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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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If r = 4 and a6 = 192, what is the first term of the sequence?
blagie [28]

Answer:

Answer: Option c. 0.1875 is the first term of the sequence.

Step-by-step explanation:

In this question sixth term of a sequence is given as A(6)= 192

Ratio of terms is given as 4

And we have to calculate the first term of the sequence.

As per formula A(n) = A(1)×r^{n-1}

                         A(6) = A(1)(r)^{6-1}

                          192 = A(1)4^{5}

                           A(1) = \frac{192}{4^{5} }

                                 = 192/1024

                                 =0.1875

So the first term of the sequence will be 0.1875      



5 0
3 years ago
When the input is 4 ,the output of f(x)=x+21 is
NARA [144]

The Correct answer is 25

Why? 4+21=25

Want Proof?\/


8 0
3 years ago
Help me please I forgot my notes at school
sukhopar [10]
1/2 x 6 = 3
3 x 8 = 24
24/6 = 4
4 - 1 = 3

3 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
Plz help ill give you brainlist plz
vekshin1
Simple you get the area of the inner rectangle, then the area of the 2 semi circles then add them.
First, you need to notice that the diameter of each circle is same as the side of the rectangle (46m), also not that the 2 semi circles will make a complete one circle with radius (46/2)
so now we are left with the area of the rectangle+the area of a circle with radius of 32m
The total area= (46*92)+(3.14*(32^2))= 7447.36m^2
and to keep you significant figures the answer is rounded to 3 digits, so the final answer will be 745m^2.
Hope this helps, thanks.
3 0
3 years ago
The table shows the number of wins of each school baseball team over the last six years. Find the mean absolute deviation for ea
Gwar [14]

Answer: Bears: 1.80 Saints: 1.40

Step-by-step explanation: Hope this helps!!

8 0
2 years ago
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