If g(x) =4x+2 and f(x) =3x-10

find g(f(3))

Answers

Answer 1

Answer:

[tex]g(f(3))=-2[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]

And we want to find g(f(3)).

So, let's find f(3) first:

[tex]f(3)=3(3)-10[/tex]

Multiply:

[tex]f(3)=9-10[/tex]

Subtract:

[tex]f(3)=-1[/tex]

Therefore, we can substitute -1 for f(3):

[tex]g(f(3))=g(-1)[/tex]

Now, find g(-1):

[tex]g(-1)=4(-1)+2[/tex]

Multiply:

[tex]g(-1)=-4+2[/tex]

Add:

[tex]g(-1)=-2[/tex]

And we're done!

So:

[tex]g(f(3))=-2[/tex]


Related Questions

What is the answer this probelm​

Answers

Answer:

heya this is your answer

Step-by-step explanation:

1) angle 1 = angle EAB

2) angle 3 = 55 degree

3) angle ABF = angle 2 + angle 3

                     =  90 degree + 55 degree

                     = 145 degree

plz mark me as brainliest

The perimeter of a square is defined by the function p(s)=4s if the perimeter is no more than 48 cm, which statement describes the domain for s, the side length of the square?

A. 0 < s ≤ 12
B. [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]
C. All real numbers
D. s ≤ 12​

Answers

Answer:

A. 0 < s ≤ 12

Step-by-step explanation:

Given

p(s) = 4s

If

P ≤ 48

Then

4s ≤ 48s ≤ 12

Since perimeter can't be negative or zero, the domain will be:

0 < s ≤ 12

Correct choice is A

if f(x)=x^2, and
g(x)=x-1,then

f(g(x))= ___x^2+___x+____

Answers

Answer:

(1)x²+(1)+ (-2)

Step-by-step explanation:

f(g(x)= f(x-1) = (x-1)²

=x²+1-2

Answer:

Step-by-step explanation:

f(g(x))

g(x) = x - 1

f(x - 1)= (x - 1)^2 = x^2 - 2x + 1

Using the statements: If it is Friday, then I will get paid. It is Friday. Write the conclusion

Answers

Umm... You will get paid

A weather balloon ascended from an elevation of 18 feet below sea level to an elevation 19 1/2 feet above sea level. What distance dd the weather balloon rise?

Answers

Answer:

The ballon rose a distance of 37 1/2 feet

Step-by-step explanation:

Here, we are interested in calculating the level of ascent of the weather balloon.

From the question, we are told that the ballon made a transition from below the sea to above the sea.

Now to calculate the total distance, we shall

be adding the distances below the sea and the distances above;

Mathematically, that would be;

18 feet + 19 1/2 feet = 37 1/2 feet

6. Henry's room rent is $40. His electricity bill is $10 and food expenses are
$15. His job deposited his salary of $60 into his bank account. What would
be the balance remaining after paying his monthly expenses?

Please help me

Answers

Answer:

henry would be -5$ in debt other words he needs 5$ in order to pay for his monthly expenses

nenr World -5 un debt otner

2x +8=2(x + 4) what is x

Answers

Hey there!☺

[tex]Answer:\boxed{\text{True Solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]2x+8=2(x+4)[/tex]

All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.

Hope this helps!

HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.

Answers

Answer:

D(3,0) is correct answer


Garrett is cutting wood. He can cut 50 bundles an hour. Write an expression to represent the
number of bundles he can cut after h hours.

Answers

50h this is because 50 per hour means every hour 50 bundles are cut

True of False? 3x +6=12

Answers

Answer

false 3 times 6 doesn't =12 that would be 18 2 times 6 =12

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Classify by degree of polynomial:
3x3 - 6x

Answers

Answer:

polynomial of degree 3

Step-by-step explanation:

Given

3x³ - 6x

The degree of a polynomial is given by the exponent of the term with the largest exponent.

In this case 3x³ has exponent 3 and - 6x has exponent 1

Thus this is a polynomial of degree 3

Explain what a ratio is and provide two examples- Please help it would help me out a lot.

Answers

a ratio indicates how many times one number contains another examples 4:3 2:3

Answer:

A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".

2 examples:

2:5

4 to 3

5/6

If there are 679 peaches and then you divide by 4.How many do u have in all.

Answers

Answer:

if you have a total of 679 peaches and you split them up into 4 different groups, you will have 169 whole peaches in each but you'll have .75 of a peach left over.

Step-by-step explanation:

The quotient of the three times a number and the quantity 4 plus the same number. Use n.

Answers

Question :

if the quotient of three times a number and four is decreased by three, the result is nine. whats the number

Answer :

Trevor,

number = x

(3x÷ 4) - 3 = 9

Use a common denominator 4: 3x - 12 = 36

3x = 48

x = 16

Does it fit the original equation?

[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9

Hope it helps

your cell phone plan cost $24.99 per month plus $0.12 for each text message you send or receive. you have a most $30 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?

10 points ​

Answers

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

PLEASE HELP!!!! which values are in the domain of the function f(x)=-6x+11 with a range {-37,-25,-13,-1}? Pick ALL that apply
a. 1
b. 2
c. 3
d. 4
e. 5
f. 6
g. 7
h. 8

Answers

Answer:

e or f

Step-by-step explanation:

Someone help !! These are Absolute values & integers !!

