Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 3(x+4)2-5

Answers

Answer 1

Answer:

[tex]f(x) = x + 4[/tex]

[tex]g(x) = 3x^2 - 5[/tex]

Step-by-step explanation:

Given

[tex]g(f(x)) = 3(x + 4)^2 - 5[/tex]

Required

Find g(x) and f(x)

Replace all expression in bracket with x

[tex]g(x) = 3(x)^2 - 5[/tex]

[tex]g(x) = 3x^2 - 5[/tex]

The expression removed from bracket are:

f(x) and x + 4

So:

[tex]f(x) = x + 4[/tex]


Related Questions

Help me pls I need help cause I don’t get it

Answers

The answer is 2 pints

Need help plz!!!!!!!!???????

Answers

Answer:

x=16º

Step-by-step explanation:

The sum of angles in a triangle is 180º.

So,

39 + 125 + x = 180

Solve for x.

164 + x = 180

x = 180-164

x= 16

I’m pretty sure the answer is X= 16°

5. Alan and Alice play a game of noughts and crosses. From looking at previous games,
the probability of Alan winning is 0.31, the probability Alice will win is 0.45. What is
the probability of a draw?

Answers

Answer:

0.24

Step-by-step explanation:

Then the probability of a draw = 1- (p

Pr(Alan) = the probability of Alan winning = 0.31,

Pr(Alice) = the probability Alice will win = 0.45.

We are required to give probability of a draw.

= 1-(pr(alan) + pr(alice)

= 1-0.45+0.31

= 1 - 0.76

= 0.24

We have 24% probability of having a draw.

help me plz branniest to whoever is right

Answers

Answer:

1) 57 seconds

2) 28 feet

Step-by-step explanation:

Factoring method.

One computer industry expert reported that there were about 600 million computers in use worldwide in 2001 and that the number was increasing at an annual rate of about 10%. How many computers would there have been worldwide in 2009?​

Answers

Answer:

In 2009 there would be 1,286,153,286 computers.

Step-by-step explanation:

Given that a computer industry expert reported that there were about 600 million computers in use worldwide in 2001 and that the number was increasing at an annual rate of about 10%, to determine how many computers would there have been worldwide in 2009, the following calculation must be done:

2002 = 600 x 1.1 = 660

2003 = 660 x 1.1 = 726

2004 = 726 x 1.1 = 798.6

2005 = 798.6 x 1.1 = 878.46

2006 = 878.46 x 1.1 = 966.306

2007 = 966.3 x 1.1 = 1,062.9366

2008 = 1,062.93 x 1.1 = 1,169.23026

2009 = 1,169.23026 x 1.1 = 1,286.153286

1,286.153286 x 1,000,000 = 1,286,153,286

Thus, in 2009 there would be 1,286,153,286 computers.

divide 501.555 by 5 and give answer in 2 decimal number​

Answers

Answer:

100.31

I hope this helps

A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams.
a) about what percent of spiders in the colony weigh between 7 grams and 13 grams?
b) about what percent of spiders in the colony weigh less than 9 grams?
c) What is the z-score of a spider in this colony that weighs 15 grams?
d) Approximately 68% of all the spider weights would occur between what two weights.
Approximately 68% of all the spider weights would occur between ______and _______grams.
e) What percent of spiders in the colony weigh more than 15 grams?
REAL ANSWERS ONLY!

Answers

300 and 12
Have a amazing day!

A school group is planning a trip to New York City. There
are 29 people going on the trip. They spent a total of
$19,111. They agreed to share the total cost of the trip
equally. Let "s" equal each person's share of the cost.
What is each person's share of the cost?

Answers

Answer:

$659

Step-by-step explanation:

This a basic algebra question with set up.

The total cost is 19,111 with 29 people going and s being each person's cost.

19,111 = 29s

[tex]\frac{19111} {29}[/tex][tex]=s\\[/tex]

so

$659

Answer:

S=$659

Step-by-step explanation:

You have to divide 29 by 29 which give you 1 so cross that out, then do 19111 divided by 29 which is 659, so s=659.

Hope this helps:)

HELP PLS
If the perimeter of a square is 72 inches, what is its area?

Answers

Answer:

I believe 324

Step-by-step explanation:

18x4 is 72 and it's a square so they all have same size

18x18 is 324

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Answers

Answer:

8 and 5

Step-by-step explanation:

Answer:

8 and 5

Step-by-step explanation:

What is the difference in the end behavior of even and odd functions (it’s just a question there is no math problem)

Answers

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

simply:
-24d⁵z⁴/ 18d-⁵z⁴

write your answer with only positive exponents​

Answers

Answer:

-24d^10/18

Step-by-step explanation:

-24d⁵z⁴/ 18d-⁵z⁴

The two z⁴ cancel out, and when dividing exponents you subract them.

d⁵-d-⁵=d^10

Put it all together and you get

-24d^10/18

A rectangular prism has a volume of 168 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism. What is the relationship between the volume of the rectangular prism and the rectangular pyramid?

