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
zalisa [80]
3 years ago
11

3 Select the correct answer. 52 + 51 + 6 For the rational equation, 1 + 3 = 1 what is a valid value of x? ОА. B. -1 O C. 2 O D.

3 Reset Next​

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

  \dfrac{x^2 +5x +6}{x+3}=1\qquad\text{given}\\\\\dfrac{(x+2)(x+3)}{x+3}=1\qquad\text{factor}\\\\x+2=1\qquad x\ne-3\qquad\text{cancel factors}\\\\x=-1\qquad\text{add $-2$}

The only valid value of x is -1.

You might be interested in
What is the value of x?<br> Enter your answer in the box.
AlekseyPX

Answer:

x=20°

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common
zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

a_n=a_1+d(n-1)

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

so

a_3=9

n=3

substitute

9=a_1+d(3-1)

9=a_1+2d ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

S=\frac{n}{2} [2a_1+(n-1)d]

we have

The sum of the first 8 term is 42

so

S=42

n=8

substitute

42=\frac{8}{2} [2a_1+(8-1)d]

42=4[2a_1+7d]

10.5=2a_1+7d ----> equation B

Solve the system of equations

9=a_1+2d ----> equation A

10.5=2a_1+7d ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

a_1=14\\d=-2.5

The first term is 14

The common difference is -2.5

8 0
4 years ago
Kendra was given three gift certificates for her birthday, each worth 333 points, for a music service. In the past Kendra has do
Grace [21]
Each song downloaded costs 3 points

each video costs 40 points

total of 999 points

if each song cost 3 points and she has 999 points to use she can download 333 songs at max
7 0
4 years ago
Read 2 more answers
I’m confused on this one
Anvisha [2.4K]

The triangles are similar. Set the two triangle's measurements equal to each other


8/10 = (x - 1)/(x + 2)


Cross multiply


8(x+ 2) = 10(x - 1)


Distribute the numbers


8(x) = 8x

8(2) = 16

10(x) = 10x

10(-1) = -10


8x + 16 = 10x - 10


Isolate the x. Subtract 16 from both sides, and 10x from both sides


8x (-10x) + 16 (-16) = 10x (-10x) - 10 (-16)


8x - 10x = -10 - 16


Simplify. Combine like terms


-2x = -26


Isolate the x. Divide -2 from both sides


-2x/-2 = -26/-2


x = -26/-2


x = 13


13 is your answer for x



hope this helps

5 0
3 years ago
Read 2 more answers
I need a step-by step explination on how to solve this problem. I really need some help!
Alex_Xolod [135]

Answer:$120

Step-by-step explanation:

85% of x= $107.27

.85x=107.27

Divide both sides by .85

X=126.20

Subtract the binder$6.20

3 0
3 years ago
Other questions:
  • Is the value of the first 4,10 times greater than then the second 4 in 4043?
    15·1 answer
  • A rectangle has a perimeter
    6·2 answers
  • Sandra's volleyball team has a total of 20 uniforms. 20% are medium sized uniforms. how many uniforms are medium sized
    9·2 answers
  • Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exa
    5·1 answer
  • Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on b
    11·2 answers
  • Will someone help me solve this ASAP please?
    9·1 answer
  • 12 thousandths written in scientific notation
    12·1 answer
  • Find the midpoint of A and B where A has coordinates (-5, 3)<br> and B has coordinates (3,-1)
    7·1 answer
  • Can anyone help me please
    6·2 answers
  • What is the range of the function y = x2? x ≥ 0 all real numbers y ≥ 0
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!