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3 years ago

What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Answer:

(-1.25, 0) or (-5/4, 0)

Step-by-step explanation:

The x-intercept is when y = 0, so let's plug 0 into the equation:

3(0) - 8x = 10

Now we use basic algebra to solve for x:

0 - 8x = 10

-8x = 10

x = -5/4 or -1.25

So the answer is (-1.25, 0) or (-5/4, 0).

Hope this helps (●'◡'●)

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Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4

Damm [24]

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

6 0

3 years ago

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is it’s volume, in cubic in?

marissa [1.9K]

Answer:

12 times 2 is 24. 5 times 2 is 10. 8 times 2 is 16. 24 plus 10 plus 16 is 50

Step-by-step explanation:

4 0

4 years ago

Please help me out with this

AVprozaik [17]

Answer:

6 in^2.

Step-by-step explanation:

The area of 2 similar figures are in the ratio of the squares of corresponding sides. So we have the equation:

3^2 / 6^2 = x / 24

9/36 = x /24

1 / 4 = x / 24

x = 24/4 = 6 in^2 (answer).

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3 years ago

Which statements represents the relationship between y=4^x and y=log4x? 1. The graphs of functions are symmetric to each other o

meriva

The solution is 3. The functions are inverses of each other , attached the work.

4 0

3 years ago

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much

Eddi Din [679]

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

4 0

3 years ago