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Lilit [14]
2 years ago
5

Help! |5 − x |− |x + 8| , if x > 5I just can't get it right.

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

Answer:

-13

Step-by-step explanation:

since x is positive, |x+8| becomes x+8. since x>5, 5-x is negative so |5-x| becomes x-5 (-(5-x)=-5+x=x-5). so now we have x-5-(x+8)=x-5-x-8=-5-8=-13

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Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
dedylja [7]

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)

m = \frac{1-2}{3+1} = - \frac{1}{4}, thus

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 2), then

2 = \frac{1}{4} + c ⇒ c = 2 - \frac{1}{4} = \frac{7}{4}

y = - \frac{1}{4} x + \frac{7}{4} ← in point- slope form

Multiply through by 4

4y = - x + 7 ( add x to both sides )

x + 4y = 7 → b

3 0
3 years ago
Read 2 more answers
Luke started a weight-loss program. The first week, he lost X pounds. the second week he lost 3/2 pounds less then 3/2 times the
irga5000 [103]

Luke started a weight-loss program.

The first week, he lost X pounds.

the second week he lost 3/2 pounds less then 3/2 times the pounds he lost the first week. so, he lost 3/2 x - 3/2

The third week, he lost 1 more pound than 3/4 of the pounds he lost the first week. so, he lost 3/4 x + 1

So, over 3 weeks he lost :

x + (3/2 x - 3/2) + (3/4 x + 1) = 13/4 x - 1/2

=========================================================

Liam started the program when Luke did.

The first week, he lost 1 pound less than 3/2 times the pounds luke lost the first week. so, he lost (3/2 x - 1)

The second week, he lost 4 pounds less than 5/2 times the pounds luke lost the first week. so ,he lost (5/2 x - 4)

The third week, he lost 1/2 more than 5/4 times the pounds luke lost the first week. so, he lost, ( 5/4 x + 1/2)

The expression for Liam's weight loss over the three weeks is =

= (3/2 x - 1) + (5/2 x - 4) + ( 5/4 x + 1/2) = 21/4 x - 9/2

=============================================================

Assuming they both lost the same number of pounds over the three weeks

So, equating the number of pounds lost by each one of them

so,

13/4 x - 1/2 = 21/4 x - 9/2

solve for x

13/4 x - 21/4 x = -9/2 + 1/2

-2x = -4

divide both sides by -2

so,

x = -4/-2 = 2

so,

The number of pounds luke lost in the fist week is 2 pounds

=============================================================

4. The number of pounds luke and liam each lost over the three weeks is

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7 0
1 year ago
Algebraic 3 more than 5 times a number
artcher [175]

Answer:

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Step-by-step explanation:

substitute x for the unknown number

8 0
3 years ago
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gladu [14]

Answer:

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Step-by-step explanation:

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According to the problem,

2x+3x=30

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The amount yellow paint is = (3×6)

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Please someone solve this.Its maths ​
Elanso [62]

Answer:

Step-by-step explanation:

3 0
1 year ago
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