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grandymaker [24]
3 years ago
13

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Mathematics
2 answers:
N76 [4]3 years ago
4 0

Answer:

C

Step-by-step explanation:

(–3, 4) and (2, 8)

y2 = 8, y1 = 4, x2 = 2 and x1 = -3

Slope m = {y2-y1}/{x2-x1}

m = {8 - 4}/{2 - (-3)}

m = 4/(2+3)

m = 4/5

And

y - y1 = m(x - x1)

y - 4 = 4/5(x - (-3))

y - 4 = 4/5(x + 3)

Multiply each term by 5

5y - 20 = 4(x + 3)

5y - 20 = 4x + 12

5y = 4x + 20 + 12

5y = 4x + 32

Dividing by 5

y = 4x/5 + 32/5

y = 0.8x + 6.4

GREYUIT [131]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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A scientist has started a bacteria culture with 1,000 cells. The cells will double every hour. 1. Write the sequence that repres
babymother [125]

Answer:

See below in bold.

Step-by-step explanation:

1.   The sequence is 1000, 2000, 4000, 8000.

2.  The common ratio  is 2000/1000 = 2.

3.   Number of bacteria after 7 hours is 1000(2)^(7- 1)

    = 64,000.

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During the 11th hour.

8 0
3 years ago
Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi
ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0
3 years ago
Zachary created a garden that measured7 x 6.5 feet. How many 8-foot rolls of fencing will he need to completely surround the gar
lutik1710 [3]

Answer:

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So 6!

8 0
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