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3 years ago

Given f(x)=5x-3 and g(x)=x^2, find g(f(2))

Mathematics

1 answer:

hammer [34]3 years ago

5 0

F(2) = 5(2) - 3 = 7
so
g((f(2)) = g(7) = 7^2 = 49

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What is the system solution to 8x + 7y = 39

ludmilkaskok [199]

Answer:

-8/7

Step-by-step explanation:

I thinks this is the answer

8 0

2 years ago

Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $

Flauer [41]

Answer:

She spends $30 in total.

Step-by-step explanation:

Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:

Every week Judy buys:

5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.

3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.

2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.

2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.

1 giant container of ice cream, she spends $7 on it.

So the total money that she speends is:

$5 + $9 + $4 + $10 + $7 = $35

And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.

So she will spend a total of $35 - $5 = $30

She spends $30 in total.

3 0

3 years ago

Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. <br> A)−6 B)−4 C)3 D)8

Katen [24]

Answer:

B. -4

Step-by-step explanation:

We want to find x such that f(x)=18.

We need to therefore solve 9x+54=18 forx.

9x+54=18

Divide both sides by 9:

(9x+54)/9=18/9

9x/9+54/9=18/9

Simplify:

x+6=2

Subtract 6 on both sides:

x=2-6

Simplify

x=-4.

So f(-4) should have value 18.

Let's check.

f(x)=9x+54

f(-4)=9(-4)+54

f(-4)=-36+54

f(-4)=18

So the answer is B.

7 0

3 years ago

Read 2 more answers

Evaluate the expression when a=5.<br>a² - 17

jek_recluse [69]

Answer:

a²-17=8

Step-by-step explanation:

5²-17= 25-17

= 8

8 0

2 years ago

Read 2 more answers

A, B & C form the vertices of a triangle.

Savatey [412]

Answer:

BC = 17.2.

Step-by-step explanation:

Since CAB = 90º, this is a right triangle.

The triangle format is given below:

A B

We have that AB = 8.6, and angle B measures 60º.

Length of BC:

BC is the hypotenyse.

Side AB is adjacent to angle B = 60º.

In a right triangle, angle $\alpha$ , it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:

$\cos{\alpha} = \frac{s}{h}$

In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So

$\cos{\alpha} = \frac{s}{h}$

$0.5 = \frac{8.6}{h}$

$0.5h = 8.6$

$h = \frac{8.6}{0.5}$

$h = 17.2$

BC = 17.2.

4 0

3 years ago