consider these functions

Consider These Functions

Answers

Answer 1

9514 1404 393

Answer:

  C.  3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

  [tex]g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}[/tex]


Related Questions

According to a recent survey, 81 percent of adults in a certain state have graduated from high school. If 15 adults from the state are selected at random, what is the probability that 5 of them have not graduated from high school?

Answers

Answer:

0.090401

Step-by-step explanation:

Given that:

Probability of graduate = 81% = 0.81

P( not graduate) = p = (1 - 0.81) = 0.19

1 - p = 0.81

Using binomial distribution :

P(x = x) = nCx * p^x * 1-p^(n-x)

n = 15 ; x =5

P(x = 5) = 15C5 * 0.19^5 * 0.81^(15 - 5)

P(x = 5) = 15C5 * 0.19^5 * 0.81^10

P(x = 5) = 3003 * 0.0002476099 * 0.12157665459056928801

P(x = 5) = 0.090401

Answer:

D:   (15/5) (0.19)^5 (0.81)^10

Step-by-step explanation:

Which of these strategies would eliminate a variable in the system of equations?2x−5y=13
−3x+2y=13
A. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations.
B. Subtract the bottom equation from the top equation
C. Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Answers

Answer:

We conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.

Thus, option (C) is true.

Step-by-step explanation:

Given the system of the equation

2x−5y=13

−3x+2y=13

Multiply the top equation by 3

3(2x−5y) = 3(13)

6x - 15y = 39

Multiply the bottom equation by 2

2(−3x+2y) = 2(13)

-6x + 4y = 26

Adding both equations

6x - 15y = 39

+

-6x + 4y = 26

___________

0x - 11y = 65

-11y = 65               ∵ x variable eliminates

Divide both sides by -11

y = -65/11

Therefore, we conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.

Thus, option (C) is true.

after 1 1/2 hours Chris had collected 1/4 cup of water what is the rate in cups per hour

Answers

Answer

0.167 cups per hour

Step-by-step explanation:

Help please



Show two different ways to factor
-2x - 10

Answers

-2(x+5) OR 2(-x-5) I hope that helps if not please let me know!

Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *

whoever answers this first gets 16 points and a brainliest

Answers

Answer:

18.1333%

Step-by-step explanation:

I THINK this is the answer,    

The expression
*3 + 2x2 + x + 6
is equivalent to
x + 2
(3) 2x2 + x + 6
(1) x2 + 3
4
4
(2) x2 +1 +
x + 2
(4) 2x2 + 1 +
+ 2

Answers

Answer:

(2) x2+1+4/x+2

Step-by-step explanation:

I hope i am right sorry if i am wrong.

The division of expression will give -

f(x) = x² + 1 + 4/(x + 2)

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

f(x) = (x³ + 2x² + x + 6)/(x + 2)

The given expression is -

f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)

f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)

f(x) = x² + (x + 6)/(x + 2)

f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)

f(x) = x² + 1 + 4/(x + 2)

Therefore, the division of expression will give -

f(x) = x² + 1 + 4/(x + 2)

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ6

Find the slope of a line parallel to y = 1/2x + 3.

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

hope this helps

Answer:

Slope = 1/2

Step-by-step explanation:

Parallel lines have same slope.

Slope = (1/2)

The schools says they will take the students to see the movie with more than 30% of the votes. Which type of movie will the 7th graders be seeing? Explain your reasoning.
7th grade movie votes:
drama-3
comedy-8
action-4

Work:
Fraction Drama:
Fraction Comedy:
Fraction Action:
Convert to Percent:

Answers

So if everyone voted there would be only 15 ppl in the class. So 15= 100%
Now put that on the bottom for your fractions 3/15 8/15 4/15 because you need to find the percentage of the whole 7th grade.
Now to get each% divide the top number by the bottom.
3/15=.2
8/15=.53
4/15=.25
Then times each decimal by 100 to get the decimal converted to percentage.
So 53% voted for comedy.

Maria made 252 calls in 36 days. What is the average number of calls he made in a day?

Answers

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!

Which equation models the trend line?

A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2

Answers

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

The diagram below shows a rectangular sheet of cardboard with 2 circular
pieces cut from it. The radius of each of the circular pieces is 3cm. Find the
area of remaining card.

Answers

Answer:

Two sector of 90 degree cut out(90*2=180 degree) means semicircle

perimeter of circle= 2πr

= 2*22/7*3=18.85 cm

perimeter of semicircle=18.85/2=9.42 cm approx

2 =

3cm =


Explanation - solve the function operation

1680 at 12% for 6 months

Answers

Answer:

Could you please expand on your question? Once you do I will edit the answer I put (this) to telling the answer. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

It took Melanie ⅓ of an hour to ride her bike 2¾ of a mile. How many miles per hour can Melanie ride her bike?

