distance from the origin point =

√(2²+6²) = √(4+36) = √40 units or 6.3 units

the direction = tan~¹ 6/2 = 71.6°

Hope this explanation helps. :)

Answer:

can i have the choices

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 50x50 (because 1 mile= $50)=2500

2. 15x3 (because you need to pay 15 dollars a day)= 45

3. 2500+45= $2545

( plus tax that would be $2,875.85 IF YOUR IN CANADA )

Answer:

9.16

Step-by-step explanation:

by using pythagorean theorem,

given that PQ=4 and NQ = 2×5 = 10

NP²= NQ²-PQ²

= 10²-4²

= 100-16

= 84

NP = √84 = 9.16

Answer:

y ≥ 1

Step-by-step explanation:

The range is the values the y value can take

y ≥ 1

Answer:

<A = 45

<B = 110

<C = 25

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+ x+65 +25 = 180

Combine like terms

2x+90 = 180

Subtract 90

2x+90-90 = 180-90

2x = 90

Divide by 2

2x/2 = 90/2

x = 45

<A = x = 45

<B = x+65 = 45+65 = 110

<C = 25

∠A = 45 °

∠B = 110 °

∠C = 25 °

Step-by-step explanation:

We know that sum of all angles of triangle is 180°.

x + x + 65 ° + 25 ° = 180 °

combine like terms

2 x + 90 ° = 180 °

Subtract 90 ° from each side

2 x + 90 ° - 90 ° = 180 ° - 90 °

2x = 90 °

Divide 90 ° by 2.

x = 90 ° / 2

x = 45 °

Therefore,

∠A= x = 45 °

∠B = x + 65 ° = 45 ° + 65 ° = 110 °

∠C = 25 °

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

Answer:

2*3

Step-by-step explanation:

multiplying 2 the difference subtraction of 9-7 your answer is  2*3

Answer:

[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Step-by-step explanation:

x²+20x-12=0

a = 1, b = 20, c = -12

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]

[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Answer:

440.

Step-by-step explanation:

56/7=8

8x55=440.

Answer:

440

Step-by-step explanation:

56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.

The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.

mark me brainliesttt :)))

Answer:

the answer to x  is 33

Step-by-step explanation:

The whole thing must equal 180 degrees

Answer:

C = 5^2 * Pi * 8

Step-by-step explanation:

Formula = [tex]r^{2}[/tex]*Pi*h

r = d / 2

d=10, so r=5

h = 8

Answer:

Answer:

check the picture

Step-by-step explanation:

I hope this help

Answer:

17

Step-by-step explanation:

4a - 4 = 2a + 30

2a = 34

a = 17

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

Answer:

First term: 2x+1

Second term: 3x+3

Step-by-step explanation:

The coefficient of x is going up by 1 time each time while the constant term is going up by 2.

We are looking at these two questions basically:

1) What are the first two terms in?

_,_,4,5,6,7,8

2) What are the first two terms in?

_,_,5,7,9,11,13

Answers:

1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.

So before 4, we have 3.

Before 3, we have 2.

The sequence for the coefficient of x is 2,3,4,5,6,7,8

2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.

So before 5, we have 3.

Before 3, we have 1.

The sequence for the constant term is 1,3,5,7,9,11,13.

So first two terms of the sequence in ascending order according to the sequence is:

2x+1

3x+3

Answer:

10.5

Step-by-step explanation:

common denominator for 7z and 3z is 21z

4/7z = 12/21z

2/3z = 14/21z

12/21z + 14/21z = 13

26/21z = 13

cross-multiply to get:

26z = 273

z = 273/26

z = 10.5

Answer:

z = 10.5

Step-by-step explanation:

(4/7)z + (2/3)z = 13

multiply by 21 to eliminate the fractions

12z + 14z = 273

26z = 273

Divide both sides by 26

z = 10.5

Answer:

First you need to state the equation that represents the function.

Investment is $200 and interest rate is 5%, y is the amount of money after x periods.

Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2

After 3 periods the amount is 200 (1.05)^3

And now you can deduce that after x periods y = 200 (1.05)^x

You can then analyze the function to predict the shape and critical points of the graph.

The answers are based in the initial value and the increasing factor.

The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200

And the increasing factor is 1.05 because any value is the previos one times 1.05.

Step-by-step explanation:

Answer:

f(3) = -8

Step-by-step explanation:

f(3) means find the y value when x=3

Using the graph the y value when x =3 is -8

f(3) = -8

Step-by-step explanation:

the answer is in the above image

pls give me BRAINLIEST

Answer:

-57

Step-by-step explanation:

-19 * 3 = -57

Hope this helps!