<h3>
Answer: Choice B) x = 1</h3>
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Explanation:
The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.
Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x
3-x = 2
3-x+x = 2+x .... adding x to both sides
3 = 2+x
2+x = 3 ..... flipping both sides
x+2 = 3
x+2-2 = 3-2 .... subtracting 2 from both sides
<h3>x = 1</h3>
You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.
the equation's squared variable is the "x", namely x², so we're looking at a vertical parabola, and thus its axis of symmetry will be a vertical line that runs through its vertex, so
Check the picture below.
Your answer would be ΔAED and ΔCDE
I hope I helped :)
- Shay❤
Answer:
5
Step-by-step explanation:
Basically, we need to find the number that 443,520 is divisible by out of our four choices. Let's try to divide 443,530 by each of our choices.
443,530 / 3 = 147843.3333.....
443,530 / 4 = 110882.5
443,530 / 5 = 88706
Therefore, the answer is 5.
Another way to solve this question is to apply the divisibility rules of the four choices. Automatically, if you know that the divisibility rule of 5 is that the number must end in either 5 or 0, you will know that the answer is 5 because the number 443520 ends in 0.
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216
Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc. There 27 of them.
Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .