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nexus9112 [7]
3 years ago
6

Which inequality describes the graph

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer: Choice B)  y \ge \frac{3}{4}x-3

The boundary is the equation y = (3/4)x-3 which goes through (0,-3) and (4,0)

This boundary is a solid line. Since it's a solid line, we will involve "or equal to" as part of the inequality sign.

The shading above the boundary line indicates we'll also have "greater than" as part of the inequality sign.

So overall, the inequality sign is "greater than or equal to". That leads to choice B.

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What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?
bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

5 0
2 years ago
9 is 25% of what number?
Black_prince [1.1K]

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

4 0
3 years ago
What is the scale factor of a pair of figures whose preimage has coordinates (-1, 1) (3,0) and (1, -4) and whose image has coord
ludmilkaskok [199]

Answer:

0.5

Step-by-step explanation:

6 0
3 years ago
A) converts into minutes 4 hours 30 minutes​
storchak [24]

Answer:

270 Minutes

Step-by-step explanation:

4hours = 240 Minutes

+30 minutes = 270 Minutes

4 0
3 years ago
Read 2 more answers
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