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Anni [7]
3 years ago
13

What is the value for f(x)=4^2x-100 when x=2

Mathematics
2 answers:
11111nata11111 [884]3 years ago
4 0

Answer: f(2)=156

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following function:

f(x)=4^{2x}-100

2. Then, you must substitute x=2 into the function given in the exercise. Therefore, you have the following result:

f(2)=4^{2*2}-100\\f(2)=4^{4}-100\\f(2)=156

Papessa [141]3 years ago
3 0

Answer:

The value of f(2) = 156

Step-by-step explanation:

The given expression is  f(x)=4^2x-100

<u>To find f(2)</u>

when x=2  means we have to find the value of f(2)

Substituting the value of x as 2

f(x)=4^2x-100

f(2) = 4^(2*2) - 100 (Substitute the value of  x = 2)

f(2) = 4^4 - 100

f(2) = 4*4*4*4 - 100

f(2) = 256 - 100

f(2) = 156

Therefore the correct answer is  f(2) = 156

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Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []
kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

-4x = 16

x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

x - 4 = - (5x + 12)

x - 4 = - 5x - 12

x + 5x = -12 + 4

6x = -8

x = -4/3

Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

| -8 | = -20 + 12

8 = -8              

Thus, it is Not a solution

Now,  |x - 4| = 5x + 12

use x =  -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the  Solution.

Learn more about solving equations here:

brainly.com/question/18015090

#SPJ1

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Step-by-step explanation:

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Hope this helps!

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Step-by-step explanation:

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