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3 years ago

Solve the absolute value inequality.

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

Answer: k ≤ -4 or k ≥ $\frac{4}{3}$

Explanation:

| 3k + 4 | ≥ 8

3k + 4 ≥ 8 or 3k + 4 ≤ -8

-4 -4 -4 -4

3k ≥ 4 or 3k ≤ -12

÷3 ÷3 ÷3 ÷3

k ≥ $\frac{4}{3}$ or k ≤ -4

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find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y = 18 and select the appropriate option below.

Vladimir79 [104]

Answer:

Step-by-step explanation:

3x - 2y = 18

x -int

3x - 2(0) = 18

3x = 18

x = 6

(6,0)

3(0) - 2y = 18

-2y = 18

y = -9

(0, -9)

8 0

3 years ago

If mn, solve for x. (3x + 9) (x + 21)

Sloan [31]

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms 

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3 years ago

Compare the line passing through the points (–2, –9) and (4, 6) to the line given by the equation y = 25x – 4.

elena-s [515]

Answer:

D. They have the same y-intercep

Step-by-step explanation:

Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .

(–2, –9) and (4, 6)

Gradient= (6--9)/(4--2)

Gradient= (6+9)/(4+2)

Gradient= 15/6

Gradient= 5/2

Choosing (–2, –9)

The equation of the line

(Y+9)= 5/2(x+2)

2(y+9)= 5(x+2)

2y +18 = 5x +10

2y =5x -8

Y= 5/2x -4

Choosing (4, 6)

The equation of line

(Y-6)= 5/2(x-4)

2(y-6) = 5(x-4)

2y -12 = 5x -20

2y = 5x-8

Y= 5/2x -4

From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept

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3 years ago

A car has a windshield wiper on the driver's side that has total arm length of 10 inches. It rotates

son4ous [18]

Answer:

75.44 Square Inches

Step-by-step explanation:

The diagram of the problem is produced and attached.

To determine the area of the cleaned sector:

Let the radius of the larger sector be R

Let the radius of the smaller sector be r

Area of the larger sector $=\frac{\theta}{360}X\pi R^2$

Area of the smaller sector $=\frac{\theta}{360}X\pi r^2$

Area of shaded part =Area of the larger sector-Area of the smaller sector

$=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)$

From the diagram, R=10 Inch, r=10-7=3 Inch, $\theta=95^\circ$

Therefore, Area of the sector cleaned

$=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches$

7 0

3 years ago

Which one is it I need to know quick and I’ll mark you Brainly

QveST [7]

Answer: i think

the corrcect answer is 0.5*10^-1

Step-by-step explanation:

hope this helps

5 0

3 years ago