Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros of -2, 3, and 6.

Mathematics

1 answer:

vovikov84 [41]3 years ago

8 0

F(x)=(x+2)(x-3)(x-6)

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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

Ket [755]

Option C: $220 \ cm^2$ is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

$A=2(w l+h l+h w)$

Substituting $w=10$ , $h=5$ and $l=4$ in the formula, we get,

$A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)$

Multiplying the terms within the bracket, we have,

$A=2 \cdot(40 +20+5 0)$

Adding all the values within the bracket, we get,

$A=2 \cdot(110)$

Multiplying, we have,

$A=220$

Thus, the surface area of the rectangular prism is $220 \ cm^2$

Hence, Option C is the correct answer.

4 0

3 years ago

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A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re

gizmo_the_mogwai [7]

Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12)) now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P

6 0

3 years ago

A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed

Arada [10]

Answer:

4 divided by 2 = 2 so 2carrots per cup of water

Step-by-step explanation:

Hope this helps

5 0

3 years ago

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Hi everybody!