Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.

Answer:

  -13

Step-by-step explanation:

As per the order of operations, you do the parentheses first. g(5) is inside the parentheses of f(g(5)).

  g(5) = -3(5) +5 = -10

Then ...

  f(g(5)) = f(-10) = 2(-10) +7

  f(g(5)) = -13

Answer:

4/5=0.8

-1 1/2= -1.5

The greatest number is=1.3

Mia, Raj, Clara, Jacob

Answer:

4/5 is equal to 0.8

-11/2 is equal -1.5

The greatest number is 1.3

The students names Mia, Raj, Clara, Jacob

Step-by-step explanation:

I took the assignment. Hope this helps! :)

Answer:

a = -1 and

b = 10

Step-by-step explanation:

Given:

h(x) = (x – 1)³ + 10

h(x) = (g compose f)(x).

f(x) = x + a and

g(x) = x³ + b

To find:

The values of a and b = ?

Solution:

First of all, let us have a look at the composite functions.

(g compose f)(x) means we replace the value of [tex]x[/tex] with [tex]f(x)[/tex] in the function [tex]g(x)[/tex].

We know that:

[tex]g(x) =x^3+b[/tex] and

[tex]f(x) = x + a[/tex]

Let us find (g compose f)(x) by replacing [tex]x[/tex] with [tex]x+a[/tex]

[tex](g\ compose\ f)(x) = (x+a)^3+b[/tex]

Also, h(x) = (g compose f)(x) = (x – 1)³ + 10

Therefore,

[tex](x - 1)^3 + 10 = (x+a)^3+b[/tex]

Comparing the corresponding elements of the above expressions:

we get a = -1 and

b = 10

Answer:

a: -1

b: 10

edge 2020

Answer:

see below

Step-by-step explanation:

Can we simplify the number

-15/3 simplifies to -5, which is an integer

We categorize the number to its smallest category and integer contains less than rational

Answer:

x=-2,2

Step-by-step explanation:

Since this is a quadratic equation, -2 or 2 could be the possible answer

Steps

$3x^2=12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x^2}{3}=\frac{12}{3}$

$\mathrm{Simplify}$

$x^2=4$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

Show Steps

$\sqrt{4}=2$

Show Steps

$-\sqrt{4}=-2$

$x=2,\:x=-2$

Answer:

22

Step-by-step explanation:

Add every other number and it equals the next in line.

2 + 5 = 7

3 + 7 = 10

5 + 10 = 15

7 + 15 = 22

And as proof of concept:

10 + 22 = 32

Answer:

22! Mark the other answer brainleist!

Step-by-step explanation:

2+5 = 7

3+7 = 10

7 + 15 = ?

15 + ? = 32

? must be 22!

Answer:

y = 4

Step-by-step explanation:

Given that y varies jointly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 16 when x = 4 and z = [tex]\frac{1}{2}[/tex] , that is

16 = k × 4 × [tex]\frac{1}{2}[/tex] = 2k ( divide both sides by 2 )

8 = k

y = 8xz ← equation of variation

When x = 2 and z = [tex]\frac{1}{4}[/tex] , then

y = 8 × 2 × [tex]\frac{1}{4}[/tex] = 16 × [tex]\frac{1}{4}[/tex] = 4

Answer:

x= 24, <ABD = 55°

Step-by-step explanation:

The way I go to x=24 is in the picture, but to find <ABD is a piece of cake, just take its value (2x+7) and replace the x with 24 and then you will get 55°

Glad to help :)

Step-by-step explanation:

The derivative of sin x with respect to x is cos x.

d/dx (sin x) = cos x

Answer:cos x

Step-by-step explanation:

Answer:

4/q÷2/3.

4/q×3/2.

=6/q.

Answer:

4/q ÷ 2/3

This can also be said as

4/q × 3/2 = 0

=  12/2q = 0

= 12 = 2q

= q = 12/2 = 6

Answer:

[tex]Rate = \$0.23[/tex]   and    [tex]Rate = \$0.094[/tex]

Step-by-step explanation:

Given

Sew-on logos

Cost = $2.30

Units = 10

Stick-on logos

Cost = $9.40

Units = 100

Required

Divide cost by units, in both cases

When we divide cost by units, it gives the unit rate.

i.e.

