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Novay_Z [31]
3 years ago
6

Prove that for all admissible values of a, the value of the expression

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

The simplified value of given expression is 1, which is free from a, therefore the value of the expression does not depend on the variable a.

Step-by-step explanation:

The given expression is

(\frac{5}{a+1}-\frac{3}{a-1}+\frac{6}{a^2-1})\times \frac{a+1}{2}

(\frac{5(a-1)-3(a+1)+6}{a^2-1})\times \frac{a+1}{2}

(\frac{5a-5-3a-3+6}{a^2-1})\times \frac{a+1}{2}

(\frac{2a-2}{a^2-1})\times \frac{a+1}{2}

(\frac{2(a-1)}{(a-1)(a+1)})\times \frac{a+1}{2}

\frac{2(a-1)(a+1)}{2(a-1)(a+1)}

Cancel out the common factors.

\frac{2(a-1)(a+1)}{2(a-1)(a+1)}=1

Since the simplified value of given expression is 1, which is free from a, therefore the value of the expression does not depend on the variable a.

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What is the change of elevation between 8,500 m and -300m
Luda [366]

Answer: 1, 800m

Step-by-step explanation:

6 0
4 years ago
Elana owns a consulting business that helps software companies market their services to school districts. She earns an average o
fenix001 [56]

Answer:

2 contracts

Step-by-step explanation:

Break even point refers to the number of units or sales that needs to be generated for the company to make neither a profit nor a loss.

This means that at the break even point, sales is equivalent to the cost incurred (both fixed and variable).

Let the number of contracts that must be signed to break even be s

The rent is a fixed cost while the cost associated with each contract is variable.

5687.1s = 7000 + 1260.7s

5687.1s - 1260.7s = 7000

4426.4 s = 7000

s = 1.58

≈ 2

She must facilitate 2 contracts each month to break even.

6 0
3 years ago
Problem<br> 1<br> + 10x + 13 = 4
lutik1710 [3]

Answer:

x = -1

Step-by-step explanation:

Equation: 1+10x+13=4

Step 1: Balance both parts of the equation.

1+10x+13=4

(10x)+(1+13)=4

10x+14=4

10x+14=4

Step 2: Reduce 14 from both parts of the equation.

10x+14-14=4-14

10x= -10

Step 3: Split both sides by 10, because \mathrn {10x = -10}.

\frac{10x}{10} = \frac{-10}{10}

10 / -10 = -1

Therefore, x = -1.

6 0
3 years ago
I need to know the steps to simplify 15.7 + (-3.45)
faust18 [17]
U call it keep change change. keep 15.7. change it to subtract and change -3.45 to just 3.45 (positive not negative)
5 0
3 years ago
Read 2 more answers
Y^2 isolate 19x^2+4y^2=25
qaws [65]

Answer:

Simplifying

x2 + -4y2 = 25

Solving

x2 + -4y2 = 25

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y2' to each side of the equation.

x2 + -4y2 + 4y2 = 25 + 4y2

Combine like terms: -4y2 + 4y2 = 0

x2 + 0 = 25 + 4y2

x2 = 25 + 4y2

Simplifying

x2 = 25 + 4y2

Reorder the terms:

-25 + x2 + -4y2 = 25 + 4y2 + -25 + -4y2

Reorder the terms:

-25 + x2 + -4y2 = 25 + -25 + 4y2 + -4y2

Combine like terms: 25 + -25 = 0

-25 + x2 + -4y2 = 0 + 4y2 + -4y2

-25 + x2 + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0

-25 + x2 + -4y2 = 0

The solution to this equation could not be determined.

Step-by-step         sorry if im wrong

6 0
3 years ago
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