9. Find (f.g)(a) if f(a) = . and g(a) = 2². Fully simplify your answer.

A. (F•g) = 1/a

B. (F•g) (a) = a

C. (F•g) (a) = 1/a^2

D. (F•g) = 1

Answers

Answer 1

D is your answer ....


Related Questions

A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

The graph shows the relationship between the gallons of water a sprinkler system uses and the number of minutes the system is used.

Answers

Answer:

??? what graph

Step-by-step explanation:


HELP PLEASE THIS IS MY 3RD TIME POSTING THIS QUESTION PLEASE HELP

Answers

Answer:

11 1/2

Step-by-step explanation:

cause no one wana take the time to help u they not cool brainliest pls pls pls

Answer:

11 1/2 t just did this problom

Step-by-step explanation:

Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning​ car, driven by Sam​, finished in 185.29 minutes. The previous​ year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that​ year, driven by Rita​, finished in 110.02 minutes. Find their respective​ z-scores. Who had the more convincing​ victory?

Answers

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

If someone can just answer the first question that would be so helpful plzzz

Answers

Answer:

I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.

Step-by-step explanation:

Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45

Answers

Answer:

B

Step-by-step explanation:

Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.

-1.79, 2, 2.54, -4

Answers

Answer:

-4,-1.79,2,2.54

Step-by-step explanation:

You'll have to do the explanation yourself, but here are a few pro tips!

-Explain which numbers are farthest from 0.

-Explain where each number will go on the plot.

-Use words like farthest, less than, greater than, negative, and integer.

-Make your explanation at least 2 sentences long!

You got this, I know you can do it-! Have a meme to help! <3

Please help me if u know

Answers

Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]

              x = [tex]\frac{3-\sqrt{21} }{4}[/tex]

Step-by-step explanation:

First to answer and get right gets brainleist and there is ma points pls help

Answers

Answer:

#11 is D. x = u - k

#12 is D. x = gc

Step-by-step explanation:

I plugged random integers to test this. Anyhow, just do the inverse operation.

#11:

13 = x + 8

x = 13 - 8

x = 5

Here, x = u - k is the new equation.

#12:

23 = x/9

x = 23(9)

x = 207

Here, x = gc is the new equation.

Help plz! Will give brainliest!

Answers

Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more

Step-by-step explanation:

Answer:

D sqrt 72

Step-by-step explanation:

The answer is not A because 8.89 = sqrt 79 and that is too high

The answer is not B because 9.06 = sqrt 82

The answer is not C because 7.94 = sqrt 63

The answer is D 8.49 = sqrt 72 and that is perfect.

Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

•••••••••••••••••••••

Answers

Answer:

the answer is g

Step-by-step explanation:

20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3

Answer:

Step-by-step explanation:

Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped

Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2

Answers

The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

How to find the value of the function as x approaches infinity(+ve or -ve)?

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

Testing all the four functions listed for x tending to -∞ or ∞:

Case A: [tex]y = (x+ 2)^3 -9[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]

(since cube of negative quantity is going to be negative)

Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.

Case B: [tex]y = -2x^3-1[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]

(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.

2.  For x approaching ∞

[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]

So function approaches negative infinity as x approaches positive infinity

Thus, the considered function behaves as needed.

Case C: [tex]y = -3x^3 + 4[/tex]

Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.

Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.

Case D: [tex]y = 3(x-1)^2[/tex]

Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.

Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

Learn more about limiting values of a function here:

https://brainly.com/question/13146225

Answer: y=-2x^-1

Step-by-step explanation:

HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?

A 137
B 77
C 83
D 105

Answers

Answer:

I'm sure the answer is A

Step-by-step explanation: There is none, I saw someone else answer this.

Answer:

I'm pretty sure it's 83

Step-by-step explanation:

Teacher explanation that I still don't really understand

The function f(x) varies inversely with x and f(x)=2 when x = 16.

What is f(x) when x = 4?

Answers

Answer: The correct answer is:  [D]:  "8" .

Step-by-step explanation:f y varies inversely with x;  then y = k/x ; with "k" being the "constant" in this equation.  

