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qaws [65]
3 years ago
13

Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

riable. A quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 B quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ 5 C quantity x plus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 D quantity x plus 5 over x plus 1, x ≠ −1, x ≠ 5, and i know that b is wrong
Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

Answer:

Option: A is correct (quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9)

Step-by-step explanation:

We are asked to simplify the expression:

=\dfrac{x^2+4x-45}{x^2+10x+9}

We know that this question could also be written as:

=\dfrac{x^2+9x-5x-45}{x^2+9x+x+9}

since on using the method of splitting the middle term.

=\dfrac{x(x+9)-5(x+9)}{x(x+9)+1(x+9)}\\ \\=\dfrac{(x-5)(x+9)}{(x+1)(x+9)}

Also x≠ -9 and x≠-1 (since by looking at the denominator term the denominator has to be non zero)

=\dfrac{x-5}{x+1}  ;  x≠ -9 and x≠-1

Hence, option A is correct.


lord [1]3 years ago
4 0
This can be factored into (x+9)(x+5)/(x+9)(x+1)
once simplified, it's (x+5)/(x+1)
The denominator cannot be negative, so x≠-1

Therefore, the answer is C.
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Maria used a number line to find 12 ÷ 4.
aleksandrvk [35]

Answer:

12 divided by 4 is 3, this is how::

Step-by-step explanation:

            ------ .(-4)------- .(-4) ---------.(-4)

<---------------------------------------------------->

0  1  2  3  4  5  6  7  8  9  10  11  12

hope this made sense

8 0
3 years ago
Read 2 more answers
HELPPP!<br> What is the solution to the system of equations graphed below?
Yuliya22 [10]
(-2,0) and (0,4) because these are the points where the two lines meet :)
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3 years ago
solve the system of linear equations by elimination, the equations are 2x-6=4y and 7y= -3x+9. What is the solution
tatiyna
This should be the answer. You can plug in 0 for y to any of the equation to find the x.

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3 years ago
Determine the slope of a line that is perpendicular to the line whose equation is x - 2y = 6.
Degger [83]

Answer:

The answer is -1/2

Step-by-step explanation:

We first start by removing x in order isolate the y variable

2y = 6 - x

y = \frac{6-x}{2}

Further, we simplify the equation in order to get the value of m (slope)

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4 0
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What is the function f(x)= 3x^3-4x^2-13x-6 in a factored form if 3 is a zero of the function
Vesnalui [34]

Answer:

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Step-by-step explanation:

I believe this is the answer you were looking for.

I'm not sure what "If 3 is a zero of the function" means

But I factored the equation you provided.

4 0
2 years ago
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