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photoshop1234 [79]
2 years ago
7

Simplify to create an equivalent expression. −r+8(−5r−2)

Mathematics
1 answer:
sweet [91]2 years ago
7 0

Hello there! :)

<u><em>Answer:</em></u>

<u><em>-41r-16</em></u>

<u><em>*The answer must have a negative sign.*</em></u>

Step-by-step explanation:

Using Properties to Simplify Expressions

Distributive property: a(b+c)=ab+ac

First, expand equation.

8(-5r-2)=8*5=40=-40r-16

-r-40r-16

Then add by similar to elements.

-r-40r=-41r

Answer: =-41r-16

Hope this helps!

-Charlie

Thanks!

:)

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3(x+y)=y

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*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

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Question:<br><br>|x-2|, if x &gt; 5<br> simplify without the absolute value sign
nikitadnepr [17]

Answer:

x - 2, if x > 5

Step-by-step explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its <u>positive numerical value</u>.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive.  Therefore, we can disregard the absolute value.

Therefore:  

x - 2,  if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

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2 years ago
Please help me out with this please
Natali [406]

Answer:

Step-by-step explanation:

We have 2 equations represented by the lines on the graph

5x + 4y = 20

2x - 6y = 12

To plot the first equation on the graph, we a assume different points

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y = (20-5x)/4

y = 5 - 5x/4

If x =0, y = 5

If x = 2, y = 2.5

If x = 4, y = 0,

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The first line that cuts the positive y axis is represented by the equation,

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Since the left region of the line representing equation is shaded, the unshaded side represents

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To plot the second equation on the graph, we a assume different points

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These points corresponds to the second line that cuts the negative y axis.

The second line that cuts the negative y axis is represented by the equation,

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8 0
3 years ago
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