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Ne4ueva [31]
3 years ago
5

(4/x+4)+(x/x-4) find the comoon denominator and then add. Show your work

Mathematics
1 answer:
lakkis [162]3 years ago
6 0
To get the common denominator you would multiply the first term by (x-4)/(x-4) and you multiply the second term by (x+4)/(x+4):

<span> (x-4) 4    </span>   +  <span>   x   (x+4)</span>
 (x-4)(x+4).     (x-4)(x+4)

The next step  is to distribute the 4 (x-4) and the x (x+4)

so now you have

4x-16 + x^2 + 4x
(x - 4) (x + 4)

now combine like terms and put them in order exponents

<span>x^2 + 8x - 16
</span>(x-4)(x+4)


Since x^2 + 8x - 16 is not factorable you are done.  That is your answer:

<span><u>x^2 + 8x - 16</u>
</span>(x-4)(x+4)
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Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5
Artyom0805 [142]

The linear equation in standard form is y=\frac{-5}{3}x +5.

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for  \frac{\Delta x }{\Delta y}.

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3  and  y-intercept: 5. Then,

  • The x-intercept is the point that y=0, then the x-intercept point is (3,0).
  • The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : y=\frac{-5}{3}x +5.

Read more about the linear equations here:

brainly.com/question/2030026

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4 0
2 years ago
Simplify 3x+(4x-3) <br><br> Pls :)
OLga [1]

Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

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Combine like terms

3x + 4x = 7x

7x - 3

5 0
3 years ago
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The numerator and the denominator of a fraction are thirteen and fifty, respectively. When a certain number is added to this num
Talja [164]
(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
100 - 2x = 13 + x
add 2x to both sides
100 -2x + 2x = 13 + x + 2x
100 = 13 + 3x
Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x

(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio
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3 years ago
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Brrunno [24]
180 minutes, also 2 hours and 40 minutes
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3 years ago
1. What is the value of m in the equation below? m + 91.3 = 0 GNC​
kherson [118]

Step-by-step explanation:

m = -91.3

Since you move from 91.3 to the other side of the equal sign, it becomes a negative number (-91.3)

Think of the equal sign as a seperator from the positive and negative side.

If you also get an equation like -x=91.3, just flip the -x, to x, and change the 91.3 to a negative 91.3!

Cheers!

3 0
3 years ago
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