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Blizzard [7]
3 years ago
10

What is the equation of the line that passes through the point(-8,1) and has a slope of -3/4​

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

slope = -3/4

using the formula

y -y1 = m(x -x1)

y -1 = -3/4(x -(-8))

y -1 = -3/4(x +8)

cross multiply

4(y -1) = -3(x +8)

4y -4 = -3x -24

4y = -3x -24 +4

4y = -3x -20

divide both sides by 4

y = -3/4 x -5 (equation of the line)

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Can someone fr help me with this like right now i’ll appreciate it sm
rjkz [21]

Step-by-step explanation:

Since

\frac{108}{72}  =  \frac{3}{2}

\frac{72}{48}  =  \frac{3}{2}

\frac{48}{32}  =  \frac{3}{2}

The function has a constant factor so we have a exponential function.

The equation of a exponential function is

y = a(b) {}^{x}

Where a is the initial value and b is the growth factor

The growth factor is 3/2,

The initial value in 32

y =  32 ( \frac{3}{2} ) {}^{x}

Plug in 4 for x.

You will get 162

Plug in 5 for x you will get

243.

2013- 162

2014- 243

8 0
2 years ago
A car drives 120 miles at a speed of 40 mph. How long did it take?
ss7ja [257]

Answer:

3 hours

Step-by-step explanation:

5 0
3 years ago
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you got this i believe in you!

6 0
3 years ago
A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a
Diano4ka-milaya [45]

Answer:  (C) 0.1591

Step-by-step explanation:

Given : A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a normal distribution with

\mu=42,100\text{ miles}

\sigma=2,510\text{ miles}

Let x be the random variable that represents the lifetime of the tires .

z-score : z=\dfrac{x-\mu}{\sigma}

For x= 44,500 miles

z=\dfrac{44500-42100}{2510}\approx0.96

For x= 48,000 miles

z=\dfrac{48000-42100}{2510}\approx2.35

Using the standard normal distribution table , we have

The p-value : P(44500

P(z

Hence, the probability that a randomly selected tire will have a lifetime of between 44,500 miles and 48,000 miles =  0.1591

3 0
3 years ago
)Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
Sergeu [11.5K]
Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)


ANSWER: (C) $35 + (-$7) + (-$5)

Hope this helps! :)
4 0
3 years ago
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