<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.
<span>The equation that can be used is 90-10y=5x. In order to get this answer, you first start with figuring out how many miles total were hiked for each trail. The 5-mile mountain trail total would be equal to 5x and the 10-mile canal trail total would be 10y. Adding both of these totals together would give you 90 miles and an equation of 5x+10y=90. All you do now is rearrange the equation by subtracting 10y from each side and you get 90-10y=5x.</span>
Answer:
Number of terms = 2
Step-by-step explanation:
- =
Answer: 4x² -4
Step-by-step explanation:
First, evaluate the exponent you'll get, + 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms, -4 +4x² turns into, 4x² -4!