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gavmur [86]
3 years ago
6

What is the solution to the following equation?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

The answer to your question is the letter B. x = 6

Step-by-step explanation:

Data

               4x² - 48x = -144

Process

1.- Equal to zero

               4x² - 48x + 144 = 0

2.- Multiply 4 by 144

             4 x 144 = 576

3.- Find the prime factors of 576

                     576   2

                     288   2

                     144    2

                       72    2

                       36   2

                       18    2

                        9    3

                        3     3

                         1

4.- Find two numbers that added gives -48,

     these numbers are -24 and -24

5.- Write the equation using these numbers

              4x² -24x - 24x + 144 = 0

6.- Factor by grouping

             4x(x - 6) - 24(x - 6)

7.- Factor by like terms

             (x - 6)(4x - 24)

8.- Find the solutions

              x - 6 = 0           4x - 24 = 0                            

              x = 6                   4x = 24

                                        x = 24/4

                                        x = 6

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Step-by-step explanation:

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2 years ago
See the question attached. Please help
Lelu [443]

Answer:

1) 36

2) 190

3) 72 units

Step-by-step explanation:

1)  2x4 = 8 units area for rectangle

(4-2) x4 /2 = 4 units

6 x 4 = 24 units

8 + 4 + 24 = 36

2) 3 x 10 / 2 = 15 units

   5 x 10 /2 = 25 units

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If someone could help me with this problem
liraira [26]

The equation of the given Absolute Value Function is; y = |-2x + 4|

<h3>How to interpret Linear Graphs?</h3>

We can see that the given graph is a Linear graph but since it is V-shaped, we can say that it is a graph of an absolute value function.

Now, from the graph we see that;

At x = 0, y = 4

At x = 1, y = 2

At x = 2, y = 0

At x = 3, y = -2

At x = 4, y = 0

At x = 5, y = 2

We can see that the y-intercept is at y = 4.

Slope between two consecutive points is;

(2 - 4)/(1 - 0) = -2

Equation is; y = -2x + 4

Now, this is an absolute value function and as such we will write it as;

y = |-2x + 4|

Read more about Linear Graphs at; brainly.com/question/4025726

#SPJ1

5 0
2 years ago
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