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2 years ago

2x + 8y = 28 2x + 8y = 29 e?

Mathematics

1 answer:

egoroff_w [7]2 years ago

6 0

Answer:

The question is unclear. what is e?

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Line L1 passes through points P(n,4) and Q(1,-2). Line L2 passes through R(4,3) and S(1,5). What is the value of n if the lines

Elena L [17]

Answer:

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

Get the slope of each line

For L1;

m1 = -2-4/1-n

m1 = -6/1-n

For L2;

m2 = 5-3/1-4

m2 = 2/-3

m2 = -2/3

Since they have the same slope, m1 = m2

-6/1-n = -2/3

6/1-n = 2/3

Cross multiply

2(1-n) = 6(3)

2-2n = 18

-2n = 18 - 2

-2n = 16

n = -16/2

n = -8

Hence the value of n is -8

4 0

2 years ago

Juan and Nina are in the Junior High Orchestra. As part of the orchestra they each have to learn two instruments. Juan is learni

Whitepunk [10]

Answer:

Nina practiced the viola for 11.25 hours last week.

Step-by-step explanation:

Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So

3h violin - 2.5h cello

9h violin - xh cello

$3x = 9*2.5$

$x = 7.5$

He practiced 7.5 hours of cello, the same as Nina.

For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:

3h viola - 2h cello

xh viola - 7.5h cello

$2x = 3*7.5$

$x = 7.5*1.5$

$x = 11.25$

Nina practiced the viola for 11.25 hours last week.

3 0

2 years ago

What is the domain and range of this function?

max2010maxim [7]

As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

$x-2>0 \iff x>2$

As for the range, we have:

The range of $\log(x)$ are all real numbers
If we change to $\log(x-2)$ we're translating the function horizontally, so the range remains the same
If we change to $\log(5(x-2()$ we're stretching the function horizontally, so the range doesn't change
If we change to $\log(5(x-2))+1$ we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.