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3 years ago

If f(x) = -x + 5 and g(x) = 3x + 2, Find f(2)*g(2).

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

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1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?

Murrr4er [49]

Q1. The answers are (–1, 8), (0, 7), (3, 18)

–3x + y ≥ 7
Let's go through all choices:

(–2, –3)
(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT

(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT

(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT

(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT

(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT

Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
y ≥ 0

x - small boxes
y - large boxes

He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each on a shelf that holds up to 80 lb:
5x + 12y ≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0

8 0

3 years ago

I really need help with this FAST PLEASE!!!!!

Evgen [1.6K]

It is 1 and - 3 so b yeah

8 0

3 years ago

Read 2 more answers

Select the function that represents the simple interest formula.

Anit [1.1K]

Answer:

D. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to calculate the simple interest is:

$SI = \frac{Pnr}{100}$

Replace i by $\frac{r}{100}$ , then

SI = Pni

where n is the number of years.

So, for n-1 years, the simple interest is:

SI = P(n-1)*i

The Total amount is:

A(n) = P + (n-1)i*P

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3 years ago

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Write the equation for the given information slope: -11, point (-1,20)

Dimas [21]

Answer:

y = -11x + 9

Step-by-step explanation:

m = -11

x = -1

y = 20

Plug those values into the equation to find b: y = mx + b

20 = (-11)(-1) + b

---> b = 9

Plus m = -11 and b = 9 into y = mx + b

---> y = -11x + 9

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3 years ago

According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif

suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

$\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018$

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

$z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55$

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

$P(0.79$

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3 years ago