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3 years ago

Rewrite the equation without absolute value, thanks!

Mathematics

1 answer:

34kurt3 years ago

4 0

Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)

Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2

Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).

So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.

y = x, if -2 < x < 3.

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A bag contains 3 red marbles, 4 blue, 9 yellow, and 5 green. What is the probability of getting a yellow or a green?

galina1969 [7]

Answer:

2/3

Step-by-step explanation:

To find the probability, you first have to add up the total number of marbles in the bag.

3+4+9+5=21

Next you find the probability of getting a yellow:

9/21

Then you find the probability of getting a green:

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9/21 + 5/21 = 14/21 = 2/3

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2 years ago

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Enter an equation of the form y = kx to show the relationshi

Eddi Din [679]

Answer:

y=1.125x

Step-by-step explanation:

9/8 is the ratio

so, I would do 9/8 which is 1.125. so, one euro is worth 1.125 dollar

y(dollars)=1.125x(euros)

TEST

27 dollars=1.125 • 24

done

8 0

2 years ago

What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-

svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

$2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\$

The Formula of Slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

by replacing the (2,0) and (0,-4) coordinates in the above formula:

$\to m= \frac{-4-0}{0-2}\\\\ \to m= \frac{-4}{-2}\\\\ \to m= \frac{4}{2}\\\\ \to m= 2\\\\$

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

$\to y=mx+c$

apply m and c value in the above equation:

$\to y=2x-4\\$

Subtract by 2x on both sides of the equation we get:

$\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\$

5 0

3 years ago

Read 2 more answers

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77julia77 [94]

7(12-4) or (12-4)*7 either is fine

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2 years ago

The greatest common factor of 15 and 45 is: 03 5 015 45

harkovskaia [24]

Answer:

Step-by-step explanation:

We can find the greatest common factor by listing the factors of the 2 numbers, that is

Factors of 15 are 1, 3, 5, 15

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The common factors are 1, 3, 5, 15

The greatest common factor is 15

4 0

3 years ago