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levacccp [35]
3 years ago
6

What is the solution to the equation 14 ^ (x + 3) = 21?

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
The answer to your question is b
sukhopar [10]3 years ago
5 0
\bf 14^{x+3}=21\implies log(14^{x+3})=log(21)\implies (x+3)log(14)=log(21)
\\\\\\
x+3=\cfrac{log(21)}{log(14)}\implies x=\cfrac{log(21)}{log(14)}-3

and surely you'd know what that is.
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The graph of y = |2 is shifted to the left by 6 units.<br> What is the equation of the new graph?
Tasya [4]

Answer:

From your question, I am assuming you are talking about an absolute value graph. In this case the answer would be y = |2 + 6|

Step-by-step explanation: Always remember, when you are graphing absolute value graphs:

When you shift left or right, you put the amount you are shifting inside the absolute value sign.

When you are shifting up or down, you put the amount you are shifting outside the absolute value sign.

When shifting left on a graph, you usually think of subtraction. However, when dealing with absolute value graphs, when you are shifting left, you use addition, as you can see in this problem.

The same goes for right. You use subtraction when shifting right, contrary to what you may think.

However, when you go up, you still use addition, and when you shift down, you still use subtraction.

3 0
4 years ago
how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
lora16 [44]

Answer:

3 quarts

Step-by-step explanation:

First, find how many quarts of antifreeze is in the mixture.

0.4 x 6 = 2.4

Now, make it into a fraction by putting the antifreeze amount over the rest so:

2.4/6

Now add + a at the end of the numerator and bottom to make:

2.4 + a/ 6 + a.

Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.

Now, make it an expression by adding = 3/5 at the end of the equation.

2.4 + a/ 6 + a = 3/5

Now, use cross multiplication.

12 + 5a = 18 + 3a

Now, solve the equation.

12 + 5a = 18 + 3a

-3a. -3a

12 + 2a = 18

-12. -12

2a = 6

/2. /2

a = 3.

Therefore, the answer is 3 quarts.

7 0
3 years ago
36= 4 times b raised to the second power
MariettaO [177]
B = 3

3 to the second power is 9, and 4 • 9 = 36.
4 0
3 years ago
When a baseball park owner charges $3.00 for admission, there is an average attendance of 100 people. For every $0.10 increase i
zloy xaker [14]

Answer:

$1

max rev = 80(4) = $320

Step-by-step explanation:

let us do this in pennies  

R = (100 - x/5)(300 + x)

d/dr = <u>-2x - 200</u>

               5

(-2x-200)/5 = 0  

-2x = 200

x = 100

           

6 0
3 years ago
Solve 5x + 2y = 7<br> 10x + 4y = 14
melisa1 [442]
They are parallel lines. they can't intersect.
7 0
4 years ago
Read 2 more answers
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