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2 years ago

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If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bot

tom of the building?

1 answer:

Anton [14]2 years ago

4 0

If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

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Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

therefore

the answer Part b) is

the cubic polynomial function is equal to

$x^{3}-10x^{2} +31x-30=0$

7 0

2 years ago

Read 2 more answers

Amelia and Carmen read every night. Amelia reads the same number of pages each night. So does Carmen. The table shows the number

dmitriy555 [2]

What is the question?

6 0

2 years ago

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The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for thi

xxTIMURxx [149]

Simple...

you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

Thus, your answer.

7 0

2 years ago

Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)

madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0

2 years ago

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The two circles shown above have radii of 8 in. and 4 in. What is the Circumference of the both?

Dmitry [639]

Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Step-by-step explanation:

Radius of circle 1 = 8 inches

Radius of circle 2 = 4 inches

We need to find circumference of both circles.

The formula used to find the value of circumference is:

$Circumference=2\pi r$

Finding Circumference of Circle 1:

Radius = 8 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*8$

$Circumference=50.24\,\,inches$

Finding Circumference of Circle 2:

Radius = 4 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*4$

$Circumference=25.12\,\,inches$

So, Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Keywords: Circumference of Circle

Learn more about Circumference of Circle at:

#learnwithBrainly

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2 years ago