MATHEMATICS HIGH SCHOOL

Which expression is in simplified form for the given expression and states the correct variable restriction? u^2-4/(u-6)(u-2)
a. 1/u-3, u=3
b. u+2/u-6, u=2, u=6
c. 1/2u+12, u=-6
d. u+2/u-6, u=6

Answers

Answer 1
Answer: (u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

 u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6

Related Questions

How would you convert 5 feet 6 inches to inches
What is 30 minutes as a percentage of an hour?
Maureen took a train from Chesterton to Riverside by way of Watertown and Salem. The train went 8 kilometers from Chesterton to Watertown. It was 2 kilometers from Watertown to Salem and 3 kilometers from Salem to Riverside. How many kilometers was Maureen's train ride?
Write an expression that simplifies to 160 using the commutative and associative properties
Juliet opened a savings account at a bank by depositing $75. The account earns simple interest at a rate of 4% per year. The money has been in the account for 5 years, and Juliet has not made any more deposits or withdrawals. How much money is in Juliet’s account?A) $270.00 B) $78.00 C) $80.00 D) $90.00

Mary Jackson gets a student rate of $27.50 a month for health insurance. There is a $200 deductible, but no coinsurance payment. She recently received treatment for a covered condition. The bill was $2,350.00 Mary's insurance company provided payment of 80% of the bill less the deductible.What was the company's payment? $

What was Mary's total cost (ignoring the monthly premium)? $

Answers

$2350 -$200= $2150 * 80% = $1720

What was the company's payment? $1720

$2350 - $1720 = $630


What was Mary's total cost (ignoring the monthly premium)? $ 630

Answer:

1. 1720

2. 630

Step-by-step explanation:

Convert the rate 1000 fluid ounces per 2 hours to cups per minute.

Answers

The conversion may be done through the dimensional analysis and the use of proper conversion factors. Each fluid once is 0.125 cup and each hour is equal to 60 minutes. 
  (1000 fluid ounces / 2 hours) x (0.125 cup / 1 fl oz.) x (1 hr / 60 min) = 2.08 cup/ minute

Thus the conversion is 2.08 cup / minute. 

a store mixes red fescue worth $12 per pound and chewings fescue worth $16 per pound. The mixture is to sell for $15 per pound. Find out how much of each should be used to make a 552- pound mixture.

Answers

Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.

Explanation:
x - how much of red fescue is needed for one pound of mixture
y - how much of chewings fescue is needed for one pound of mixturex*12+ y*16 = 15x + y = 1
so, x=1-y
putting it into first line:(1-y)*12 + y*16 = 15
12 - 12*y + 16*y = 15
4*y = 3
y=3/4
so, x= 1-3/4; x=1/4So to produce 552 pounds of mixture we need..To produce 1 pound of mixture we need: 3/4 pound of red fescue and 1/4 pound of chewing fescue so to produce 552 pounds of miture we need:
552*3/4 - red fescue, which is 414 pounds needed
and
552/4 - chewings fescue, which is 138 pounds needed

Answer:

e+ f = 8 (total solution)

8e + 56f = 20*8 (total saline)

---

e+ f = 8

e + 7f = 20

------------ Subtract

-6f = -12

f = 2

e = 6

Why are sports teams considering switching to a variable-pricing strategy for tickets?

Answers

Sports teams are switching to a variable-pricing strategy for tickets so that they can get higher profit on games with record attendance numbers. They feel the need to do so because the marginal cost, such as construction payment player's salaries, did not equal to the marginal revenue. 

Which one of the following points lies on the
line y= 2x - 3

Answers

The required point for the given line is (0, -3). The correct option is (D).

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The equation of the given line is y = 2x - 3.

In order to find the point lying on it, consider each of the options one by one as follows,

(a) (2 , 3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × 2 - 3

       = 1

Since, LHS ≠ RHS, the given point is not the solution.

(b) (-2, -1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × -1 - 3

       = -6

Since, LHS ≠ RHS, the given point is not the solution.

(c) (4, 1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 4

RHS = 2x - 3

       = 2 × 1 - 3

       = -1

Since, LHS ≠ RHS, the given point is not the solution.

(d) (0, -3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = -3

RHS = 2x - 3

       = 2 × 0 - 3

       = -3

Since, LHS = RHS, the given point is the solution.

Hence, the point (0, -3) is the solution of the given equation.

To know more about linear equation click on,

brainly.com/question/11897796

#SPJ2

Which expression has a value of 15 when

Answers

The expression has a value of 15 when you divide by 2.

Answer:

thx

Step-by-step explanation:
Other Questions
The graph of a function is given. Find the approximate coordinates of all points of inflection of the function (if any). (Assume a = 6.)
Which is the best definition of the radius of a circle? A. The distance around the outside of the circle B. The distance across the middle of the circle C. The Point at the center of the circle D. The distance from the center to any point on the circle
Eiffel tower is 324 m high what would be the height of a miniature which bears a ratio of 1: 4000 with the tower?
If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?a. 0.62 feet per second b. 0.31 feet per second c. 37.68 feet per second d. 3.14 feet per second e. 9.42 feet per second