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3 years ago

What value of x is in the solution set of –5x – 15 > 10 + 20x?

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

-5x - 15 > 10 + 20x / + 15
-5x > 25 + 20x / - 20x
-25x > 25 / ÷ ( -25 )
x < - 1

andriy [413]3 years ago

3 0

So isolate x on one side

-5x-15>10+20x
add 5x to both sides
-15>10+25x
subtract 10 from both sides
-25>25x
divid eboth sides by 25
-1>x
so anything smaller than -1 so exg -2,-2355,-45

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3 years ago

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andrew11 [14]

Answer:

Question 1: Answer would be A.

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Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

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Question 3 Explanation:

Question 4 Explanation:

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3 years ago

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and

Alika [10]

Answer:

3 spoons were sold last April

Step-by-step explanation:

Let x represent the total number of forks that they made last month.

Let y represent the total number of spoons that they made last month.

It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x

It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.

Total cost of making x forks and y spoons is 1.7x + 1.3y

Last April Molly's Custom Kitchen Supplies spent $37.90. This means that

1.7x + 1.3y = 37.90 - - - - - - - - - - 1

The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x

The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.

Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

5 0

3 years ago

To measure the distance across a pond, Sandy and Garrett mark a spot at on

DerKrebs [107]

Answer:

distance across the pond: 13 yd

distance walked by Garret: 12 yd

Step-by-step explanation:

Data:

distance across the pond: x yd

distance walked by Sandy: 5 yd

distance walked by Garret: x-1 yd

A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:

x² = 5² + (x-1)²

x² = 25 + x² - 2x + 1

0 = 26 - 2x

x = 13

4 0

3 years ago

Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?

Mekhanik [1.2K]

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

8 0

3 years ago