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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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A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

To learn more about addition, visit:

brainly.com/question/25621604

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5 0
1 year ago
Mary gets an annual salary of $56,780. if she is paid semimonthly, what is the amount of her semimonthly gross pay?
Ulleksa [173]
 <span>There are 52 weeks in a year. Being paid biweekly means being paid every other week, or 26 times a year. 

$567.20 * 26 

There are 12 months in a year. If Mary is paid semimonthly, she is paid twice a month, or 24 times a year. 

$56,780 / 24</span>
3 0
3 years ago
Read 2 more answers
^^ question above! Thanks!
Aleksandr [31]
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9
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ALGEBRA 1 HONORS EASY QUICK QUESTION
Mashutka [201]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Prove that in general (x + a)<br> 2 ≠ x2 + a2
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