PLEASE HELP! I’ll DO BRAINLIEST!!!!! Plss
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 , find (fg)(x)

A) 4x^2-6x-8
B) 3x^3+x^2-6x-6
C) 3x^2-17
D) 3x^3+x^2-18x-6

Answers

Answer 1

9514 1404 393

Answer:

  D)  3x^3 +x^2 -18x -6

Step-by-step explanation:

The distributive property applies.

  (f·g)(x) = f(x)·g(x) = (3x +1)(x^2 -6) = 3x(x^2 -6) +1(x^2 -6)

  (f·g)(x) = 3x^3 -18x +x^2 -6 . . . . . eliminate parentheses

  (f·g)(x) = 3x^3 +x^2 -18x -6 . . . . put in standard form


Related Questions

Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8

Answers

Answer:

C

Step-by-step explanation:

4xy=4y

since each friend must get at least a cupcake, 4y must be larger than 8

Share $2400 for three friends so that one friend gets twice as much as the smallest share and the other friend gets three times as much as the smallest share.

Answers

Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.

Answers

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

Keeping the place of the digit 6 in the number 6350947 same, the smallest number obtained by
rearranging other digits is

Answers

The smallest number is 6034579.

Answer:

6034579 hope this helps!!

explanation:

We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.

The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning

Answers

Answer:20 hours


Half of $2500 is $1500 and if you work 40 hours and get $2500 when you work 20 hours you get $1500.

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D

Answers

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

help meeeeeeeeeee!!!

Answers

Answer: 2.9166666666633333333333333333333

Step-by-step explanation:

Answer:

35/12

Step-by-step explanation:

Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{15}{8}
8
15

start fraction, 15, divided by, 8, end fraction

(Choice B)
B
\dfrac{8}{17}
17
8

start fraction, 8, divided by, 17, end fraction

(Choice C)
C
\dfrac{8}{15}
15
8

start fraction, 8, divided by, 15, end fraction

(Choice D)
D
\dfrac{15}{17}
17
15

start fraction, 15, divided by, 17, end fraction

Answers

Answer:

Its 15/17

Step-by-step explanation:

I did it on Khan

Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.

How to Apply the Sine Ratio?

Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.

Given the following:

Opposite side = 15Hypotenuse = 17

Applying the sine ratio, we have:

sin β = 15/17

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ6

A club raised 175% of it goal for a charity. The club raised $763.
use proportion please

Answers

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

The length of a rectangle is three times its width.
The perimeter of the rectangle is 96 cm.
Label the diagram with the correct length and width for the rectangle

cm
cm

Answers

96 divided by 4 is 24
3times 24 is72
And 72 is 3 times 24
And 72plus 24 is 96
So your answer is length 72
Wide24

The difference of two trinomials is x square - 10x+2. If one of the trinomials is 3x squared -11x-4, then which expression could be the other trinomial?

Answers

Answer:

4x²+21x-2

  (OR)

2x²-x-6

Step-by-step explanation:

According to the Question,

Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.

Let, Two Trinomials are P(x) = A  &  Q(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

A - (3x²-11x-4) = x²-10x+2

A = x²-10x+2 + (3x²-11x-4)

A = x²-10x+2 + 3x²-11x-4

A = 4x²+21x-2

(OR)

If we Let, Two Trinomials are Q(x) = A  &  P(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

(3x²-11x-4) - A = x²-10x+2

A = 3x²-11x-4 - (x²-10x+2)

A = 3x²-11x-4 - x²+10x-2

A = 2x²-x-6

which graph shows the line y = -3x + 1​

Answers

Line B

Explanation:

The slope is negative so the line is going to the left. The y-intersect is 1.
The answer to the question is B

What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)

Answers

Answer:

I believe the Answer is B

Answer:

B. evaporation

Step-by-step explanation:

A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?

a rectangle with one side against a vertical line

solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone

Answers

Answer:

Preetyy sure its D

Step-by-step explanation:

Its not a hollow cylinder

The resulting object will be a solid cylinder. Then the correct option is A.

What is a solid revolution?

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.

Then the resulting object will be

If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.

The diagram is shown below.

Learn more about solid of revolution here:

https://brainly.com/question/338504

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round to the nearest ten i dont get it

Answers

Answer:

130

Step-by-step explanation:

instead of 132 round to the nearest 10 so its 130

Answer:

130

Step-by-step explanation:


Find the area of the square ABCD.

Answers

Answer:

A =196 m^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 14^2

A =196 m^2

I've been learning this but I don't remember how to find x?

Answers

Answer:56 degrees

Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.

Answer:

the answer is x = 56 degrees

and your not finding the side lengths

Step-by-step explanation:

there is 2 62 degrees,

meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either

so x = 56

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)

Answers

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

Brainliest, 35 points

Answers

Answer:

13 1/2

Step-by-step explanation:

9 ÷ 2/3

Copy dot flip

9 * 3/2

27/2

Change from an improper fraction to a mixed number

2 goes into 27 13 times with 1 left over

13 1/2

Which is a better estimate for the length of an almond?

a. 3 meters b. 3 centimeters

Answers

Answer:

3 centimeters

Step-by-step explanation:

nope

Answer:

[tex]B[/tex]

Step-by-step explanation:

help please need to get this in today will mark brainlist

Answers

Answer:

acute

Step-by-step explanation:

it is acute because it is less than 90 degrees

What is the reference angle for 5pi over 3?
a. pi over 6
b. pi over 3
c. 2pi over 3

Answers

Answer:

b. pi over 3 ig~~~~~~~~~~~~~~~

Answer:

(b) pi over 3 is correct

Step-by-step explanation:

EDGE 2022

algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this

Answers

Answer:

[tex]z = 6[/tex]

Step-by-step explanation:

Let's solve:

[tex]5(z+1)=3(z+2)+11[/tex]

Step 1: Simplify both sides of the equation.

[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\

5z+5=3z+6+11 \\

5z+5=(3z)+(6+11)(Combine Like Terms) \\

5z+5=3z+17 \\

5z+5=3z+17[/tex]

Step 2: Subtract 3z from both sides.

[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]

Step 3: Subtract 5 from both sides.

[tex]2z+5−5=17−5 \\ 2z=12[/tex]

Step 4: Divide both sides by 2.

[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]

Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have coroblind

Answers

Answer:

[tex]P(X \geq 8)=22*10^{-4}[/tex]

Step-by-step explanation:

From The Question we are told that

Prob that population is colourblind [tex]P(C)=0.10[/tex]

Sample size [tex]N=25[/tex]

Generally the equation for Number of color blinds is mathematically given by

  [tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]

  [tex]P(X \geq 8)=22*10^{-4}[/tex]

£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years?

Answers

Answer:

£11.25

Step-by-step explanation:

The formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time

Principal = Amount deposited in the bank = £100

Interest rate = 2.25%

Time in years = 5 years

Hence,

Simple Interest = £100 × 2.25% × 5

= £11.25

Therefore, the interest that will have been paid after 5 years is £11.25

What is the range of the given function?

Answers

Answer:

you have it on the correct answer

Step-by-step explanation:

range is the y values, and its the lowest negetive to the highest positive

Do anyone know this question?

Answers

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

Footlocker was selling Jordans. They bought the Jordan from Nike for $35. They bought 200 pairs of shoes. They sold the Jordans in their stores to the customers for $180. They sold out on the first day. How much did they make/Collect? What was their total expenses? What was their profit?

Answers

Answer:

I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones

please help me solve

please show how you got the answer

Answers

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

find the slope of the line perpendicular to given line

Answers

Answer:

perpendicular slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

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