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tresset_1 [31]
3 years ago
14

Consider this expression...

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

\frac{3x}{x + 2}  +  \frac{4x}{x - 2}  \\  \frac{(3x(x - 2) + (4x(x + 2))}{(x + 2)(x - 2)}

(3x²-6x+4x²+8x)/(x²-2²)

(7x²+2x)/(x²-4)

comparing with

ax²+bx/x²+c

we get

a=7

b=2

c=-4

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Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l
marta [7]

Answer:

\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}

4 0
1 year ago
Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1
lapo4ka [179]
Solve your system of equations.

2x+y=1;4x+2y=−1

Solve 2x+y=1 for y:

2x+y+−2x=1+−2x(Add -2x to both sides)

y=−2x+1

Substitute (−2x+1) for y in 4x+2y=−1:

4x+2y=−1

4x+2(−2x+1)=−1

2=−1(Simplify both sides of the equation)

2+−2=−1+−2(Add -2 to both sides)

0=−3

Answer: No solution. C)

8 0
3 years ago
Read 2 more answers
The sum of a number b and 3 is greater than 8 and less then 12
snow_lady [41]
The sum of a number b and 3 is greater than 8 and less than 12 <span>=> b + 3 < 8
=> b + 3 > 12

</span> <span>Now, let’s combine this into an expression:
=> 8 < b+3 < 12
=>  (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but less than 12.

</span>



4 0
3 years ago
He makes $316 a week and $23 for every sale he makes. He has to pay his rent this week that is $500, so he will need to make at
Lyrx [107]

let x be the number of sales Hayward needs to make

316+23x > or equals to 500

23x> or equals to 184

x> or equals to 8

4 0
3 years ago
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate how many cups of sugar sho
mr Goodwill [35]

Answer:

The answer is 1 cup of sugar

Step-by-step explanation:

x = 2 x 1.5/3

x = 3/3

x = 1 cup of sugar

hope it helps!

4 0
3 years ago
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