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lukranit [14]
3 years ago
15

Help pls!!

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

B) 5

Step-by-step explanation:

We are given the function:

f(x)=x(x+3)

We are given that f(a) = 40 and <em>a</em> > 0 and we want to determine the value of <em>a</em>.

Substitute:

f(a)=40=a(a+3)

Distribute:

a^2+3a=40

Subtract 40 from both sides:

a^2+3a-40=0

We can factor using 8 and -5. Hence:

(a+8)(a-5)=0

By the Zero Product Property:

a+8=0\text{ or } a-5=0

Solve for each case:

\displaystyle a=-8\text{ or } a=5

Since <em>a</em> > 0, we can eliminate the first solution. Hence:

a=5

Our answer is B.

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