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sergejj [24]
3 years ago
11

A line has a slope of 3 and passes through the points (12,5). What is the equation of this line?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

y = 3x -31

Step-by-step explanation:

y=mx+b

m=3

5 = 3*12 +b

b = 5 - 36

b = -31

y = 3x -31

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Simplify the expression. -2/3c -9/5 + 14c + 3/10
Andrew [12]

Answer:

13 \frac{1}{3} c - 1 \frac{1}{2}

Step-by-step explanation:

We want to combine alike terms so

-2/3c+14c & -9/5+3/10

14c-2/3

\frac{14}{1} c -  \frac{2}{3} c

Multiply 14/1 by 3/3 to get the denominators the same

\frac{42}{3} c -  \frac{2}{3} c

Subtract

\frac{40}{3} c

simplify

13 \frac{1}{3} c

now

\frac{3}{10}  -  \frac{9}{5}

Multiply 9/5 by 2/2

\frac{3}{10}  -  \frac{ 18}{10}

Subtract

- \frac{15}{10}

Simplify

- 1 \frac{1}{2}

put both together

13 \frac{1}{3}c  - 1 \frac{1}{2}

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

5 0
2 years ago
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Is multiplying 10 to the power of 3 the same as multiplying by 10 factors of 3
andrew-mc [135]
No because since multiplying by 10³ is multiplying by 10 times 10 times 10 which equals 1000 and multiplying by 10 factors of 3 is multiplying by 3 times 3 times 3 times 3…….for 10 times equals 59049
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3 years ago
Jack divided 1,826 by to get a quotient of 18.265
lianna [129]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Fill in the missing information. Tim Worker is doing his budget. He discovers that the average miscellaneous expense is $45.00 w
nlexa [21]

Answer:

P(38.6

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

z=\frac{X -\mu}{\sigma}

And replacing we got:

z=\frac{38.6- 45}{16}= -0.4

z=\frac{57.8- 45}{16}= 0.8

We can find the probability of interest using the normal standard table and with the following difference:

P(-0.4

Step-by-step explanation:

Let X the random variable who represent the expense and we assume the following parameters:

\mu = 45, \sigma 16

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

P(38.6

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

z=\frac{X -\mu}{\sigma}

And replacing we got:

z=\frac{38.6- 45}{16}= -0.4

z=\frac{57.8- 45}{16}= 0.8

We can find the probability of interest using the normal standard table and with the following difference:

P(-0.4

6 0
3 years ago
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