Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11 ​

Answers

Answer 1

Answer:

g(f(-3)) = -11

Step-by-step explanation:

First, we evaluate f(-3) and then plug that value into g(x) for x:

f(x) = 5x + 11

f(-3) = 5(-3) + 11 = -15 + 11 = -4

Therefore:

g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11

Answer 2

Answer: -11

Step-by-step explanation:

Find the value of g(f(-3)) given the two equations:

f(x) = 5x + 11

g(x) = x² + 4x - 11

Plug -3 into equation f(x).

f(-3) = 5(-3) + 11

Solve for f(x).

-4 = f(-3)

Plug -4 into the equation of g(x).

g(-4) = (-4)² + 4(-4) - 11

Solve for g(x).

g(-4) = (16) + (-16) - 11

g(-4) = -11

The value of g(f(-3)) is -11.


Related Questions

I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)

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Answer:

1. B

2. D

3. E

4. C

5. A

6. F

help!!!!!!!!!!!!!!!!!!

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i’m pretty sure it’s b

What is the least common denominator of 10/19 and 2/13

Answers

Answer:

Step-by-step explanation:

Step 1 find the least common multiple of lcm of the denominators

Expand the function.
f(x) = (2x + 3)4

Answers

Answer:

y = 8x + 12

Step-by-step explanation:

y = (2x + 3)4

Distribute the 4 to the 2x  and 3

y = 8x + 12

^ Expanded form

Round 0.13171 to the thousandths place (three decimal places).

Answers

Answer is 0.132 ........
0.132, and that’s pretty much it

which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)

Answers

Answer:

D. 2x^3(x-3)/5(x+3)

Step-by-step explanation:

when we simplify it.. we get 2x^3(x-3)/5(x+3).

Pls help. The question is on the picture

Answers

Volume of the square part" 20 x 20 x 37 = 14,800 m^3

Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3

The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:

3872.67 x 3/4 = 2904.50m^3

Total volume = 14,800 + 2904.50 = 17,704.50

Round to nearest m = 17,705 m^3


35% of a number is what fraction of
that number?

Answers

Answer:

1/2

Step-by-step explanation:

because I just took the test

Answer:

Step-by-step explanation:

35/100 = 7/20

Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5

Answers

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

Find the measure of

Answers

Answer:

Step-by-step explanation:

180 - (180 - 102) - (180 - 123) = 180 - 78 - 57 = 45°

Find the value of x that makes the equation true:

x + 3 = 4

a. x = 12
b. x = 2
c. x = 1
d. x = 7

Answers

Answer to this question is option C

9w=8w-5
[tex]9w=8w-5[/tex]

Answers

Answer:

9w=8w-5

collect like terms

9w-8w=-5

w=-5

Match question I need help
Please.

Answers

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write a linear function f
with f(5)=−1
and f(0)=−5
.

Answers

Answer:

f(x) = 4/5x - 5

Step-by-step explanation:

y-mx+b

m=-5-(-1)/0-5=4/5

y = 4/5x + (-5)

y = 4/5x - 5

You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

Answers

Answer:

by the empirical rule, 95% of the population is within 2 standard deviations of the mean

55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)

95% of the population falls between 36.6 and 73.4 ounces

Step-by-step explanation:

Write an equation for the sentence.

Four times a number less 10 is equal to 16 ?

Answers

Answer:

four times a number less 10 is equall to 16 ia not

CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain. ​

Answers

The ramp walk is more difficult than the hill. Those who know can only be about that.

2/5+1/2=====================

Answers

Answer:

9/10

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

9/10

Decimal Form:

0.9

can someone heelp me plz plz

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Answer:

d)fluid ounce may be right answer

-(b-z)-(-2b+z)-(-3b-z)

Answers

Step-by-step explanation:

4b + z I think lol I honestly looked it up

please help this is for my study guide thanks! ​

Answers

The volume is 29.32 <3

PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

80.22

Step-by-step explanation:

Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.

Answers

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

Answers

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

What is permutation and combination?

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

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A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years​

Answers

Answer: $420

To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.

dur rn help pls ))))))))))

Answers

I believe it is a because I had a question just like that in 8th grade

simplify 4y(4y-4)-4(-4y+5+4y2)

Answers

-32y - 20 is the answer




Thank me later

-4x^2+64x+256=0 completing the square

Answers

[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]

50 points for the answers to this question

Answers

Answer:

linear, non linear, non linear, non linear

Linear
Linear
Nonlinear
Linear

Hope this helps

A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.

Answers

Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.

Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:

= 25/40 = 0.625.

The amount that will be removed in 59 hours will be:

= 59 × 0.625 = 36.875

The number of milligrams that will remain will be:

= 50 - 36.875 = 13.125 milligrams

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