Ask question

Ask question

All categories

2 years ago

14

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

1 answer:

Vikentia [17]2 years ago

8 0

Answer:

Linear approximation is given by: $y = \frac{x}{5}+2$

Step-by-step explanation:

We are given the following information in the question:

Number of citations: 5 7.5 10 15 20

Outputs Residuals: 3 6 10 5 6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

$(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2$

The above equation is the required linear approximation.

You might be interested in

Please help me with this math problem

goldfiish [28.3K]

If you look at the graph you can tell the graph is increasing before x = -2.

From x = -2 to x = 0, it's decreasing.

Then it's increasing again from x = 0 to x = 2, then decreasing after x = 2

So answer is the last one
It is increasing before x = -2 and from x = 0 to x = 2

3 0

3 years ago

Graph g(x)=2+|x| and it’s parent functions

matrenka [14]

The parent function is ...

... f(x) = |x|

This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.

The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.

8 0

2 years ago

Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.

sashaice [31]

Answer:

1.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Translate the product of a number and 4 increased by 1 is -3 into a equation

laiz [17]

4x + 1 = -3

"The product" is the term used to describe the answer of a multiplication equation.
"increased by" means you're adding.
"a number" refers to a variable.

7 0

2 years ago

HELP PLEASEEE. I DONT UNDERSTAND

Shtirlitz [24]

Answer:

D

Step-by-step explanation:

So we have the equation:

$x^2-6x+58=0$

And we want to solve for x.

We can solve it by completing the square.

First, subtract 58 from both sides:

$x^2-6x=-58$

Divide the b term by 2 and square it:

$(-6)/2=-3\\(-3)^2=9$

So, add 9 to both sides:

$(x^2-6x+9)=-58+9$

On the left, the perfect square trinomial pattern. Add on the right. So:

$(x-3)^2=-49$

Take the square root of both sides:

$x-3=\pm \sqrt{-49}$

The square root of -49 is 7i:

$x-3=\pm 7i$

Add 3 to both sides:

$x=3\pm 7i$

So, our answer is D.

And we're done!

4 0

2 years ago