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3 years ago

What are the characteristics of the graph of the inequality x ≤ -8?

Mathematics

2 answers:

alukav5142 [94]3 years ago

7 0

It will used a closed circle

Mumz [18]3 years ago

6 0

2 Answers:

Choice C) It will use a closed circle

Choice D) The ray will move to the left

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Explanation:

The inequality $x \le -8$ means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was $x < -8$ to exclude the endpoint -8.

The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.

In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.

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45. For customers generating their own solar power, ZG&E charges them $3 per month per kilowatt (kWh) for excess electricity

uranmaximum [27]

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

$120kWh\times\frac{\$3}{1kWh}=\$360$

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

$\$20+(120kWh\times\frac{\$0.06}{1kWh})=\$27.2$

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

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$300kWh\times\frac{\$3}{1kWh}=\$900$

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4 0

1 year ago

Solve the world problem. the formula d = rt gives the distance traveled in time t at rate r. if a bicyclist rides for 2.3 hours

Marta_Voda [28]

Hello!

The answer to your question is D. 17.83 because 41 divided by 2.3 is equal to the answer and you are trying to solve for r.

4 0

3 years ago

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

Stolb23 [73]

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

1) Explanation of the model:

Given: h(t) = -16t² + 48t

This is a quadratic function, so the height is modeled by a patabola.

This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

2) Axis of symmetry:

The axis of symmetry of a parabola is the vertical line that passes through the vertex.

In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

Conclusion: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0

3 years ago

two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane i

vfiekz [6]

Plane a is faster

Have a good day!!!

3 0

3 years ago

Please help me with this ASAP.

Simora [160]

Answer:

Step-by-step explanation:

If you add the first equation up you get 2z+6 by combining like terms

if you see A a is equal to 3z+6 so a doesn’t work

If you look at B b is equal to z+12 so b doesn’t work

finally C if you distibute it out you get 2(z)+2(3) which equal 2z+6 which works

7 0

3 years ago