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maw [93]
2 years ago
6

Simplify completely X2 + 4x - 45 ÷ x2 + 10x + 9 and find the restrictions on the variable​

Mathematics
1 answer:
svetoff [14.1K]2 years ago
7 0

Answer: (x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.

Step-by-step explanation:

Factor the numerator:

(x+9)(x-5)

Factor the denominator:

(x+1)(x+9)

So you have

(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?

You're left with (x-5)/(x+1)

The only number that is restricted is -1, because that would make the denominator zero, which is a no no!!

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One number exceeds another by 1. the sum of the numbers is 21. what are the numbers
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Try this solution:
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
\left \{ {{x-y=1} \atop {x+y=21}} \right. \ =\ \textgreater \  \  \left \{ {{x=11} \atop {y=10}} \right.
2. one number is 11, another number is 10.
3 0
2 years ago
Given vectors u = -9i + 8j and v= 7i + 5j find 2u -6v in terms of unit vectors i and j
Aloiza [94]

Answer: - 60i - 14j

Step-by-step explanation:

- 18i + 16j  - 42i - 30j = - 60i - 14j

7 0
2 years ago
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What happens to the value of the expression 3 y over <br> 2 y as y increases
vladimir1956 [14]
It starts becoming bigger :)
8 0
3 years ago
Order from least to greatest
Orlov [11]
Answer: 
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>; 

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 =  ¼ l  (less than "1"); the lowest of the three given values. 

The remaining two values have the same whole number of 3, and a fraction:
   3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40.   ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40.  3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;  
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖; 
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

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3 years ago
(50 pts!) Help pls<br><br>Find the value of x
Lera25 [3.4K]

Answer:

x = 3.5.

Step-by-step explanation:

This is an equilateral triangle ( as all angles = 60 degrees) so all 3 sides are of equal length.

Thus 2x - 3 = 4

2x = 7

x = 3.5.

4 0
2 years ago
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