Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Given:

f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?

First find g(- 2):

g(- 2) = (-2)² + 4 = 4 + 4 = 8

Find f(8):

f(8) = 3*8 - 8 = 24 - 8 = 16
Answer 2

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]


Related Questions

Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation

Answers

Answer:

2nd is correct

But u can also write by guessing. it is the best trick used by toppers.

Adam And Eve had 32 apple in 8 barrels how many would they have in all?

Answers

Answer:

Adam and Eve will have 4 apples in each barrel

Step-by-step explanation:

32/8

= 4

1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)​

Answers

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

Answers

9514 1404 393

Answer:

  4.5 lb

Step-by-step explanation:

The ingredients are proportional so ...

  wheat/rice = 3/2 = ??/3 lb

Multiplying by 3 lb gives ...

  ?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb

The mixture contains 4.5 lb of wheat.

_____

Additional comment

Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)

  a/b = c/d   ⇔   b/a = d/c   ⇔   a/c = b/d   ⇔   c/a = d/b

What is negative 10 divided by .22

Answers

Answer:

That would be negative 45 or - 45

Please correct me if im wrong


3. Find the difference between the two expressions.
1x - 5y)-1(x + 2y)

Answers

Answer:

[tex]-7y[/tex]

Step-by-step explanation:

Our equation is:

[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]

First we dritribute

Now we have, [tex]x-5y-x-2y[/tex]

[tex]Combine[/tex] light terms

and we get [tex]-7y[/tex]

A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000

Answers

Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.

First step is to calculate the interest on capital for each partner

Alexander=$90,000×5%=$4,500

Bertrand=$100,000×5%=$5,000

Coloma=$160,000×5%=$8,000

Second step is to calculate Coloma capital and drawing

Coloma capital =$160,000 + (5% x $160,000)

Coloma capital=$160,000+ $8,000

Coloma capital=$168,000

Coloma drawing=$168,000-$25,000

Coloma drawing=$143,000

Third step is to calculate Coloma share of profit

Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000

Share of profit=$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=4/10×$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=$21,000

Fourth step is to calculate balance in Coloma’s capital account

Coloma’s capital account balance=$143,000+$21,000

Coloma’s capital account balance=$164,000

Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.

Learn more here:https://brainly.com/question/21270829

help me pls I'm so confused

Answers

Answer:

I feel like it's A

Step-by-step explanation:

The dot looks closer

Answer and Step-by-step explanation:

The first graph (option) is the correct answer.

The line create in this graph is called the "Line of Best Fit", in which the line has to be somewhere in the middle of all the points on the scatter plot graph. The line shows the relation of the points to each other.

The line is in more proportion to the points than with the other graph.

#teamseas #PAW (Plant And Water)

I hope this helps!

Solve the equation: q –10 = -10

Answers

Answer:

q=0

Step-by-step explanation:

Answer: q = 0

-----------------------------

q - 10 = - 10

q = 0

<3

For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.

Answers

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891

does the graph represent a function?

Answers

Answer:

No

Step-by-step explanation:

fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Length is 50ft, width is 160ft

Step-by-step explanation:

work out the area of this quarter circle take p2b 3.14 to and read and other digits given by a calculator ​

Answers

Answer:

Step-by-step explanation:

area of a full circle is A = πr²

so a quarter of a circle area is A = πr²/4

A = 3.142(7²)/4

A = 38.4895 cm²               picture answer

Using π =  3.14 results in

A = 3.14(7²)/4

A = 38.465 cm²                  written question answer

For comparison purposes,

Carrying the precision of π into many more significant digits results in

A = 38.484510006474...cm²

need help with these questions

Answers

Step-by-step explanation:

these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.

the advantage of factorization is to see the 2 solutions for y=0 right away.

the general form is

y = (x + a)(x + b)

and the y=0 solutions are then simply x = -a and x = -b.

in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.

that makes the factorization :

y = (x - 1)(x - 5)

when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.

in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).

it is seemingly at x = -2.

since both solutions are equal, we have also two equal factors.

that makes the factorization

y = (x + 2)(x + 2) = (x + 2)²

24+3m>6

Plot this on a number line and show steps please

Answers

[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]

[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]

[tex]\\ \tt\rightarrowtail 3m>-18[/tex]

[tex]\\ \tt\rightarrowtail m>-6[/tex]

Refer to attachment

Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000

Answers

A because 750 times 12 because there is 12 months in a year. You get 9000

Answer:

C. $18,000

Step-by-step explanation:

Given that her semimonthly salary is $750, find her yearly salary.

Semimonthly means twice a month, meaning that she will receive 24 paychecks every year.

750x24=18,000

=$18,000

Hope this helps :)

Please help me answer it please no links or you will be reported

Answers

Answer:

what answer

Step-by-step explanation:

?????????????

If there are 42 boys and 30 girls in a room
Ratios

Answers

42 / 6 = 7

30 / 6 = 5

7 boys and 5 girls on each of 6 teams.

Note, this is the minimum number of boys and girls on a team.

There could be 70 boys and 50 girls on each of the 6 teams.

Or even 7000 boys and 5000 girls.

Ratio does not provide an specific number only the relation between two quantities

figure b is a scaled copy of figure a

Answers

Step-by-step explanation:

figure B is a scaled copy of figure B

by scale factor : 1/2

the odds against your bet are to 3. if you bet $27 and win. how much you win​

Answers

If you win, you will get eighty-one dollars ($81.00)
If you win you will get $81 because 3*27= 81

What is 55% of 20?!?!?!

Answers

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

 

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

1+10=11

That is just how i do it to make it easier for others, and sometimes for me.

Hello, is there anyone here a pharmacy technician?

Answers

Answer:

Maybe

Explanation:

8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.

Answers

1)2

2)4

3)6

4)8

5)10

6)12

7)14

8)16

9) 18

10) 20

thanks i'll mark brainliest ​

Answers

Answer:

1.

Step-by-step explanation:

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

write 90 cm as percentage of a metre??​

Answers

Answer: 90%

Step-by-step explanation:

90 cm is 0.9 m

and 0.9 m is 90% of 1 m

90% is your answer sorry if wrong

idrk uuhm ...........................................................

Answers

Answer:

huh

Step-by-step explanation:

Answer:  Im sorry what is the question?

Step-by-step explanation:

9.
Use vertex form to write the equation of the parabola.

A. y = (x + 3)^2 - 3

B. y = 2(x - 3)^2 - 3

C. y = 2(x - 3)^2 + 3

D. y = 2(x + 3)^2 - 3

Answers

The answer is A, y = (x+3)^2 -3

Answer:

Step-by-step explanation:

hmm

What is 78 1/3 as a decimal?
Pls help!

Answers

Answer:

78.333333333

Step-by-step explanation:

The price of an item has been reduced by 85%. The original price was $37.

Answers

Answer:  Multiply the original price by the decimal form of the percent and subtract that from the original price.

37*0.85=31.45

37-31.45=5.55

Answer: New price is $5.55

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