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
Solnce55 [7]
3 years ago
15

Photo attached! 15 points! Thank you in advance!!

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Result x= 4 (D) and x = -3 (F). You should follow these steps:

X² + 4x - 9 = 5x +3 => X² + 4x - 5x - 9 = 3  => X² - x - 9 -3 = 0

Base on (a +b)² = a² + 2ab + b² and (a+b)² = value => a+b = +/- Value so

X² - x - 9 -3  = 0 => X² - x - 12 = 0 => X² - 2x.1/2 + 1/2² - 1/2² - 12 = 0

(X -1/2)² - 1/4 - 12 = 0 => (X-1/2)²  - 1/4 - 48/4 = 0  => (X-1/2)²  = 49/4

(x-/12) = +/- 7/2  So x -1/2 = 7/2 or x -1/2 = -7/2

And result is x = 8/2 = 4 or x = -6/2 = -3


You might be interested in
What is it<br><br> −4(3/2x−12)=−15
Greeley [361]

Answer:

x = 21/2

Step-by-step explanation:

Step 1: Write equation

-4(3/2x - 12) = -15

Step 2: Solve for <em>x</em>

  1. Distribute -4: -6x + 48 = -15
  2. Subtract 48 on both sides: -6x = -63
  3. Divide both sides by -6: x = 21/2
3 0
3 years ago
Solve it guys !????<br>q.no 1 .b ​
saw5 [17]

Answer:

C

Step-by-step explanation:

the answer is C sense that makes the most sense with the problem

4 0
2 years ago
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
2 years ago
Which is equivalent to7^(3/2) over 7^(1/2)?
Doss [256]
The answer is c! you just subtract: 3/2-1/2, which is 1.
6 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet,
Harman [31]

First, let's list the lengths of the sides in descending order.

Lengths of sides of quadrilateral ABCD: 20, 18, 14, a

Lengths of sides of quadrilateral EFGH: b, c, 6, 5

From the listings above, we see that he sides measuring 14 and 6 are corresponding.

We are looking for c which corresponds to 18.

14 is to 6 is as 18 is to c

14/6 = 18/c

7/3 = 18/c

7c = 3 * 18

7c = 54

c = 54/7 = 7 5/7

Answer: 7 5/7 feet

5 0
3 years ago
Read 2 more answers
Other questions:
  • A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?
    9·1 answer
  • If you divide a number by 7 which number could the remainder not be 2, 5, 6, 8,
    15·1 answer
  • A twin-engine airplane has a speed of 300 mi/hr in still air. Suppose this airplane heads directly south and encounters a 50 mi/
    6·1 answer
  • A building has 40 apartments on 5 floors<br><br> what is the unit rate?
    5·2 answers
  • Jackie and Diane went to dinner at a nice restaurant and ordered seafood and salads. The following is their check:
    11·1 answer
  • Container A has 1600 ml of water and is leaking 12 ml per minute.
    7·1 answer
  • HELP WHAT IS THE SLOPE!!!!!
    10·2 answers
  • Find the value of x and y
    15·1 answer
  • Irrelevant answers will be reported. DUE TODAY!!!
    8·1 answer
  • The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the mi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!