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sertanlavr [38]
4 years ago
5

Simplify fully X squared - 8x + 15 Over X squared + x -12

Mathematics
2 answers:
Likurg_2 [28]4 years ago
4 0
\frac{x^2-8x+15}{x^2+x-12}=\frac{x^2-3x-5x+15}{x^2-3x+4x-12}=\frac{x(x-3)-5(x-3)}{x(x-3)+4(x-3)}=\frac{(x-5)(x-3)}{(x+4)(x-3)}= \\
=\boxed{\frac{x-5}{x+4}}, x \not= -4 \hbox{ and } x\not= 3
zimovet [89]4 years ago
3 0
\frac{x^{2} - 8x + 15}{x^{2} + x - 12} = \frac{x^{2} - 5x - 3x + 15}{x^{2} + 4x - 3x - 12} = \frac{(x - 3)(x - 5)}{(x - 3)(x + 4)} = \frac{x - 5}{x + 4}
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The total cost ,c, of renting a Canoe for n hours can be represented by a system of equations. Write the system of equations tha
Brut [27]

Answer:  \left \{ {{c=28} \atop {c=3n+13}} \right.

Step-by-step explanation:

<h3> The missing data is: " The cost of renting a conoe to use on River Y costs $28. The cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit".</h3>

Let's find the first equation.

You know that the cost of renting a conoe to use on River Y costs $28. This is:

c=28

To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit, you can identify that:

m=3\\b=13

Therefore,  the equation that represents this situation is:

c=3n+13

So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:

\left \{ {{c=28} \atop {c=3n+13}} \right.

8 0
3 years ago
PLEASE HELP FIRST ANSWER IS THE BRAINLIEST ANSWER!!!
motikmotik

Step-by-step explanation:

There are no choices available, so here is a graph of that equation.  Simply compare it to the answer.

6 0
4 years ago
The area of a rectangle is 84 inches. It has a length of x−2 and a width of x+3. What are the dimensions of the rectangle?
gayaneshka [121]
Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x.

(x +2)x = 15
x2 + 2x = 15
x2 + 2x - 15 = 0
Factor the quadratic equation:
(x - 3)(x + 5) = 0
x = 3 or x = -5
Since length can't be negative, discard the answer -5.
If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.
3 0
4 years ago
Read 2 more answers
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elixir [45]
The answer is $50 per month
4 0
3 years ago
A sweater that regularly sold for $52 id now on sale at 30% off. what is the sale price?
pochemuha

Since the sweater is now 30% off, that means it is selling for 70% of it's original price ( 100% - 30% = 70%).


Multiply the original price by 70%:


52 x 0.70 = 36.40


The sale price is $36.40

8 0
4 years ago
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