Answers

Answer:

8.25 or 8 [tex]\frac{1}{4} \\[/tex]

Step-by-step explanation:

i need some help with this

Answers

Answer:

a) 6.1 feet

b) 12.6 feet

Step-by-step explanation:

Using trigonometric ratios we know that:

[tex]sin = \frac{opp}{hyp}\\cos = \frac{adj}{hyp}\\tan = \frac {opp}{adj}[/tex]

AKA SohCahToa.

To find the height, we will use sine.

[tex]sin(26^o)= \frac{x}{14}\\14*sin(26^o)=\frac{x}{14}*14\\14sin(26^o)=x\\x=6.14[/tex]

To find the length we will use cosine.

[tex]cos(26^o) = \frac{x}{14}\\14*cos(26^o)=\frac{x}{14}*14\\14cos(26^o)=x\\x=12.6[/tex]

list the points in a graph of f where f(x)= -2

equations is f(x)= 3x²-x-2​

Answers

Answer:

(0,-2), (1/3,-2)

Step-by-step explanation:

x2 + 10 = 6

may i quickly have this answer?

Answers

Answer:

If that is [tex]x^{2} +10=6[/tex] then answer is [tex]x=\pm2i[/tex]

If that is [tex]2x+10=6[/tex] then answer is [tex]x=-2[/tex]

Which decimal represents the shaded portion?

Answers

Answer: 1.4

Step-by-step explanation:

1 of 4 are shaded.

( not sure but i think)

.25
Only 1/4th is shaded, .25 is a fourth of the whole


Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5

3x + 2y = 6

2x + y = 6

5x + 3y = 4

drag & drop the answer
-2
3
-3
0
2
2

Answers

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

2 + y = 5

  y = 5 -2

  y = 3

3x +2y = 6

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

2x +y = 6

  2·2 +y = 6

  y = 6 -4

  y = 2

5x +3y = 4

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

I’m doing a percent equation and I need help here is the question 90% of blank =72

Answers

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

A farmer bought a tractor for Rs 400000 and sold it
after 2 years at 10% depreciation rate per year.
What is the cost of tractor after 2 years? Find.​

Answers

Step-by-step explanation:

Hope my answer helps mark me brainliest

Briefly describe this graph of a Ferris wheel.

A graph has time on the x-axis and height on the y-axis. The graph increases and decreases through 4 cycles.

Answers

Answer:

As time increases, the height of the person riding the Ferris wheel goes up and down. The Ferris wheel makes 4 rotations. The highest points on the graph are when the Ferris wheel is at its highest height. The lowest points on the graph are when the Ferris wheel is at the starting position.

Step-by-step explanation:

Answer:

The Ferris wheel makes 4 rotations. The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom. This is what it said                      

step-by-step explanation:

Sample question endogeneity 2021

The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x.



An equation is
=14.

Answers

Answer:

The answer is (2+7)*2

Step-by-step explanation:

as you can see the you have to add the bottom to the top then multiply the answer by the height to what i did was i seen if there was anything that can add to 7 with the number 2 and 5 was so put 5 at the top and multiply 7 times two you get 14  

Select the correct answer.
Which equation is equivalent to the formula below?
y = a(x-h)^2+k


Answers

Answer:

a=y-k/(x-h)^2

Can you help meh pls

Answers

me * not meh. Couldn’t help you on your problem but I helped you with your spelling.

A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .

Answers

Solution :

                    Sample size       Sample mean             Sample S.D.

Sample 1        [tex]$n_1=36$[/tex]              [tex]$\bar{x}_1=150,000$[/tex]               [tex]$s_1=17,000$[/tex]

Sample 2       [tex]$n_2=45$[/tex]              [tex]$\bar{x}_2=100,000$[/tex]               [tex]$s_2=12,000$[/tex]

[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]

                                          = 559.9896

Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]

Upper limit,  [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]

Therefore 90% C.I. is (44402.0104, 55597.9896)   or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]

Write the equation for the line

Answers

Answer:

y=4x+3

Step-by-step explanation:

The slope is positive 4 and the y intercept is 3

Answer:

y = 4x + 3

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4

The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3

Input the numbers in the equation and it's y = 4x + 3

A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm

Answers

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers

Answers

Answer:

0.96

Step-by-step explanation:

Answer:

If you're asking how much it would cost then

Nathan purchased 1/3 pounds of crackers for 0.96$

Step-by-step explanation:

When Earth is tilted towards the Sun we receive BLANK Sun rays
A. Direct
B. Indirect

Answers

Answer: i think A. Direct

Can Someone Tell Me If I will Pass My 7th Period With The Grades I Have for semester 1 A+M1, BT1, FM2, DT2, FSemExam, C+S1 Grade? someone plz tell me

Answers

Answer

If u fail the 3 main courses math, ela, and social studies you would fail, but two F's I dont think ur going to fail good luck though

Step-by-step explanation:

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