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3 years ago

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.?

1 answer:

4 0

Add like terms and put x in the middle.
-3 < -2x + x - 3x ≤ 5 - 2
-3 < - 4x ≤ 3
Sign changed when divide by negative numbers
(3/4) > x ≥ (-3/4)

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Find the measurement of angle m.

Musya8 [376]

Answer:

m = 35°

Step-by-step explanation:

Supplementary angles, sum = 180°

m + 145° = 180°

m = 180° -145°

m = 35°

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2 years ago

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

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

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

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

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2 years ago

Write a story that matches the expression <br><br> 42x - 5

nadezda [96]

I bake 45 cupcakes everyday and every hour I sell 5 cupcakes.

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3 years ago

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In a rectangle, one side is twice as long as another side. The perimeter of this rectangle is how many times as long as his shor

Ede4ka [16]

Answer: 6 times

Step-by-step explanation:

Let the Length of the rectangle be L and the Width be W

Also , let us pick the Length as the longest side , then from the statement

L = 2W

The perimeter of a rectangle is given as :

P = 2 ( L + W )

substitute L = 2W into the formula , we have

P = 2 ( 2W + W )

P = 2 (3W)

P = 6W

Therefore the Perimeter is 6 times as long as the Width

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2 years ago

Michael is making windmills for a class project. The colors he has to choose

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Answer:

f,, G, H, or J

Step-by-step explanation:

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2 years ago

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