What is the domain of this function?

Answer:

1. y = -4

2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)

3. y = 24

4. c = -13.5

Step-by-step explanation:

30+7y=-2y-6

You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)

So, first, get the y's on the same side.

30+7y = -2y-6

Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.

30+(7y+2y)= -6

30+9y=-6

Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.

9y= (-6 - 30)

Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.

Keep the -6.

Switch the - to a +

And switch the positive thirty to a negative 30.

9y= -6 + (-30)

9y = -36

You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.

y= -36 ÷ 9

y= -4

__________________________

4(3y+4.1)=7.6

Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).

4(3y+4.1):

4 x 3y = 12y

4 x 4.1 = 16.4

12y+16.4 = 7.6

Subtract 16.4 from both sides

12y = -8.8

Divide both sides by 12 to get the y by itself

y= -0.73 (repeating)

__________________________

3(y+1) = 4y-21

This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.

3 x y = 3y

3 x 1 = 3

Rewrite the equation

3y+3 = 4y-21

Now this problem is similar to the very first problem

You need y by itself. So subtract 3y from both sides

3=(4y-3y)-21

3= 1y-21

Add 21 to both sides to get y by itself

24=1y

y=24

__________________________

3(2c+5) = 4(c-3)

This is just like the last two problems, you must use the distributive property.

3 x 2c = 6c

3 x 5 = 15

Rewrite equation.

6c+15 = 4(c-3)

Now you have to use the distrubtive property for 4(c-3)

4 x c = 4c

4 x (-3) = -12

Rewrite

6c + 15 = 4c - 12

Subtract both sides by 4c

(6c-4c) + 15 = -12

2c + 15 = -12

Subtract by 15 from both sides.

2c = -27

Divide both sides by 2, in order to get c by itself

c = -27 ÷ 2

c = -13.5

Answer:

2x2 = 4 + 2 = 6.

Step-by-step explanation:

Answer:

1. f(n+1) = f(n) + 0.09

2. The correct answer is 403 = x. The student’s error is that she did not cancel out properly the constant by the inverse add ended to find the answer of the variable.

3. B

4. D 34 + 6(25.3)

Answer:

Step-by-step explanation:

16 = - 4y - 12

Bringing like terms on one side

16 + 12 = - 4y

28 = - 4y

28/-4 = y

-7 = y

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

5 is the y intercept.

-Always the number without the variable.

Answer:

8/3=48/x

Step-by-step explanation:

times both sides by 3 8=144/x

times x by both sides 8x=144

x=18

there are 18 techers

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Answer:

she should preform division

Step-by-step explanation:

Answer:

Actually, it's C multiplication Cutty you can't be giving Wrong answers.

Step-by-step explanation:

It's C Multiplication because Were using the PEMDAS technique and this stands for

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

So if you see in the Pemdas technique It will be C Multiplication.

Answer:

Noah

Step-by-step explanation:

4/6 = 32/48

5/8 = 30/48

It is simple I did this a while back and got an A

Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

Answer:

4x8=32

Step-by-step explanation:

Answer:

4n-n

Step-by-step explanation:

Answer:

the graph is of a cubic function.

Step-by-step explanation:

f(x)= x^3. It should have at least one zero

The graph shows cubic polynomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Given:

In the graph the number of times the graph touches the x- axis it will have that many zeroes or solution for the polynomial.

The given graph touches the x-axis three times which shows the polynomial will have three solution and the degree of the polynomial is 3.

Hence, the graph shows cubic polynomial.

Learn more about cubic polynomial here:

https://brainly.com/question/28081769

#SPJ2

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

Answer:

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water

Answer:

Step-by-step explanation: 92 gallons bc if u calc the rate on 3 gallons per minute, times 4 which gives 12, add that to the 80 gallons alr filled then boom. 92.

Answer:

Step-by-step explanation:

Given Katiyln and lewis share sweets in the ratio =7:1

katliyn gets= 21 sweets

share of katiyln sweet =7x

share of Lewis sweet =X

So 7x=21 given

X=21/7

X=3

So Lewis gets x =3 sweets.

Answer:

6) A. 5x+5

7) D. 0

8) A. 5x+5

9) I'm not sure sorry

Step-by-step explanation:

Answer:

50/2.80= 17

17 dounuts

Answer:

WAT! What diagram???

Step-by-step explanation:

Answer: No, because the center pod is where the medians meet

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

Answer:

What are we supposed to simplify? 8/81?

Step-by-step explanation:

Answer:

y= 2/5-1

Step-by-step explanation:

You get the 2/5 because you go 2 to the right and go 5 up, the -1 is because the x-int is at -1.

Answer:

k = 3 + 6x

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

27 × [tex]9^{3x}[/tex]

= 3³ × [tex](3^{2}) ^{3x}[/tex]

= 3³ × [tex]3^{6x}[/tex]

= [tex]3^{3+6x}[/tex]

= [tex]3^{k}[/tex] → with k = 3 + 6x

Answer:

what are the questions hurry and tell me

Answer:

-160

Step-by-step explanation:

you can plug this into a calculator for a quick answer :)

Answer:

Question 8: w=7200

Step-by-step explanation:

2400/2=1200 is c is 1 so 1200x6=7200

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I