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MrRissso [65]
3 years ago
14

Find (f∘g)(x) if f(x) = 2x - 1 and g(x) = x + 2.A.2x - 3B.2x + 1C.2x - 1D.2x + 3

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
(f∘g)(x) = f(g(x)) = f(x +2)
= 2(x +2) -1
= 2x +3 . . . . . selection D
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Brand A = 21 heart-rate watches.

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Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

A+B=34...(1)

We have been given that in a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99 and the organization spent ​$1619.66 for the​ watches.

We can represent this information in an equation as:

39.99*A+59.99*B=1619.66...(2)

We will use substitution method to solve our system of equations.

From equation (1) we will get,

A=34-B

Substituting A=34-B in equation(2) we will get,

39.99*(34-B)+59.99*B=1619.66

1359.66-39.99*B+59.99*B=1619.66

-39.99*B+59.99*B=1619.66-1359.66

20*B=260

B=\frac{260}{20}

B=13

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

A+13=34

A+13-13=34-13

A=21

Therefore, the organisation purchased 21 heart-rate watches of brand A.

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