Answers

Answer:

c

Step-by-step explanation:

The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 56 cm3.

Answer:

c

Step-by-step explanation:

Changs gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Changs tank hold?

Answers

Answer:

26 gallons

Step-by-step explanation:

Set up an equation to represent this problem. Parameter (x) represents the gas tank when it is filled. Based on the problem;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x[/tex]

Inverse operations;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x\\-\frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{1}{5}x\\\\[/tex]

Convert to combine denominator, and simplify,

[tex]13 = \frac{7}{10}x - \frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{2}{10}x\\\\13 = \frac{5}{10}x\\\\13 = \frac{1}{2}x[/tex]

Inverse operations,

[tex]13 = \frac{1}{2}x\\*2\\\\26 = x[/tex]

26 gallons

Math help plzzzzzzzxysgzfrhfu

Answers

Answer:

d is answer i 100% sure for first

Answer:

A

Step-by-step explanation:

Lani had a box that contained: 1 blue marble 1 green marble 1 purple marble 1 yellow marble 2 red marbles Lani removed one marble without looking and she recorded the result. She placed the marble back in the box and repeated the procedure one more time. What is the probability that she removed a red marble followed by a blue marble?

Answers

Answer:

16.66 and 0.33 im pretty sure

Step-by-step explanation:

7. A herd of antelope is drinking at a waterhole. After a while 68 more antelope
join them. There are now 189 antelope at the waterhole. How many antelope
were there to start with? Show all your calculations,​

Answers

Answer:

121 antelope were there to start with.

Step-by-step explanation:

Initially, there were x antelope.

After a while 68 more antelope join them. There are now 189 antelope at the waterhole.

This means that:

x + 68 = 189

x = 189 - 68

x = 121

121 antelope were there to start with.

Needing some help please

Answers

we can’t see all of it honey

Will give brainliest if you answer

Answers

Answer:

Range is all real numbers such that y [tex]\leq[/tex] - 4

Step-by-step explanation:

The range is all the numbers that exist in the function, if you notice the function does not go higher than y= -4

Answer:

You only said I had to answer... not answer correctly. Anyways I think it's y = -4

Help with math thanks so much!!!!

Answers

I think the answer is 15

Debra shopped on Monday and bought a pair of shoes that was 20% off its original price
of $60.
What was the discount amount?

Answers

Answer:12

Step-by-step explanation:

60 times 20 = 1200 1200 divided by 100 = 12

need help with this question ​

Answers

Answer:

pay attention in class bru

Step-by-step explanation:

You role a six-sided die. The P(even or odd) is

Answers

Answer:

1/2

Step-by-step explanation:

1/2 is the answer to your question

Answer this correctly for brainliest

Answers

Answer:

[tex]y\geq 1[/tex]

Step-by-step explanation:

The parabola is facing upwards and the vertex is (0,1) so the range would be [tex]y \geq 1[/tex].

Answer number 3 I'm pretty sure

if the rule is y=2x+3 and the x is 21 what is y

Answers

Answer:

45

Step-by-step explanation:

To solve first, plug in 21 for x in the rule, y=2x+3. This makes the rule y=2(21)+3. Then simplify to find y.

Multiply 2 and 21, y=42+3. Next, add, y=45.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = 21}[/tex]

[tex]\large\text{y = 2(21) + 3}\\\large\text{2(21) = 42}\\\large\text{y = 21 + 3}\\\large\text{45 = 42 + 3}\\\large\text{= \bf{\underline{y = 45}}}\\\\\boxed{\boxed{\large\text{Answer: \bf{y = 45}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

please...... !!!!!!!

Answers

Answer:

Answer is 5

Step-by-step explanation:

I did math that's explaining.

Answer:

for 15 i think its B, 70 + 20w greater/equal to 150

Convert to a mixed number and simplify 83/6 pls help pls give a explanation so i can understand pls thank you.

Answers

Your answer is 13 5/6

Petra has a second larger box that is 6 inches by 8 inches by 4 inches. How many times larger is the volume of this second box? The surface area?

Answers

Answer:

volume is 8 times larger and surface area is about 2.7 times larger

Step-by-step explanation:

a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.

solve for t
–9.96 + 9.9t = 1.54 + 7.7t + 7.2t

Answers

Answer:  -2.3

Step-by-step explanation:

–9.96 + 9.9t = 1.54 + 7.7t + 7.2t

–9.96 + 9.9t = 1.54 + 14.9t

-9.96 - 5t = 1.54

-5t = 11.5

t = -2.3

Is 12.6 greater or less than 9.76

Answers

Answer:

12.6 Is greater then 9.76

The Reson Is because it 12.6 is higher on the number chain!

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Hope this helps :)

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