What is the difference of rational expressions below 6x/x-3 - 5/x

Answers

Answer 1
Answer:

Answer:

$  (6x^2-5x+15 )/(x^2-3x) $

Step-by-step explanation:

$(6x)/(x-3) -(5)/(x) $

$(6x(x))/(x(x-3)) -(5(x-3))/(x(x-3)) $

$(6x^2)/(x^2-3x) -(5x-15)/(x^2-3x) $

$  (6x^2-5x+15 )/(x^2-3x) $


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Answers

Answer:

(y-9)(2y^2 +9)

tommy has a car with a 22-gallon gas tank that yields 16 miles per gallon. How far can he drive on a full tank of gas?

Answers

Answer:

On a full tank of gas, Tommy can drive a distance:

D = 22 x 16 = 352 miles

Hope this helps!

:)

Answer:352 miles

Step-by-step explanation:

1 gallons for 16 miles

22 gallons for ______

For 22 gallons 22x16=352 miles

Find the next three terms in the geometric sequence. 2,-16,128,-1024,...

Answers

Answer:8192,-65536,524288

Step-by-step explanation:

2,-16,128,-1024,....

First term=a=2

Common ratio=r=-16/2=-8

Using the formula

Tn=a x r^(n-1)

T5=2 x (-8)^(5-1)

T5=2x (-8)^4

T5=2x4096

T5=8192

T6=2x(-8)^(6-1)

T6=2x(-8)^5

T6=2x-32768

T6=-65536

T7=2x(-8)^(7-1)

T7=2x(-8)^6

T7=2x262144

T7=524288

How many solutions does the system of equations below have y=3x+2 y-2x=4

Answers

it has one solution
(2,8)
x=2
y=8

Answer:

Only one solution.

Step-by-step explanation:

y = 3x +2

y -2x =4

y - 2x = 4

=> y = 2x +4

y = 3x + 2

y = 2x + 4

Since both equations are not the same, so the answer cannot be "infinitely many solutions".

They both intersect each other 1 point, so it cannot be "no solutions".

So the answer is "Only 1 solution".

Find the value of x and the value of y.A x= 2√3, 7 = 43
B. x= 3, y = 6/3
C. x= 6/3, y = 12
D. x=21/3, y = 6

Answers

Answer:

x =  6/√3  ,   y = 12/√3

Step-by-step explanation:

sin 60° = opposite /hypothenus

√3/2 = 6/y

cross multiply

√3y=6 x 2 = 12

y = 12/√3

Tan 60° = opposite/adjacent

tan 60° = √3

√3 = 6/x

√3x= 6

x = 6/√3

What is the GCF of 4x^2 - 100? I'm not sure if there is even a GCF.

Answers

The greatest common factor is 2.