What is the domain of f(x) + g(x)

Answer:

1. -6a

2. -8a

3. -5a

4. -a

5. -3a

6. -6a -8c -4

Step-by-step explanation:

All you need to do is combine like terms

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Answer:

First one.

Step-by-step explanation:

4+(-8) -10+22 =12

24+(-12) 0+ (-12) =-24

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The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The expressions are shown in the picture.

After solving using Arithmetic operation:

Take the expression:

= 24 - 12

= 12

-10 + 22

= 12

Thus, options (b) and (c) are correct.

Learn more about the arithmetic operations here:

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Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

Answer:

Solve for x or y,  Ax + By = 0

x=1  y=unknown number.

Step-by-step explanation:

answer : 31/40 = 93/120

5/6 = 100/120

Answer:

Step-by-step explanation:

Given

If

Then

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

Correct choice is A

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

Answer:

B. (-3.5, 1.25)

Answer:

The mean is 41

Step-by-step explanation:

Here , we are interested in finding the mean.

Firstly, let the standard deviation be x and the mean be y.

We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.

Mathematically;

51 - 2(x) = y

y + 2x = 51 •••••••••(i)

We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36

Mathematically, that would be;

y-36 = x •••••••(ii)

Substitute ii into i directly;

We have

y + 2(y-36) = 51

y + 2y -72 = 51

3y -72 = 51

3y = 51 + 72

3y = 123

y = 123/3

y = 41

Answer:

b

Step-by-step explanation:

Answer:

y=-1

x=2

Step-by-step explanation:

5x-4y=14 multiply by 4

4x+7y=1 multiply by 5

20x-16y=56

20x+35y=5 eliminate by subtracting

-51y=51

y=-1

plug back in to get x

4x+7(-1)=1

x= 2

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Answer:

n = 5/7 or 0.7

Step-by-step explanation:

The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.

1/2(5n + 8) = 3/4(12 - 6n)

2.5n + 4 = 9 - 4.5n

2.5n + 4.5n = 9 - 4

7n = 5

Divide both sides by 7, and you get n = 5/7 or 0.7

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: [tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]

Now we know the slope is [tex]-\frac{5}{7}[/tex].

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = [tex]\sqrt{36+64}[/tex]

      = [tex]\sqrt{100}[/tex]

      = 10

Therefore, measure of side AD = 10 units

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

Answer:

1.11111111 is rational

1.567 is a rational number.

Step-by-step explanation:

1.11111111 is rational

1.567 is a rational number.

1.101101110 is irrational

so its choice 1 and 2

Answer:

-6/7

Step-by-step explanation:

since both fractions have a common denominator (bottom part of fraction) you would end up subtracting 4-10 which would give you a -6. the denominator stays 7 so you end up with -6/7

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

[tex]y=kx[/tex]

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

[tex]1=k(2.2)[/tex]

Isolate the variable k:

[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]

Set up another equation like so:

[tex]\frac{y}{x}=\frac{y}{x}[/tex]

Insert values:

[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]

Solve for y. Cross multiply:

[tex]1(112)=2.2y\\\\112=2.2y[/tex]

Isolate the variable. Divide both sides by 2.2:

[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]

So, there are about 50.9 kilograms in 112 pounds.

:Done

Answer:

x = 4 ; x = 8

Step-by-step explanation:

[tex]x^2 + 32 = 12x[/tex]

bring all the terms to one side and set equal to 0

[tex]x^2 - 12x + 32 = 0[/tex]

factor the polynomial

[tex](x-8)(x-4) = 0[/tex]

set each factor equal to zero and solve

[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]

[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]