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Lina20 [59]
3 years ago
9

Which of the following equations could represent the points in the table? Select all that apply.

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points (x_1,y_1) and (x_2,y_2)

m = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (0, 11) and (1, 5) will be,

m = \frac{11-5}{0-1}

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

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Answer:

A

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A box of old books contains 6 mysteries, 4 biographies, and 2 children’s books. Which of the following can be used to determine
MAVERICK [17]
<h2>Answer:</h2><h2>The probability of choosing a mystery book from the box, replacing it, and then choosing a biography = \frac{1}{6}</h2>

Step-by-step explanation:

A box of old books contains mysteries,  biographies, and  children’s books.

The number of books in mysteries = 6

The number of books in biographies = 4

The number of books in childrens  = 2

The total number of books = 12

The probability of choosing a mystery book from the box = \frac{6}{12}

The probability of choosing a biography book from the box = \frac{4}{12}

The probability of choosing a mystery book from the box, replacing it, and then choosing a biography = ( \frac{6}{12}) ( \frac{4}{12})        ( since it is with replacement)

            = \frac{1}{6}

8 0
3 years ago
Can someone please answer this for me please??
klio [65]

Answer:

15/16

Step-by-step explanation:

Using the order of operations, we need to multiply in the parentheses first...

3/5*25/24=75/120, which simplifies to 5/8.

Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.

5/8*3/2=15/16

This is the final answer!

I hope this helped you out!! Have an amazing day φ(゜▽゜*)♪

6 0
2 years ago
What is the exponential form of 100000
Yanka [14]

Answer:

10^4

Step-by-step explanation:

8 0
3 years ago
A rectangle has an area of 120 square feet and a width of 8 feet. please help
madam [21]

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

5 0
2 years ago
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