1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.
You might be interested in
Help 6.5.AP-23 There were 675 people in line for a rock concert. Only 486 people got into the concert. Select the percent of peo
mina [271]

Answer:

D. 28%

Step-by-step explanation:

675 people - 486 people that got in = 189 people left out

189 people out of 675 people = 189 / 675 = 0.28 or 28%

8 0
3 years ago
Find the greatest common factor of each set of numbers 27,36,72
7nadin3 [17]
The answer is to the question is 9
6 0
3 years ago
Read 2 more answers
The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the n
Setler79 [48]
R = sqrt 3 * (V /( pi * h))
V = 62.8
pi = 3.14
h = 15
now we sub
R = sqrt 3 * (62.8 / (3.14 * 15)
R = sqrt 3 * (62.6 / 47.1)
R = sqrt 3 * 1.33
R = sqrt 3.99
R = 1.9 rounds to 2 inches <===

3 0
3 years ago
Read 2 more answers
You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, a
kolbaska11 [484]

Answer:

Step-by-step explanation:

tryin to cheat in workkeys

5 0
3 years ago
How do you find derivative of a function with two variables.
Leno4ka [110]

A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.

8 0
2 years ago
Other questions:
  • A manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a cl
    11·1 answer
  • Graph the linear equation and answer each of the following questions. y=-2x-3 (A)What is the y-intercept?
    12·1 answer
  • This box can be packed with 48 unit cubes the unit cube is 1 meter what the volume of the box
    9·2 answers
  • PLZ ANSWER THE QUESTION FROM THE PICTURE ASAP <br>20 POINTS ​
    12·1 answer
  • When x = 7. Which expression is equivalent to 6x + 4x?
    12·1 answer
  • Help me plez........
    10·1 answer
  • The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days wil
    14·1 answer
  • Find all zeros.<br><br> I’m having a complete brain fart
    13·1 answer
  • Solve each system by using substitution. <br> 3x - y = 4<br> x + 5y = -4
    6·1 answer
  • Factor the expression completely.<br> -48-56x
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!