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Black_prince [1.1K]
3 years ago
14

Subtract: 4x/x^2-25 - 2/x^2+2x-15

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer: \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

Step-by-step explanation:

Given

Subtract the expression

\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

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Which is the equation of a line that is parallel to 2x + 5y = 4 and goes through the point (5, –4) ?
barxatty [35]

we know that

if two lines are parallel

then

their slopes are equal

Step 1

Find the slope of the line 2x + 5y = 4

2x + 5y = 4------> 5y=4-2x-----> y=(4/5)-(2/5)x------> slope m=(-2/5)

step 2

with m=-2/5 and the point (5, –4) find the equation of the line

y-y1=m*(x-x1)------> y+4=(-2/5)*(x-5)----> y=(-2/5)x+2-4

y=(-2/5)x-2

therefore

the answer is the option D

4 0
3 years ago
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Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Sunny_sXe [5.5K]

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

\frac{-x}{1} =\frac{-7}{1}

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8 0
3 years ago
What is the value of (2x^2-5x+4)if x =7
Troyanec [42]
<span>We have to use PEMDAS for this expression.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

</span>(2x^2 - 5x + 4)                    Original Mathematical Expression

[2(7)^2 - 5(7) + 4]                 Plugging the value of x, 7 into expression.

There are parentheses, so that means we have to work in them.

There are exponents, so we have to do those first.

[2(49) - 5(7) +4]                    Exponents.

There is multiplication, that we can do, so we do that left to right.

[98 - 35 + 4]                         Multiplication.

There is no division.

There is addition and subtraction, so we do those left to right.

[63 + 4]                                Subtraction.

67                                        Addition.

Final Answer: 67

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3 years ago
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artcher [175]
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3 0
3 years ago
Write an equation of a line that passes through (1,1)and (6,6)
Ghella [55]

Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

7 0
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