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4 years ago

Which equation represents a line parallel to 3x-8y=12?

Mathematics

1 answer:

TEA [102]4 years ago

5 0

Answer:

B. y = -3/8x - 4

Step-by-step explanation:

Given equation: 3x - 8y = 12

Find a parallel line that matches one of the equations shown.

First, find the slope by solving for y:

3x - 8y = 12

8y = -3x + 12

y = -3/8x + 12/8

y = -3/8x + 3/2

Slope m = -3/8

Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8

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Difference between 6 and -11

zheka24 [161]

The difference between 6 and -11 is 17
because 6 - (-11) = 17
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3 years ago

Read 2 more answers

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disa [49]

Answer:

The 2nd answer: y = 1/2x

Step-by-step explanation:

2 x 1/2= 1 and if you do 1/2 times x you'll see it works. Hope this helps!

4 0

3 years ago

Please help! Correct answer only please! A student number system for a county requires that the student number be 5 characters.

Zina [86]

Answer:

Step-by-step explanation:

For the first 3 digits the possibilities are

10*9*8 since there is no repeating

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3 years ago

Find the total surface area of this cone

fenix001 [56]

Answer:

S.A. = 1,017.36

Step-by-step explanation:

S.A. = $\pi r^{2} + \pi rl$

12 x 12 x 3.14 = 452.16

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565.2 + 452.16 = 1,017.36

3 0

3 years ago

A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate

san4es73 [151]

Answer:

a) $E(A)=\frac{1+6}{2}=3.5 ppm$

b) $P(2.875$

c) $P(X$

Step-by-step explanation:

If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value $E(A) = \frac{5+10}{2}= 7.5$

Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"

Solution to the problem

Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:

$A\sim Uniform(1 ,6)$

Part a

For this uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{1+6}{2}=3.5 ppm$

Part b

For this case we can use the cumulative distribution function for the uniform distribution given by:

$F(X=x)= \frac{x-a}{b-a} = \frac{x}{6-1} =\frac{x-1}{5} , 1 \leq X \leq 6$

And we want this probability: $P(2.875$ Part c

For this case we want this probability:

$P(X$

3 0

3 years ago