You can find the constant by substituting the values given: x = 16,  f(x) = y = 2 ;

So, f(x) = y = 2  = k/16 ;

→  2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→  16* (2) = (k / 16) * 16 ;

→  32 = k ;

 ↔  k = 32 ;  

As such, we can write the equation:

y = k/ x ; as:

→  y = 32/ x ;

Since we are given:  "x = 4" ;  Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So;  f(x) = 8 ;  which is:  Answer choice:  [D]:  "8" .

Which scenario will have a quotient of 4/12?

A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?


B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?


C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?


D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?

Answers

Answer: A

Step-by-step explanation: just a feeling

Answer:

a

Step-by-step explanation: the question is aking you what 4/12 equals.

the answer A is asking you what 4 divided by 12 is (0.33333333)

                                                         

b) is multiplying

c) is has a 3 which is not in the question

d) is improper

Patty used 740.88 gallons of water over the course of 7 days. How much water did Patty use, on average, each day?

Answers

105.84 water used on average each day.

740.88 divided by 7 will give you 105.84

Or, 7 times 105.84 will get you 740.88

There were many ways you could get this, hope this helped!

need help asappp!!! please help me out guys

Answers

Answer:

12

Step-by-step explanation:

X=3

Y=9

I needed more characters

If f(x) =2x²-x, find f(-4)-f(9)​

Answers

f(-4) = 36
f(9) = 153

State the domain and range of the function:
domain:
range:​

Answers

Answer:

Domain: [-5, 1)

Range: (5, 1]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]

Help please need this soon

Answers

Answer:

I'm too dum to help but thanks for the points dude

Step-by-step explanation:

Answer:

4 and 5:yes and no

Step-by-step explanation:

4.one to many is not a function

5.It is a function because it is a many to one relation

PLZZZ HELP NO ONE WILL HELP ME PLZZZZ IM GIVING 50 POINTS PLZZZZ

Answers

Using the grid u could determine that the starting point, (-5.31, 1) would be in quadrant Q and the finishing point would be quadrant S. You are able to determine this by comparing the (X,Y) values given to those of the graphs. For example , the x value of the starting point is negative which only happens in quadrant Q.

Checkpoint (5.31, 1) is different from the startpoint or (-5.31, 1) because it is positive x which puts it on the other side in quadrant P.

6x2 + 7x - 49
What is the answer

Answers

Answer:-

Step-by-step explanation:

Answer:

7x - 37

Step-by-step explanation:

2.31 (1 repeating) as a fraction​

Answers

Answer:

[tex]\frac{231}{100}[/tex]

This is assuming that you can simplify the 2.31 to the nearest hundredth.

State the transformation(s) from the parent function f(x).
will mark as branliest

Answers

Answer:

Try C and see if it works, but read info below

Step-by-step explanation:

Refer to the equation y=a(x-h)^2+k

If a>0 then the parabola opens up and horizontally compresses (shrinks)

If 0<a<1 then the parabola opens up and horizontally stretches

If a<0 then the parabola opens down and horizontally compresses (shrinks)

h is the horizontal shift (along the x-axis)

k is the vertical shift (along the y-axis)

Given the function f(x)=3(x+1)^2-2, we can identify the values:

a=3, so the parabola opens down and horizontally compresses (shrinks) by a factor of 3

h=-1, so the horizontal shift is one unit to the left

k=-2, so the vertical shift is 2 units down

Given the above information, none of the answer choices are correct unfortunately. Your best option to pick is C.

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

Who gets this correct gets the brainliest answer​

Answers

Answer:

(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5

to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2

slope = -5

y-intercept = -2

and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b

where m is the slope

b is the y-intercept

the equation of this line is " y = -5x -2 "

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?

Answers

Answer:

$1.77

Brainliest please?

Step-by-step explanation:

5.25+2.98=8.23

10-8.23=1.77

What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?

Answers

Answer:

-24

Step-by-step explanation:

The standard from of equation of a line is expressed as g(x) = mx+c where;

m is the slope

c is the y-intercept of the line.

Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;

g(x)= (- 8)(x +3)

gx)= -8x - 24

On Comparing with g(x) mx+ c, we will see that;

c = -24

Hence the y-intercept of the quadratic function is -24

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