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
Yuliya22 [10]
3 years ago
13

Help me with this problem, please.

Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0

Answer:

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12 ⇒ C

Step-by-step explanation:

To solve this problem substitute m by 5x - 2 in each answer to find which one give you the equation of x

The given equation is (5x - 2)² + 35x - 14 = -12

Let us start with answer A

∵ m² - 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ - 7(5x - 2) = - 7(5x) + - 7(-2)

∴ - 7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² - 35x + 14 = -12 ⇒ Not equal to the given equation

Let us check answer B

∵ m² - 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ -7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² - 35x + 14 = 2 ⇒ Not equal to the given equation

Now let us check answer C

∵ m² + 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ 7(5x - 2) = 7(5x) + 7(-2)

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² + 35x - 14 = -12 ⇒ Equal to the given equation

Let us check answer D

∵ m² + 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² + 35x - 14 = 2 ⇒ Not equal to the given equation

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12

You might be interested in
What is the solution to the system of equations below?
Alekssandra [29.7K]
(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10
3 0
3 years ago
He graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Molodets [167]

The domain of the function is all real numbers, the range of a function is y ≤ 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say:

  • The domain of the function is all real numbers.
  • The range of a function is y ≤ 4
  • The x-axis intercept will be at (-6, 0) and (-2, 0).

Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
2 years ago
-2x-2+x^2+x+180+-2x-2=180
Dominik [7]

Answer:

x= 4, -1

Step-by-step explanation:

-2x - 2 + x^2 + x + 180 - 2x - 2 = 180

add like terms and put in descending order

x^2 - 3x + 176 = 180

subtract 180 from both sides

x^2 - 3x - 4 = 0

factor out the equation

(x-4)(x+1)=0

solve for x

x-4=0        x+1=0

x=4            x=-1

5 0
3 years ago
3y + 2x - 10 = 0 <br>find m​
Hitman42 [59]

Step-by-step explanation:

3y + 2x - 10 = 0

in standard form

2x + 3y -10=0

||

as (ax + by - c = 0)

m = -a/b

= -2/3

or

3y + 2x - 10 = 0

make y subject

y = -2/3x + 10/3

6 0
3 years ago
Hector works 12 hours per week at a part-time
iren [92.7K]

Answer:

b. $2.50

Step-by-step explanation:

Let us take a step by step approach by simplifying each sentence:

Sentence 1: Hector works 12 hours per week at a part-time  hours per week at a part-time job

Number of hours worked per week  = 12hours

Sentence 2:  His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour

   Pay per hour is 8hr, a raise of x gives 8 + x

Sentence 3: New total wage  = 12(8+x)

Sentence 4: Amount earned last week  =  $126

  New total wage = Amount earned last week

               12(8 + x ) = 126

                 96 + 12x  = 126

                          12x  = 126 - 96

                           12x  = 30

                             x = $2.50

Amount of raise is $2.50

8 0
3 years ago
Other questions:
  • Last year, Lisa biked 376 miles. This year, she biked m miles. Using m , write an expression for the total number of miles she b
    11·1 answer
  • What are means of 8/3 = 2/n
    10·1 answer
  • (b) After how many complete years will a starting capital of RM5 000 first exceed RM10 000 if it grows at 6% per annum?
    6·1 answer
  • Solve the triangle for x.
    14·2 answers
  • Bargain Feed Store has a markup rate of 14.1%. What price will the shop charge for a bag of horse feed that cost $12.22 wholesal
    8·1 answer
  • Let f(x)=x^2-2x-4
    14·1 answer
  • 1. An airplane took off and reached an altitude of
    10·1 answer
  • How would you do this problem?
    8·2 answers
  • (1,-4), (2,1), (3,4), (3,3), (4,2) is this a function?
    14·1 answer
  • What valur of x makes the equation below true? 9^5 * 9^7=9^x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!