please help me in this question​

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

Answer: A, D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B

Answer:

Bath towels = $32

Hand towels = $18

Step-by-step explanation:

Given:

5b - 2h = 124 (1)

3b - 4h = 24 (2)

Multiply (1) by 2 to eliminate h

10b - 4h = 228 (3)

3b - 4h = 24 (2)

Subtract (2) from (3)

10b - 3b = 248 - 24

7b = 224

b = 224 / 7

b = 32

Substitute b = 32 into (2)

3b - 4h = 24

3(32) - 4h = 24

96 - 4h = 24

-4h = 24 - 96

-4h = -72

h = -72 / -4

= 18

h = 18

Bath towels = $32

Hand towels = $18

Answer: 75.8

Step-by-step explanation:

Answer:

D. 14.99d

Step-by-step explanation:

d represents the number of DVD's she purchased, and 14.99 was the cost for each DVD. Answer D is multiplying the variable d and the coefficient 14.99. When multiplying variables, there is no need to place a multiplication sign.

Answer:

C. 14.99 divided by d

Step-by-step explanation:

the answer is c because you don't know how many DVDs he bought so by dividing the answer you can then know the price of each DVD they bought.

Answer:

Ask for a refund. Those fake buttox's aren't right for you,

Step-by-step explanation:

Answer:

You are Theodore from Alvin and the chipmunks, You can use them to store food

Step-by-step explanation:

ok

Answer:

A

Step-by-step explanation:

is the answer Aaaaaaaaa

The volume of the cube is 1 cubic foot.

Given that, each side of cube is 1 inch.

When dilation of the cubic inch by a factor of 12. Then each side of cube became 12 inches.

As we know that,

            [tex]12inch=1 foot[/tex]

So that, each side of cube become 1 foot.

   Volume of cube [tex]=(side)^{3}[/tex]

               [tex]Volume=1^{3}=1ft^{3}[/tex]

Learn more about the volume of cube here :

https://brainly.com/question/1972490

Answer:

its 1728

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of getting a 4 is 1/6, the probability of getting a tails is 1/2. Add the two together 8/12. I don't know if its right but hopefully it helped.

Answer:

I think the answer is 9/2

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Answer:

y=x+5

Step-by-step explanation:

y increases by 5 so in y=mx+b b=5 and x increases by 1 so still x thus the answer is y=x+5

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

Answer:

a

Step-by-step explanation:

180-50

Hey there!

Hope this helps!

x=130

Answer:

We conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

k = y/x

where k is called the constant of proportionality

Given the points

For (10, 80)

substituting y = 80 and x = 10 in the equation

k = y/x

k = 80/10 = 8

For (20, 160)

k = y/x

k = 160/20 = 8

For (50, 400)

k = y/x

k = 400/50 = 8

It is clear that the value of k is the same for all the points.

Thus, the value of k = 8

Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.

Answer:

circumference

Step-by-step explanation:

Answer:

1?

Step-by-step explanation:

it would have to make x=3 and y=1

Answer:

Answer is 4, sorry for taking so long, it just was a tinyyyyyy bit confusing! :D

Step-by-step explanation:

Answer: 1 by 60 units

4 by 15 units

10 by 6 units

Step-by-step explanation: Any two numbers that when multiplied together produce 60 will work.

8 times 8 is 64, and 60 times 2 is 120. So those will not work as dimensions for a rectangle with 60 square units.

Answer:

The answer is A,B,D

Step-by-step explanation:

Took the test on edge :)

Have a great day

Answer:

It's 5.

Step-by-step explanation:

substituting g = 5 into the equation,

12 = 3(5 - 1)

12 = 12

Answer:

22

Step-by-step explanation:

Since its a parallelogram, opposite sides are congruent. Therefore:

BC = AD

a - 1.5 = 20.5

  +1.5     +1.5

a = 22

Answer:

a=22

Step-by-step explanation:

a-1. 5 =20. 5 ( opposite side of parallelogram are equal )

or, a=20. 5+1. 5

or, a=22

you can do it from another side too.

2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )

or, 2a - a = 1. 2 + 20. 8

or, a = 22

Hope it will help you ☺✌

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Answer:

Length of real table: 72 in

Height of scale moble table: 6 cm.

Step-by-step explanation:

Multiply the 9 cm by 8 to get the scale to full size and divide the 48 by 8 to get the scale size.

Answer:

it should be C. i hope this helps