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Alenkinab [10]
2 years ago
5

Graph the solution to this system of inequalities in the coordinate plane.

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
4 0

Answer:

Step-by-step explanation:

3y > 2x + 12

y>\frac{2}{3}x+4

This inequality will be represented by the a dotted line and solution area for the inequality will be shaded area (In red) above the dotted line.

2x + y ≤ -5

y ≤ -2x - 5

This inequality will be represented by a solid line and solution area will be the shaded area (in blue) below the solid line.

Therefore, common area of both will be the solution area for the system of inequalities.

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A bus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. T
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To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

 

For condition 1: bus travelling on a level road

v1 = d1 / t1

<span>(v2 + 20) = (449 – d2) / 4                        --->1</span>

 

For condition 2: bus travelling on a winding road

v2 = d2 / t2

<span>v2 = d2 / 5                                            --->2</span>

 

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

 

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

 

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

 

Therefore <span>the average speed on the level road is 61 mph.</span>

4 0
3 years ago
Write the expression as the sine, cosine, or tangent of an angle. cos 8x cos 2x - sin 8x sin 2x
igomit [66]
Sum and Difference Formula for Cosine: cos(α±β)= cosαcosβ <span>∓ sin</span>αsinβ
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c^{2}= a^{2}+ b^{2}-2ab(cos(x))
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36=12.25+30.25-(38.5cos(x))
36=42.5-38.5cos(x)
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-6.5=-38.5cos(x)
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6 0
3 years ago
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What is the answer and steps to this equation -3(3+x)+4(x-6)=-4
DENIUS [597]

Answer:

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