Mathematics, 29.06.2019 15:30 jeremiaht7

Which of the following are equations for the line shown below? check all that apply (-1,5) o a. y-2 = -0.75(x-3) b. y-5 = -0.75(x-1) c. y-3 = -0.75(x - 2) d. y-5-0.75(x+1)

Which of the following are equations for the line shown below? check all that apply (-1,5) o a. y-2

Answers: 2

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Answer from: marie1211

Hello!

The answer is:

The correct options are:

A) y-2=-0.75(x-3)

and

D) y-5=-0.75(x+1)

Why?

To find the correct answers, we need to find a equation that meet the following charactheristics:

From the graph we can se that the function:

- Has a negative slope (is decreasing)

- Pass throught the points: (-1,5) and (3,2)

Now, discarding from the given options, we have:

y-2=-0.75(x-3)

We have that the coefficient of the linear term is negative (-0.75), so, the slope is negative (the function is decreasing).

Evaluating the points, we have:

Evaluating (-1,5)

5-2=-0.75(-1-3)

3=-0.75(-4)

3=3

Evaluating (3,2):

2-2=-0.75(3-3)

0=-0.75(0)

0=0

We have that the equation is satisfied, so, the line pass through the given points.

Hence, we have that the equation A is an equation of the line shown.

y-5=-0.75(x-1)

We have that the coefficient of the linear term is negative (-0.75), so, the slope is negative (the function is decreasing).

Evaluating the points, we have:

Evaluating (-1,5)

5-5=-0.75(-1-1)

0=-3.5

Hence, we have that since the equation is not satisfied, the line shown is not passing through the point (-1,5) meaning that the equation is not an equation of the line shown.

So, we have that the equation B is not equation of the line shown.

y-3=-0.75(x-2)

We have that the coefficient of the linear term is negative (-0.75), so, the slope is negative (the function is decreasing).

Evaluating the points, we have:

Evaluating (-1,5)

5-3=-0.75(-1-2)

2=-0.75(-3)

2=2.25

Hence, we have that since the equation is not satisfied, the line shown is not passing through the point (-1,5) meaning that the equation is not an equation of the line shown.

So, we have that the equation B is not equation of the line shown.

(assuming you committed a mistake writing the options and the equality sign is missing)

y-5=-0.75(x+1)

We have that the coefficient of the linear term is negative (-0.75), so, the slope is negative (the function is decreasing).

Evaluating the points, we have:

Evaluating (-1,5)

5-5=-0.75(-1+1)

0=-0.75(0)

0=0

Evaluating (3,2)

2-5=-0.75(3+1)

-3=-0.75(4)

-3=-3

We have that the equation is satisfied, so, the line pass through the given points.

Hence, we have that the equation B is an equation of the line shown.

Finally, we have that the correct options are:

A) y-2=-0.75(x-3)

and

D) y-5=-0.75(x+1)

Have a nice day!

Answer from: Quest

they will manufacture 8496 cars

Answer from: Quest

answer: - (a) $a_n=16+6n$

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term= $a_1 =22$

second term= $a_2 =28$

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula : $a_n=a_1+(n-1)(d)$

$a_n=22+(n-1)6\\\rightarrow\ a_n=22+6n-6\\\rightarrow\ a_n=16+6n$

b) let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

$a_{12} = 16+6\times12\\\rightarrow\ a_{12}=16+72\\\rightarrow\ a_{12}=88\ seats$

∴there are 88 seats in 12 rows.

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Which of the following are equations for the line shown below? check all that apply (-1,5) o a. y-2...

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