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Sever21 [200]
2 years ago
13

x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not

constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.
Mathematics
1 answer:
iogann1982 [59]2 years ago
7 0

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

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At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?
34kurt

Answer:

List price (original price) = $350

Discount amount ($ saved) = $133

Step-by-step explanation:

The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.

3 0
3 years ago
I am in desperate need of help!!7. D is the midpoint of CE Prove: D=1/2CE
vivado [14]

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4 0
9 months ago
You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acre
Varvara68 [4.7K]

Answer:

You have 1.07 acres in this building lot and you can only build 2 houses.

Step-by-step explanation:

You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.

We are given that 1 acre = 43,560 square feet.

In this building plot (260 foot by 180 foot), the area is:

260 * 180 = 46,800 square feet

Hence, the number of acres we have in this lot is:

\frac{46800}{43560} = 1.07

Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:

\frac{1.07}{\frac{1}{2} } = 1.07 * 2 = 2.14

Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.

You have 1.07 acres in this building lot and you can only build 2 houses.

4 0
3 years ago
What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
ExtremeBDS [4]

Given:

The given values are:

a=0.2094539899

b=2.507467975

r^2=0.9435996398

r=0.9713905701

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

y=a\cdot b^x          ...(i)

Where, a is the initial value and b is the growth/decay factor.

We have,

a=0.2094539899

b=2.507467975

Round these numbers to three decimal places.

a\approx 0.209

b\approx 2.507

Substitute a=0.209, b=2.507 in (i) to find the exponential regression equation.

\hat{y}=0.209\cdot 2.507^x

Therefore, the correct option is C.

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Its 2 long sides and one long side so its B 
8 0
3 years ago
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