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2 years ago

Simplify 2(x – 4) + 32: Simplify 9x + 4(x + 2) – 5:

Mathematics

1 answer:

Reika [66]2 years ago

6 0

Answer:

Step-by-step explanation:

2(x – 4) + 32

Multiply it out.

2 * x - 2 * 4 + 32

2x - 8 + 32

2x + 24

9x + 4(x + 2) – 5

Multiply it out

9x + 4 * x + 4 * 2 - 5

9x + 4x + 8 - 5

13x + 3

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

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

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

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

Whats the answer for 6b+7-2b=1+5b

Alecsey [184]

$Solution,6b+7-2b=1+5b\quad :\quad b=6$

$Steps:$

$6b+7-2b=1+5b$

$\mathrm{Group\:like\:terms}, 6b-2b+7=1+5b$

$\mathrm{Add\:similar\:elements:}\:6b-2b=4b, 4b+7=1+5b$

$\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}, 4b+7-7=1+5b-7$

$\mathrm{Simplify}, 4b=5b-6$

$\mathrm{Subtract\:}5b\mathrm{\:from\:both\:sides}, 4b-5b=5b-6-5b$

$\mathrm{Simplify}, -b=-6$

$\mathrm{Divide\:both\:sides\:by\:}-1, \frac{-b}{-1}=\frac{-6}{-1}$

$\mathrm{Simplify}, b=6$

$\mathrm{The\:Correct\:Answer\:is\:b=6}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

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2 years ago

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What are the real roots of the equation

maxonik [38]

<h2>what is the equation so i could answer it </h2>

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2 years ago

a parallelogram has vertices E(-3,1) F(0,2) G(-5,5) and H(-2,6) what are the coordinates of te midpoint of each diagonal

sesenic [268]

in parallelogram EFGH

the mid point of diagonal EG is

(-3-5)/2,(1+5)/2=(-4,3)

similarly the midpoint of diagonal FH is

(0-2)/2,(2+6)/2=(-1,4)

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3 years ago

Can someone pls help me with this ASAP!!!

VikaD [51]

Answer: D

The reason I say d is because the positive 3 is where the 9 is at on the y-axis

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2 years ago