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tatuchka [14]
3 years ago
8

Item 3 Question 1 A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a

costume that costs $38 and a microphone that costs c. What did the teacher spend on each microphone?
Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

The microphone was $126.

You would multiply $38 by 6 which equals $228.

Then do $354-$228 which equals $126.

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$
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QUESTION 1

Given that:

f(x)=2x^2+3x-9,

g(x)=5x+11,

and

h(x)=-3x^2+1

Then;

f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)

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Group similar terms;

f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1

Simplify;

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QUESTION 2

Given that;

f(x)=4x-7.

g(x)=(x+1)^2

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Substitute the functions;

s(x)=4x-7+(x+1)^2

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s(3)=4(3)-7+(3+1)^2

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Given:

f(x)=3x+2

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f(g(x))=f(x^2-5x-1)

This implies that;

f(g(x))=3(x^2-5x-1)+2

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f(g(x))=3x^2-15x-3+2

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QUESTION 4

The given function is;

f(x)=3(x-6)^2+1

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y=3(x-6)^2+1

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\Rightarrow x=6+\sqrt{\frac{y-1}{3}}

The range is:

\frac{y-1}{3}\ge0

y-1\ge0

y\ge1

The interval notation is;

[1,+\infty)

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