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3 years ago

Mr. Davis bought solar lights for a pathway at his house. The lights cost $29.95 each and have an

1 answer:

3 0

He pays $223.65.

This is because from the equation you know that he pays 29.95+2.00 for one light therefore, if we use x to represent the amount of lights--

X(29.95+2.00)

is an equation you can use to solve for the amount Mr. Davis payed for his lights.

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Can anyone help me with this.

Minchanka [31]

Answer:

a) third; from left most graph

b) fourth; right most graph

Step-by-step explanation:

Part a)

The graph is between the speed and time.

Nicole begin jogging faster and faster i.e. speed is increasing w.r.t time thus we have linear line in beginning.

Then she hits a comfortable speed and stayed at it i.e. speed remained constant for that time. Thus we have a straight line.

After that she gradually slows down,i.e speed is decreasing w.r.t time. Thus we have decreasing linear line.

So the graph shape is linear line with increasing slope-a constant straight line-linear line with decreasing slope

which is the third; from left most graph in option

Part b)

The graph is between Distance to campus and time.

As Dale is hiking towards campus, distance should decrease w.r.t time.

In beginning, he is hiking at constant speed towards campus thus the distance towards the campus is decreasing w.r.t time. We get a decreasing linear line.

*Note: here constant speed is not important, instead hiking towards i.e. the direction is important because of the campus distance covered

Then he sees a snake and turn and runs the other way. Thus now the distance towards the campus is increasing. And we get increasing linear line.

*Note running other way is important because of the campus distance covered

After that, he sits for a while i.e he stops and so the distance towards campus also become constant w.r.t time. we get a straight line on the graph.

So the graph shape is linear line with decreasing slope-linear line with increasing slope-a constant straight line

which is the right-most graph in option !

4 0

2 years ago

If there is 1/6 of a cake and mitchell only wants 3/12 of it, how much of the cake does he want?

Debora [2.8K]

Are there choices to choose from?

5 0

3 years ago

Read 2 more answers

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

Step 1: Solve using the first point

(2, 28)

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

Step 2: Solve using the second point

(-1, -5)

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

Step 3: Solve using the third point

(4, 220)

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

Step 4: Solve using the fourth point

(-2, -20)

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

Step 5: Combine the first and fourth equations

$28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

Step 6: Solve for c in the second equation

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

Step 7: Substitute d with the stuff we got in step 5

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

Step 8: Substitute d and c into the first equation

$28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

Step 9: Substitute a, b, and c into the third equation

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

Step 10: Find a using b = 2

$a = b + 1$

$a = (2) + 1$

$a = 3$

Step 11: Find c using a = 3 and b = 2

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

Step 12: Find d using b = 2

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

2 years ago

Read 2 more answers

What is the slope for 2x-1=-3y

dexar [7]

Answer:

The slope is -2/3

Step-by-step explanation:

It is recommended to solve for 'y' variable the equation given, this means, leave the 'y' variable alone in one side of the equation. Doing that, leaves us the following:

$y=\frac{-2}{3}x +\frac{1}{3}$

This is the general equation of a line: $y=mx+b$ where 'm' is the slope (by comparison), thus We have the desired result

5 0

3 years ago

Which answer best describes the shape of this distribution

Artist 52 [7]

Answer:

B.. skewed left

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers