Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set.y-2<-5 or y-2>5

Answers

Answer 1
Answer: y-2<-5 \n y-2+2<-5+2 \n y<-3 \n \n y-2>5 \n y-2+2>5+2 \n y>7

The solution set is { y | y < -3 or y > 7}

Graph is attached

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write the equation of the line, in slope- intercept form, that passes through (0,4) and has a slope of -1/2

Answers

y=-1/2x+4 since the slope is -1/2 and the y-int is 4.

What is the answer to this question
10+10x10

Answers

First use the rules. PEMDAS. The first thing is to multiply 10 * 10 = 100. Then next step is to add 10. = 110.
10 times 10=100 add 10=110
Hope this helped

Quick Help, Long Division
3x+2 ÷9x^2-9x-10

Answers

Hello,
Answer (3x+2)(3x+5)


On are recent 160 mile road trip ciara's car used 7 3/4 gallons of gas. how many gallons should she expect to use on a 250 mile road trip

Answers

Answer:

12.11 gallons

Step-by-step explanation:

Ciara's car used gas on 160 mile road trip = 7(3)/(4) gallons

                                                                      = (31)/(4) gallons

Ciara's car used gas on 1 mile road trip = ((31)/(4))/(160)

                                                                = (31)/(4)* (1)/(160)

                                                               = (31)/(640) gallons

                                                           

Ciara expect to use on a 250 mile road trip = (31)/(640)* 250

                                                                        = (775)/(64)

                                                                        = 12(7)/(64)

                                                                         ≈ 12.11 gallons

Ciara should expect to use 12(7)/(64)  or 12.11 gallons of gas.

Ciara should expect to usr 10 2/4 gallons of gas

Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37

Answers

If f(x) = - 2x² + 2x - 3, then f(5) will be
f(x)=- 2x^(2) + 2x - 3\n f(5)=- 2(5)^(2) + 2(5) - 3\n f(5)=- 2(25) + 10 - 3\n f(5)=-50 + 10 - 3\n f(5)=-43

Thus, your answer is C, -43.

You can just put that value 5 in place of x and then evaluate the output.

The value of f(5) for the given function is given by:

Option C: -43

How to evaluate functions on a given point?

Use the definition of function to evaluate the function on a given point. Most of the time, in general cases, the function will be algebraic and you just need to replace the input variables with the value of the point you want to evaluate the function on.

How to evaluate f(5)?

Since it is given that

f(x) = -2x^2 + 2x - 3

thus, replace x with 5 everywhere and evaluate the result as:

f(5) = -2 * (5)^2 + 2 * (5) - 3 = -2 * 25 + 10 - 3 = -50 + 7 = -(50 - 7) = -43\nf(5) = -43

Remember that 2x is 2 multiplied by x, and so as -2x^2 = -2 * x^2

And x^2 = x * x

We get,

The value of f(5) for the given function is given by:

Option C: -43

Learn more about evaluating a function here:

brainly.com/question/2753269

If the dimensions of a figure are doubled, then the area of the figure is___.

Answers

If the dimensions of a figure are doubled, then the area of the figure is quadrupled.

Answer:

Quadrupled

Step-by-step explanation:

Let us consider rectangle be a figure whose dimensions are a and b.

Then, the area of the rectangle will be:

A=a{*}b

A=ab square units

Now, If we double the dimensions of the rectangle that is 2a and 2b, then the area of the rectangle will become:

A=2a{*}2b

A=4ab square units

Therefore, if we double the dimensions of the rectangle, the area becomes quadrupled.

Thus, If the dimensions of a figure are doubled, then the area of the figure is Quadrupled.