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madreJ [45]
3 years ago
6

If f(x)=3x+7 and g(x)=2x-5 find g(f(-3))A. -26 B.-9 C. -1 D. 10

Mathematics
1 answer:
love history [14]3 years ago
3 0
f(x)=3x+7 \\   g(x)=2x-5 \\ \\   g(f(-3))  = ? \\ \\f(-3)=3x+7 =3 \cdot (-3)+7=-9+7=-2 \\ \\ g(-2)=2x-5 =2*(-2)-5=-4-5 = -9\\ \\ g(f(-3)) = -9 \\ \\ Answer: \ B.) \ \ -9
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The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,
vlabodo [156]

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

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Read more about system of equations at:

brainly.com/question/14323743

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8 0
2 years ago
There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 pe
maria [59]

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

x - 19 + 17 = 63\\; if x = # people at the beginning

x - 19 + 17 = 63\\x - 2 = 63\\x = 65

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6 0
3 years ago
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What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88
kipiarov [429]

Answer:

\frac{3}{88}

Step-by-step explanation:

Given

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Required

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Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

\frac{1}{8} * \frac{3}{11}

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

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So,

\frac{1}{8} * \frac{3}{11}

=\frac{1 * 3}{8 * 11}

= \frac{3}{88}

At this point, the fraction can't be simplified any further.

Hence,

\frac{1}{8} * \frac{3}{11} = \frac{3}{88}

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