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2 years ago

What is the solution to the equation 2^x+4 -12=20

Mathematics

1 answer:

ahrayia [7]2 years ago

7 0

Answer:

Step-by-step explanation:

What is the solution to the equation?

$2^{x}$ + 4 - 12 = 20

$2^{x}$ = 20 - 4 + 12

$2^{x}$ = 16 + 12

$2^{x}$ = 28

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Please help fast! The rate of change is constant in the graph. Find the rate of change in my question in Question 4. Points scor

frutty [35]

The rate of change is three. I believe.

8 0

3 years ago

5/8 divided 2 1/2 simply

Ksenya-84 [330]

Answer:

1/4

Step-by-step explanation:

Turn 2 1/2 into an improper fraction

5/2

Flip 5/2 to 2/5

Multiply 5/8 by 2/5

The answer is 10/40

Simplify

1/4

Hope this helped :)

5 0

2 years ago

Help me out please?? Tysvm!

Kamila [148]

Answer:

910 mL = 0.91 L

9.1 L = 9,100 mL

0.901 kL = 901 L

91 L = 0.091 kL

90.1 L = 90,100 mL

9,010 mL = 9.01 L

Step-by-step explanation:

6 0

3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

3 years ago

Niki wants to buy a dog bed the cost $87. She earns $6 per week for doing chores. How many weeks will Niki have to do her chores

Viktor [21]

Answer:

The answer to your question is 14.5 weeks

Step-by-step explanation:

Data

Total cost = C = $87

money earned = m = $6

Number of weeks to have the money = w = ?

Process

1.- Write an equation that represents the situation

Weeks = Total cost / Money earned

w = C/m

2.- Substitute the values

w = 87 / 6

3.- Result

w = 14.5

4.- Conclusion

Niki will last 14.5 weeks to have enough money to buy a dog bed.

7 0

2 years ago