[tex]Rate = \frac{Cost}{Units}[/tex]

FOR SEW-ON LOGOS

Substitute $2.30 for Cost and 10 for Units

[tex]Rate = \frac{\$2.30}{10}[/tex]

[tex]Rate = \$0.23[/tex]

FOR STICK-ON LOGOS

Substitute $9.40 for Cost and 100 for Units

[tex]Rate = \frac{\$9.40}{100}[/tex]

[tex]Rate = \$0.094[/tex]

Hence, the solution is

[tex]Rate = \$0.23[/tex]   and    [tex]Rate = \$0.094[/tex]

Answer:

Step-by-step explanation:

[tex]7+4y=39\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\7+4y-7=39-7\\\\\mathrm{Simplify}\\4y=32\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4y}{4}=\frac{32}{4}\\\\Simplify\\y =8[/tex]

Answer:

y = 8

Step-by-step explanation:

7 + 4y = 39

Rearrange:

4y + 7 = 39

Subtract 7 from both sides:

4y + 7 = 39

     - 7     -7

4y = 32

Divide both sides by 4:

4/4 = y

32/4 = 8

y = 8

Answer:150

Step-by-step explanation:

600/4=150  (150)3=450  450+150=600

Answer: 150 dollars

Step-by-step explanation: Because the dryer is equal to washer divided by 3 you can substitute Washer/3 in the equation

W+ W/3=600

multiply both sides by 3

3W+W=1800

4W=1800

Divide both sides by 4

The answer to W is 450 dollars which you then divide by three to get 150 dollars

Answer:

It probably has to deal with a joke or som10.

Step-by-step explanation:

Answer:

1. I

2. R

3. R

4. I

5. W

6. I

7. W

8. I

Step-by-step explanation:

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

Answer:

4,414,000,000

Step-by-step explanation:

4.414 x 10⁹

= 4.414 x 1,000,000,000

= 4,414,000,000

Answer:

15500 pounds

Step-by-step explanation:

The weight of one load is 4 tons and the weight of other load is 7500 pounds.

We know that, 1 ton = 2000 pounds

4 tons = 8000 pounds

Total weight = 8000 pounds + 7500 pounds

Total weight = 15500 pounds

So, the total weight of sand is 15500 pounds.

Answer:

5 yards

Step-by-step explanation:

The situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".

When researchers monitor the effect of a risk factor, diagnostic test, therapy, or other intervention without attempting to influence who is or is not exposed to it in observational studies.

For example: Consider someone standing on a popular street in a New York neighbourhood asking passers-by how many dogs they have, then analyzing the data to see if more pet food businesses are needed in the area.

As we know that in an observational study, the sample whose test/survey is been taken is completely random.

Therefore, the situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".

Learn more about Observational Study:

https://brainly.com/question/5001950

Answer: C

Step-by-step explanation: Collecting the blood pressure readings of a group of elderlyindividuals in a small town

Answer: answer is C

Step-by-step explanation:

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

Answer:

0

Step-by-step explanation:

43 rounded to nearest hundred is 0 because 43 is more closer to 0 than to 100.

Answer:

3000 square feet

Step-by-step explanation:

Divide 7,500 by 2.5:

7500/2.5

= 3000

So, 3000 square feet of grass seed can be spread per hour

Answer:  8

Step-by-step explanation:

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":

[tex]2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2[/tex]

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

b + c = 2 - 2

b + c = 0

b = -c

Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

  2³ + (-c)³ + c³

= 8 - c³ + c³

= 8

Step-by-step explanation:

start from f(g(x))

f(g(x))= 3(g(x)) -2

f(g(x))= 6x -2

h(f(g(x)))=(f(g(x)))² -5(f(g(x)))

h(f(g(x)))=(6x-2)² -5(6x-2)

h(f(g(x)))=36x²-24x+4-(30x-10)

h(f(g(x)))=36x²-24x+4-30x+10

h(f(g(x)))=36x²-54x+14

Answer:

She needs to get 8 bags of spoon and 1 bag of fork

Step-by-step explanation:

Here in this question, we want to know the least number of spoons and the least number of bags to be bought so that there are same number of each.

Basically, to calculate this, we need the lowest common multiple of 16 and 2. The lowest common multiple of both is 16 (2 is a factor of 16)

So the lowest number of each she can buy to have the same number of pieces is 16.

Kindly recall that spoons come in bags of 2. So to achieve the 16, she needs 8 bags.

Since fork comes in bag of 16, to achieve 16, she only need a single bag of fork.

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)  because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1/2 of the dots

Step-by-step explanation:

The number of dots in a 5 by 8 array is 5*8 = 40 dots

The number of dots in the t is 20

faction = part/ whole

20/40 = 1/2

its  1/2

8x5=40

40/20=1/2

Answer:

£7448

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is principle ( amount invested), R is rate of interest and T is time in years.

Here P = £5600, R = 11 and T = 3 , thus

I = [tex]\frac{5600(11)3)}{100}[/tex] = £1648

Value after 3 years = £5600 + £1848 = £7448

Answer:

1x+46 is the answer

Step-by-step explanation:

=4(-8x + 5) – (-33x – 26)

opening brackets to simplify

=-32x+20+33x+26

=-32x+33x+20+26

=1x+46 is the answer

hope it will help :)

Answer:

x+46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26) ​

The first step is to distribute and simplify.

4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.

-

The first part of the equation is -32x+20

Now, this is where it gets confusing.

If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.

So, the second part of the expression will be +33x+26

The whole expression is

-32x + 20 + 33x + 26

add like terms, -32x+33x= x.

20+26=46.

The answer is x+46.