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xenn [34]
2 years ago
7

Construct a linear equation for the linear data presented in the table

Mathematics
2 answers:
alina1380 [7]2 years ago
8 0
  • (-2,14)
  • (0,0)

Slope

  • m=y/x
  • m=14/-2
  • m=-7

Equation of line

  • y=mx+0
  • y=-7x
yaroslaw [1]2 years ago
5 0

Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

\rightarrow \sf slope\ (m):   \dfrac{21-28}{-3-(-4)}  = -7

Now find equation:

\sf y - y_1 = m (x - x_1)

\rightarrow \sf y - 21 = -7(x - (-3))

\rightarrow \sf y  = -7(x +3) + 21

\rightarrow \sf y  = -7x -21 + 21

\rightarrow \sf y  = -7x

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8 0
3 years ago
a movie theater has 24 screens. the ratio of action films to other films is 1:2 in the summer. how many action films are shown?
stiv31 [10]
12 action films are shown.
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3 years ago
Which term fits best?
Fudgin [204]

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Slope

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8 0
3 years ago
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6 0
2 years ago
Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up
Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

a. Ms. Lane will repay the bank fewer dollars than she initially borrowed.

b. Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

c. Ms. Lane's repayment will give the bank greater purchasing power than it originally loaned her.

d. Ms. Lane's repayment will give the bank the same purchasing power that it originally loaned her.'  

Solution :

We have,

The borrowed amount, P = $ 1,000,

Interest rate, r = 10% = 0.1,

Time, t = 1 year,

Thus, the returned amount,

A=P(1+r)^t=1000(1+0.1)^1=1000(1.1) = \$ 1100

∵ A > P

⇒ Ms. Lane will repay the bank greater dollars than she initially borrowed.

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And, 1500 > 1100

⇒ Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

8 0
3 years ago
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