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3 years ago

Show all work. Calculate and find the x-intercepts of the following function: f(x)=x^2+5x-36

1 answer:

5 0

We can do this by factoring: x^2 + 5x - 36, which is (x+9)(x-4)
We plug f(x) as 0, so (x+9)(x-4)=0, so x = -9 and x = 4
The x-intercepts are (-9, 0) and (4, 0).
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Hope this helps!

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The sides of a hexagon are equal in length. The perimeter of the hexagon is at most 42 in. Find the possible side lengths of the

lidiya [134]

42/number of sides in a hexagon
42/6
7 in

Hope this helps!

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="

Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0

3 years ago

Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d

fredd [130]

Answer:

Repeating

Terminating

Repeating

Step-by-step explanation:

5 2/7 as improper fraction is 37/7 and it equals 5.28571428571 which makes it repeating because the numbers don't stop.

7/16 is equal to 0.4375 making it terminate because the numbers stop.

14 5/9 as an improper fraction is 131/9 and 131/9 is 14.5555555556 and that is a never ending pattern so it is repeating.

3/22 is equal to 0.13636363636 it is repeating because the numbers never stop.

3 0

1 year ago

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar.

NeTakaya

Answer:

(a) 2 3/8 cups

(b) 3-cup

Step-by-step explanation:

1 1/2 + 3/4 + 1/8

The common denominator is 8

1 4/8 + 6/8 + 1/8 = 1 11/8 = 2 3/8 cups

I choose 3-cup mixing bowl since it fits 2 3/8 cups ingredients.

6 0

3 years ago

Wesley jogs 10 miles each weeks. Then he jogs 20 miles each week for 3 weeks how many miles does Wesley jog in 5 week?

Kruka [31]

I think he would jog 80 miles in 5 weeks
20+20+20+10+10=80

6 0

3 years ago