Answers

Answer:

4,9,12,24,5,5,1,11,9,9

Step-by-step explanation:

those are the anwsers, in order

see if you solve this types of sum firstly you understand it ok

+ × += +

+ × -= -

- × - =+

ok

like 2 +[-3]

ok + × - = -

ok

like you subtract it 2+ [-3]

2-3 = 1

2. Deena drove 585 miles in 9 hours. How fast did she drive in 1 hour?​

Answers

Answer:

Deena drove 65 miles in 1 hour

Step-by-step explanation:

hope it helps

40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.

Answers

Answer:

  21.81 ft

Step-by-step explanation:

For an arc of measure α and radius r, the arc length is ...

  s = r·α . . . . . . where α is in radians

Then the linear speed is ...

  s' = r·α'

Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...

  r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft

  r ≈ 21.81 ft

The length of the pendulum is about 21.81 feet.

Explain the steps you would take to find the quotient of 1/3 divided by 4/3

Answers

Sample Response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

here u go:)

First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

have a great day :)

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Answers

Answer:

x+x+7-x=44

x+7=44

x=44-7

x=37

If you shift the quadratic parent function, f(x) = x2,right 12 units, what is the
equation of the new function?
A. g(x) = x² + 12
B. g(x) = x2 - 12
ООО
C. g(x) = (x - 12)
D. g(x) = (x + 12)

Answers

The answer is c I’m pretty sure

q(x)=4/5x-9 q(x)=3 PLEASE HELP

Answers

Answer:

  x = 15

Step-by-step explanation:

Put the given information in the equation and solve for the variable.

  3 = 4/5x - 9

  12 = 4/5x . . . . . . . . . . . . . . add 9 to get the x term by itself

  (5/4)(12) = (5/4)(4/5)x . . . . multiply by the inverse of the x coefficient

  15 = x

A box contains 7 red, 14 yellow, 21 green, 42 blue, and 84 purple marbles. A marble is drawn at random from the box. Find the odds against drawing a purple or yellow marble.


A. 5 to 7


B. 5 to 12


C. 2 to 7

Answers

Answer:

B

Step-by-step explanation:

Here, we are to find the odds against drawing a purple or yellow marble.

Mathematically, the odds against drawing a particular marble color = 1 - the probability of drawing that particular marble color

probability of drawing a purple colored marble = number of purple colored marbles/total number of marbles

= 84/(84 + 42 + 21 + 14 + 7) = 84/168 = 1/2

So the odds against drawing a purple colored marble = 1 - 1/2 = 1/2

The odds against drawing a yellow marble color = 1 - probability of drawing a yellow colored marble

Probability of drawing a yellow colored marble = number of yellow marbles/total number of marbles = 14/168 = 1/12

So the probability of drawing a yellow colored marble or purple colored marble = 1/12 + 1/2 = 7/12

Now, the odds against drawing either of the two = 1 - the probability of drawing either of the 2 = 1 -7/12 = 5/12

or simply put 5 to 12

if L is parallel to M, find the value of each missing variable(s)

Answers

Answer:

5. x = 13

6. x = 11; y = 3

Step-by-step explanation:

5. (9x + 2)° = 119° (alternate interior angles are congruent)

[tex] 9x + 2 = 119 [/tex]

Subtract 2 from each side

[tex] 9x + 2 - 2 = 119 - 2 [/tex]

[tex] 9x = 117 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{117}{9} [/tex]

[tex] x = 13 [/tex]

6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)

[tex] 9x + 25 = 13x - 19 [/tex]

Collect like terms

[tex] 9x - 13x = - 25 - 19 [/tex]

[tex] -4x = -44 [/tex]

Divide both sides by -4

[tex] \frac{-4x}{-4} = \frac{-44}{-4} [/tex]

[tex] x = 11 [/tex]

(13x - 19)° + (17y + 5)° = 180° (linear pair)

[tex] 13x - 19 + 17y + 5 = 180 [/tex]

Plug in the value of x and solve for y

[tex] 13(11) - 19 + 17y + 5 = 180 [/tex]

[tex] 143 - 19 + 17y + 5 = 180 [/tex]

Collect like terms

[tex] 129 + 17y = 180 [/tex]

Subtract 129 from both sides

[tex] 129 + 17y - 129 = 180 - 129 [/tex]

[tex] 17y = 51 [/tex]

Divide both sides by 17

[tex] \frac{17y}{17} = \frac{51}{17} [/tex]

[tex] y = 3 [/tex]

When a number is divided by six the result is -2 the number is

Answers

Answer:

The number is -12

Step-by-step explanation:

let the number = x

x/6 = -2

x = -2 x 6

x = -12

the number is -12

Solve with Foil, and show work (4x+3) (5x-4)

Answers

Answer:

[tex]20x^{2} + 12x -28[/tex]

Step-by-step explanation:

(4x+3) (5x-4)

= [tex]20x^{2} -16+15x-12[/tex]

 (multiply 4x with (5x-4) and multiply 3 with (5x-4) )

= [tex]20x^{2} + 12x -28[/tex]

 (rearrange the numbers and subtract 12 from -16)

A mineral water bottle is 3/4 full and Denise drank 80% of the water. Find the percentage of water left in the bottle.

Answers

Answer:

nchhfhhhgfddnbnbbhtffghtnj5ydwkdyherv

Audrey's graduation picnic costs $3 for every attendee. At most how many attendees can
there be if Audrey budgets a total of $27 for her graduation picnic?

Answers

There can be 9 attendees

Answer:

9 is how many people can attend

Out of 100 students of a class, 30%use smart mobile phones. How many
students use the sm art phones?

Answers

Answer:

u can calculate yourself

Answer:

30

Step-by-step explanation:

This is the answer hope it helped

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