How to simplify rational expressions?

Answers

Answer 1

Answer: Steps to simplify rational expressions. 4) If possible, look for other factors that are common to the numerator and denominator. In our example, we can use foil in reverse to factor an (x − 1) in the denominator and further cancel this binomial from both the numerator and the denominator.

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Penny works at a localamusement park.
She earns $9.80 per hour.
She is also paid $7.00 for
meals and $3.00 for
transportation each day.
Last Friday, Penny earned
$88.40. Write and solve an
equation to determine how
many hours Penny worked
on Friday.

Answers

Answer:Penny worked 8 hours on Friday.

7 + 3 + 9.8h = 88.4

h = 8

Plz mark brainliest:)

Can someone help me plz I'm confused

Answers

9.

2x+3+x+9 = 180 => 3x = 168 => x = 56;
m(<ABD) = 2*56 + 3 = 115.

Covert 3/8, 2/9, 4/7, and 1/5 to decimal

Answers

Answer:

3/8=0.375

2/9=0.223

4/7=0.571

1/5=0.20

The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant

Answers

$y = x^2 + 8x + 10\n\nThe\ vertex=(p;\ q)\ \ \ and\ \ \ p=- (b)/(2a) ;\ \ \ q=- (\Delta)/(4a) ;\ \ \ \Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot10=64-40=24\n\np=- (8)/(2\cdot1) =-4\n\nq=- (24)/(4\cdot1) =-6\n\nthe\ vertex=(-4;-6)$

$y = x^2 + 8x + 10 \n \nthe \ standard \ form \ y = ax^2 + bx + c \n\nof \ a \ function \ into \ vertex \ form \ y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \n\n\ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a ) \n \ny = a(x - h)^2+k$

opens up for a > 0

$a=1 , \ \ b=8, \ \ c=10 \n \nh= (-8)/(2)=-4$

$k= 10-(8^2)/(4)=10-(64)/(4)=10-16=-6 \n \ny=(x-(-4))^2+(-6)\n \ny=(x+4)^2-6$

36x^3a+45xa^2=9xa( ) complete the statement.

Answers

9xa is the common factor.

You can complete the statement by dividing the two terms of the expression of the left side by 9xa, and you will get:

36x^3a + 45xa^2 = 9xa ( 4x^2 + 5a)

Suppose Lynn rolls a fair die until a 6 appears on top. What is the probability that it rolls to get a six the first time?