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2 years ago

Subtract the rational expression and simplify x+2/2x-6 - x+3/5x-15

Mathematics

1 answer:

SashulF [63]2 years ago

7 0

Answer: -3x² - 2x -57

This is how this would look: $\frac{x+2}{2x-6} - \frac{x+3}{5x-15}$

First I brought the denominator to the top for both expressions.

so I was left with: 2x-6(x+2) - 5x-15(x+3)

I distributed, combined like terms, and simplified.

<em><u> -3x² - 2x -57</u></em> was my answer

Step-by-step explanation:

Trust Milky. Milky smart.

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2/5 + 1/3, Whats The Answer?

meriva

Take the 2/5 and multiple it by 3 to get 6/15....then take the 1/3 and multiple it by 5 to get 5/15. Then add this together (6/15+5/15=....) to get 11/15

6 0

3 years ago

Read 2 more answers

A single card is drawn from a standard 52 card deck. Work out the probability of choosing "an ace". Give your answer in its simp

Furkat [3]

Answer:

1/13

Step-by-step explanation:

Total cards = 52

No: of aces in the cards= 4

Probability = 4/52 = 1/13

I hope im right!!1

5 0

2 years ago

What is franks commission if he sales $12,500 of an item and his commission rate is 8.5%

Licemer1 [7]

<h3>SOLUTION:</h3>

Given,

Total sale = $12,500

Rate = 8.5%

Therefore, Commission

= 12,500 × 8.5%

= 12,500 × 85/1000

= 1062.5

5 0

2 years ago

Mark bought 12 boxes of paper clips and 10 packages of index cards for a

Nata [24]

Answer:

paper clips = $1.85

index cards = $3.95

Step-by-step explanation:

Mark

12 paper clips = x

10 index cards = y

$61.70 total

Janice

15 paper clips = x

7 index cards = y

$55.40 total

12x + 10y = 61.70

15x + 7y = 55.40

*** you want to cancel out one of the letters

(12x + 10y = 61.70) * -7

(15x + 7y = 55.40) * 10

-84x -70y = -431.9

150x + 70y = 554.0

-84x -70y = -431.9

66x + 0 = 122.1

66x = 122.1

x = 122.1 ÷ 66

x = 1.85

plug it back in

15(1.85) + 7y = 55.40

27.75 + 7y = 55.40

7y = 55.40 - 27.75

7y = 27.65

y = 27.65 ÷ 7

y = 3.95

8 0

3 years ago

Find the domain of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E3-16x%7D" id="TexFormula1" title="\sqrt{x^3

Anon25 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\sqrt{x^3-16x}$

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

$x^3-16x\ge 0$

as x³ - 16x ≥ 0

$\left(x+4\right)\left(x-4\right)\ge \:0$

Thus, identifying the intervals:

$-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4$

Thus,

The domain of the function f(x) is:

$x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}$

And the Least Value of the domain is -4.

3 0

2 years ago