Answer:

Step-by-step explanation:
Required
Translate the statements to algebraic expression
Represent the power with x;
So, the left hand side is
<em>Power of 10: </em>
<em />
<em>Times n: </em>
<em />
<em />
The right hand side is:
<em>0.1515 * power of 10: </em>
<em />
Equate the right hand side to the left:


Hence;
<em>The required expression is </em>
<em />
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

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

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

therefore
the answer Part b) is
the cubic polynomial function is equal to

A circular wading pool at a park has a radius of 21 feet. Find the circumference of the pool. Use 22/7 <span>for .
C=2πr=2·π·21
≈131.94689ft
</span>
131.95
Answer:
85 = 5x + 20 is the inequality.
Step-by-step explanation:
Why is it right? Because I said so.
Just kidding. Here:
The cost of the games, 5, is multiplied by x, which is the amount of games that Angel will buy. To solve:
Subtract 20 from both sides:
65 = 5x
Divide 65 by 5.
The answer of the question is: Angel can buy 13 games. (Angel! That's a waste of 65 bucks!)
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards