Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3

Answers

Answer 1
Answer:  Choice B.  3 - 3x

Work Shown:

[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]

Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.

The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]


Related Questions

Find the slope and the y−intercept of the line in the graph.



The slope is .

The y−intercept is .

Can anyone help me?

Answers

Answer:

slope: 5intercept: 4

Step-by-step explanation:

It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...

  m = (y2 -y1)/(x2 -x1)

  m = (9 -4)/(1 -0) = 5

The slope is 5.

__

The y-intercept is the value of y when x=0. The point (0, 4) tells us ...

The y-intercept is 4.

The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is: ​

Answers

Step-by-step explanation:

2079 / 297 = 7

that is the first indication about what we need.

but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.

297 = 27×11

therefore,

2079 = 27×11×7

and the other number must now be

27×7 = 189

because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.

there are only 2 other factors available in 2079 : 11 and 7.

297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.

hence the solution.

the other number is 189

and the other number must then be 27×7 = 189

Pls someone help me!!

Answers

Answer:

116°

Step-by-step explanation:

Interior angles in a triangle are added up to 180°.

Therefore,

(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°

Now you can solve this equation and find the value of x.

[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]

[tex]14x+4+5x-1+2x+9=180[/tex]

[tex]14x+5x+2x+4-1+9=180[/tex]

[tex]21x+12=180[/tex]

[tex]21x=180-12[/tex]

[tex]21x=168[/tex]

[tex]\frac{21x}{21}= \frac{168}{21}[/tex]

[tex]x=8[/tex]

Now let's find the value of angle A

14x + 4

14 × 8 + 4

116°

I need help on 26 please and thank you

Answers

Answer:

your answer is 1.65 or E :)

what is the distance between 24 ft and 10 ft

Answers

Answer:

the distance is 14 feet. hope this helps

DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?

Answers

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

(6x + 4) - (3x - 2) simplify

Answers

Answer:

9x -2

Step-by-step explanation:

6x + 4 - 3x - 2

6x + 3x +4 - 2

9x -2

Answer:

3x + 4

Step-by-step explanation:

(6x + 4) - (3x - 2) simplify

(6x + 4) - (3x - 2)=

6x + 4 - 3x + 2

3x + 6

3/5 of 20.2%0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Answers

Answer:

what?

Step-by-step explanation:

PLS HELP PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

Can anyone help me please anyone please

Answers

Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°



Please help. Thank you!

Answers

Answer:  6.33 cups of flour

Step-by-step explanation:

The ratio of cups of cashews to cups of flour is 4:5.  We can set this as a ratio:  (4 cups cashews)/(5 cups flour).

If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio:  (5 cups fluor)/(4 cups cashews)

(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.

Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x

Answers

Answer:

Can you pls give a bit more information.

Step-by-step explanation:

Please help! urgent! A-E questions
no links!!!!!

A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines? ​

Answers

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

Determine the value Y, if X is -2
Y=X-12

Answers

10 because -2 minus 12 is 10

Find the measure of

Answers

Answer:

120° , 80° , 90°

Step-by-step explanation:

The sum of the inner angles of a triangle is one hundred and eighty degrees. and as the diagram shows, The AB is equal to AC so angle ABC is equal to angle ACB so Angle A is 180°-(30°×2)=120°

you can get the second follow the above steps

and the third one is 2x+x+x=180°

so 4x=180°

so x=45°

so 2x=90°

Q.17) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 30°and angle C = ?°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = x°

angle B = 30°

angle C = ?°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = 30°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛30° + x° + 30° = 180°

⇛60° + x° = 180°

⇛x° = 180°÷60 = 180°:60

⇛x° = 180°/60

⇛x° = 3°

Now,

⇛angle A = x = 3°

⇛angle B = 30°

⇛angle C = 30°

Answer: The value of x for the given problem is 3°

Q.18) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 50°and angle C = ?°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = x°

angle B = 50°

angle C = ?°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = 50°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛ x° + 50°+50° = 180°

⇛x° + 100 = 180°

⇛x° = 180°÷100° = 180°:100°

⇛x° = 180°/100

⇛x° = 18°

Now,

⇛angle A = x = 18°

⇛angle B = 50°

⇛angle C = 50°

Answer: The value of x for the given problem is 18°

Q.19) Given info:- In ∆ABC , AB = AC and angle A = 2x°, angle B = x°, angle C = x°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = 2x°

angle B = x°

angle C = x°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = x°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛x° + 2x° + x° = 180°

⇛2x° + 2x° = 180°

⇛4x° = 180°

⇛x° = 180°÷4 = 180°:4

⇛x° = 180°/4

⇛x° = 45°

Now,

⇛angle A = 2x = 2(45) = 90°

⇛angle B = 45°

⇛angle C = 45°

Answer: The value of x for the given problem is 45°

SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?

Answers

Answer:

52$

Step-by-step explanation:

13 (75% off) so 13 is 1/4 the price.

13x4 = 52

What is the value of x in (2/3)x=4/9?

Answers

Answer:

The value of x would be 2/3

Answer:

the answer for x is 2

Step-by-step explanation:

Help pls, due in 10 mins

Answers

Answer:

B. 39

Step-by-step explanation:

134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.

Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.

now we have the bottom right exterior angle, to find the interior 180-124=56.

Then we can set up the equation to find x:

56+46+2x=180

we have 180 because all triangles angle equal 180.

calculate the equation:

combine like terms, (2x)+(56+46)=180

2x+102=180

Subtract 102 from both sides,

180−102=78

2x=78

Divide both sides by 2.

78/2=39

x=39.


If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2

Answers

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)

Answers

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

find the percentage change of $20 to $25

Answers

Answer:

25%

Step-by-step explanation:

Percent change formula:

[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]

x_1 = initial value

x_2 = final value

[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]

1/4 = 0.25

25 PERCENT INCREASE

it cant be descrase

x =

82
262
98

when answering this can you explain how you got the answer so i can stop asking brainly.

Answers

Answer:

82

Step-by-step explanation:

in a quadrilateral the sum of opposite sides should be 180 degrees

The answer is 82

The angles opposite from each other are supplementary, meaning they equal 180 degrees

180 - 98 = 82

i need the solution to this problem pls!

Answers

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

r^2 - 8r - 22 = 6 solve for r

Answers

Answer:

-34

Step-by-step explanation:

r^2 - 8r - 22  ( R = 6)

6^2 =36   (8r = 8*6=48)

36 - 48 =  -12

-12 - 22 = -34

About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.

Answers

Answer:

200

Step-by-step explanation:

So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400

Evaluate -(2-6)(23).
O A. -8
O B. 33
O c. - 3
O D. 8

Answers

i think it’s definitely-3

-3 c

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Answers

What do I select? You didn't put anything here.

The 18% off on the regular price of $55.43 is $45.45 so (A) is correct and the 18% off on the regular price of $29.99 is $24.59 so (B) is correct rest is not true.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The 18% off of x ⇒ x - (18/100)x = 0.82x

Therefore, 18% off of $55.43 → 0.82 × 55.43 =  $45.45

18% off of $29.99 → 0.82 × 29.99 = $24.59

18% off of $215.33→ 0.82 ×215.33 =$172.26

18% off of 849.50 → 0.82 ×849.50 = $679.60

18% off of 652.30→ 0.82 ×652.30 =  $534.89

Hence "The 18% off on the regular price of $55.43 is $45.45 and the 18% off on the regular price of $29.99 is $24.59 rest are not true.

For more about the percentage,

brainly.com/question/13450942

#SPJ5

Given question is incomplete,complete question follows ;

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Multiple select questions.

A)

regular price: $55.43, sale price: $45.45

B)

regular price: $29.99, sale price: $24.59

C)

regular price: $215.33, sale price: $172.26

D)

regular price: $849.50, sale price: $679.60

E)

regular price: $652.30, sale price: $534.89

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).

Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.

Answers

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)

solve step by step and explain
factorize
6(2a+3b)² - 8(2a + 3b)​

Answers

Answer:

Step-by-step explanation:

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