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Set up the equation and find the length of BC.

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

The equation [tex]x^{3} - 3[/tex] has x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

We are given,

3 is subtracted from the cube of a number.

Let the number be x then we can write it as:

 [tex]x^{3}[/tex] - 3

We are to solve for x.

We can write the equation as:

[tex]x^{3}[/tex] - 3  = 0

x ( [tex]x^{2}[/tex]- 3 ) = 0

x = 0 and ( [tex]x^{2}[/tex] - 3 ) = 0

x = 0 and [tex]x^{2}[/tex] = 3

x = 0 and x = ±[tex]\sqrt{3}[/tex]

So we have,

x  = 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex]

Thus we have x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

Learn more about solving equations for x here:

https://brainly.com/question/2623597

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I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

Answer:

B, C, F

Step-by-step explanation:

The choices B, C, and F are right because if you do the Vertical line test, the vertical line only intersects one point in the graph. The function only has one output value for each input value.

Answer:

c

Step-by-step explanation:

Answer:35

120-85=35

120>85

Answer:

312.5

Step-by-step explanation:

25 x 2, for two weeks of work = 50

50 x 6.25 = 312.5

Answer:

She got paid $312.50 every two weeks,

Step-by-step explanation:

6.25 times 25 is 156.25. Multiple that by 2 and you get 312.50z

Answer:

Step-by-step explanation:

D is the midpoint of CE, then

CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9

So:   5x + 9 = 7x - 1

            -9          -9

        5x  =  7x - 8

        -7x      -7x

       -2x  =  -8

      ÷(-2)       ÷(-2)        

          x  =  4

AC = CE = 10x + 18 = 40 + 18 = 58

BC = 9x - 2 = 36 - 2= 34

AB = AC - BC = 58 - 34 = 24

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

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Answer:

2 is your answer np... ‍♂️

Answer:

grams

Step-by-step explanation:

Answer:

12/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

Answer:

h=12.5

Step-by-step explanation:

It’s a right triangle, so you can use the Pythagorean Theorem.  

9.2²+8.5²=h²

84.64+72.25=h²

156.89=h²

√156.89=h

h=12.5255

h=12.5

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

Answer:

use 5x for each question

Step-by-step explanation:

its says u should get 5x out of them

Answer:

One solution

Step-by-step explanation:

-4 + 6n = 7n

you will subtract (6n-6n) which will cancel each other out, than subtract (7n - 6n) which will be (1n)

So now you will have    -4 = 1n

Now you will divide ( -4/1) which is -4

You don't have to divide -4 with 1, because its the same way as multiplying it.

Now you will have -4 = n

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-10=3

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

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Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.

However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.

I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.  

Another way to write that is 1/2 = x/.5

If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.

Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.  

Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

        -12             -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x  -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

Answer:

6 yards net gain

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

take -2/3 and add it to 1/6

Answer:

multiply both sides by [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x - 8 = 12

first step

Add 8 to both sides

[tex]\frac{2}{3}[/tex] x = 20

second step

Multiply both sides by [tex]\frac{3}{2}[/tex] to clear the fraction

x = [tex]\frac{3}{2}[/tex] × 20 = 30

Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]

Step-by-step explanation: You will have

[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50

So you get [tex]n=-50[/tex]