4.1 & 4.2 Review
1. Write an equation of the line with a slope of and a y-intercept of -8.

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

Answer:

[tex]Terms: 3\ and\ x + 2[/tex]

[tex]Product = 3x + 6[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

[tex]Product = 3 * (x + 2)[/tex]

[tex]Product = 3 * x + 3*2[/tex]

[tex]Product = 3x + 6[/tex]

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.

Hope this helps!

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

Answer:

1

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1

Answer:

look at graph

Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.

See the attached image for the actual graph.

Answer:

2 ( 3m -10) (3m+10)

Step-by-step explanation:

18m^2-200

Factor out 2

2 ( 9m^2 -100)

We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)

2 ( ( 3m)^2 - 10^2)

2 ( 3m -10) (3m+10)

Answer:

B

Step-by-step explanation:

Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6

Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11

Then you find the intersection so the answer is B

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Answer:

18

Step-by-step explanation:

The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).

Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.

18 = 2 * 9 = 2 * 3 * 3  ⇒  notice that while 9 isn't a prime number, 2 and 3 are

72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3  ⇒  again, 2 and 3 are primes

In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.

Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.

Answer:

Distance = 21.0049 inches

Step-by-step explanation:

Given the following data;

Speed = 3.395 inches per minute.

Time = 6.187 minutes

To find the distance;

Distance = speed * time

Substituting into the equation, we have;

Distance = 3.395 * 6.187

Distance = 21.0049

Answer:

5°

Step-by-step explanation:

4x+81=13x+36

answer is 5°

Answer:

Equation 2

Step-by-step explanation:

Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.

Answer:

what is the name of the amount that is not constant

Step-by-step explanation:

Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

=n+2-2n-1

=n-2n+2-1

=-n+1

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x -12\\\\x = \frac{-12}{-2}\\\\x = 6[/tex]

Answer:

y = -7x + 30

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

Area of a rectangle = Length × width

If the dimensions of the given rectangle is doubled,

Area of the new rectangle = 2(Length) × 2(width)

                                            = 4(Length × width)

                                            = 4(x)(x - 2)

                                            = 4[x² - 2x]

                                            = 4x² - 8x

Therefore, Option (4) will be the correct option.

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

dark blue is the answer