Find the difference 7/x^2-7x - 5/x^2-49

1 answer:

4 0

Rewriting the expression we have:
(7 / (x ^ 2-7x)) - (5 / (x ^ 2-49))
Rewriting the denominator:
(7 / (x * (x-7))) - (5 / ((x-7) (x + 7)))
(1 / (x-7)) * ((7 / x) - (5 / (x + 7)))
Rewriting we have:
(1 / (x-7)) * (((7x + 49) + (-5x)) / (x * (x + 7)))
(1 / (x-7)) * ((2x + 49) / (x * (x + 7)))
((2x + 49) / (x * (x + 7) * (x-7)))
Answer:
The difference is:
((2x + 49) / (x * (x + 7) *(x-7)))

You might be interested in

A flag is 2 feet by 3 feet. I want to enlarge the flag so that the longest side is 15 feet. How long should the shorter side of

kondor19780726 [428]

Answer:

10 feet

Step-by-step explanation:

Given

Dimension = 2 feet by 3 feet

Required

Determine the length of the short side if the longer side is scaled to 15 feet

Represent the before and after enlargement as a ratio:

Before Enlargement

Ratio = 2 ft : 3ft

After Enlargement

Ratio = x : 15 ft

Where x represents the length of the shorter side

Since they're both proportional, their ratio must be equal.

So, we have:

2 : 3 = x : 15

Convert ratio to fraction

⅔ = x/15

Multiply both sides by 15

15 * ⅔ = 15 * x/15

15 * ⅔ = x

30/3 = x

10 = x

x = 10

Hence, the length of the shorter side must be 10 feet

4 0

3 years ago

Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.

Andrei [34K]

Answer:

did u ever get the answer i need helpppp

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 11.45 as a fraction

Viefleur [7K]

11.45

the 11 is ur whole number...it stays ur whole number
the 0.45 is ur fraction...and since the last number (5) is in the hundredths place, put it over 100
so u now have : 11 45/100 which reduces to 11 9/20 and if u need it in improper fraction form, it is 229/20

6 0

3 years ago

Read 2 more answers

What is the slope, y-intercept, and equation of a line given the points (-4, 0) and (1, 5)?

Alex Ar [27]

Answer:

$Slope: 1\\y-Intercept: 4\\Equation: y = x + 4$