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3 years ago

Write the equation for a parabola with the focus at

2 answers:

5 0

The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

Flura [38]3 years ago

3 0

Answer:

Step-by-step explanation:

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Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?

e-lub [12.9K]

Answer:

Option B. y = 1.81x + 44.36

Step-by-step explanation:

The graph represents a scatter plot with a positive correlations and has a positive y-intercept.

By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50

We will check which option is true:

A. y = 4.25 x

The equation of option A represents a line pass through the point (0,0)

Which mean y-intercept is 0 and this is wrong.

B. y = 1.81x + 44.36

According to the best line to fit the data option B is true.

Also by substitution with x = 2

y = 1.81 * 2 +44.36 = 47.98

which is near to the actual point on the graph (50)

C. y = 1.81 x ⇒ Wrong ⇒ same explanation of option A

D. y = 4.25 x + 50 ⇒ Wrong

Because the y-intercept will be approximately at the midpoint of 45 and 50

<u>So, The answer is option B. y = 1.81x + 44.36</u>

5 0

2 years ago

The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.

ZanzabumX [31]

Answer:

D. 10,699

Step-by-step explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

$\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}$ The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.

7 0

3 years ago

Y varies inversely with x. if y =7 when x =-4, find x when y =5

Degger [83]

X=-2.857142857142857

6 0

3 years ago

Read 2 more answers

A train covers a distance of 80 miles in 2 hours. At this rate, about how many hours will it take to cover a distance of 200 mil

Vadim26 [7]

Let's write miles over hours
80 / 2 = 200/ x
cross multiply
80x = 400
divide both sides by 80
x = 5

It will take 5 hours to cover 200 miles

Hope this helps :)

6 0

3 years ago

The ratio of the number of boys to the number of girls in the math club is 4 to 3.

RoseWind [281]

Answer:

mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

8 0

3 years ago