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nikitadnepr [17]
3 years ago
13

P=2a+2b; P=56, a=12 solve for b

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

b = 28/13

Step-by-step explanation:

Solve for b:

13 b = 28

Divide both sides of 13 b = 28 by 13:

(13 b)/13 = 28/13

13/13 = 1:

Answer: b = 28/13

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
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Answer:

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Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

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Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

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15x((x^2-3x)+(2x-6))=0

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15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

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