<span>−(2n−6)
= -2n + 6
= -2(n - 3)
answer is </span><span>1. −2(n−3)
</span>
Answer:
Step-by-step explanation:
The standard form of a circle is
If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:
and
so
Our circle's equation is
Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:
Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because
If the inequality < were true then the point would lie inside.
Answer:
0.08
Step-by-step explanation:
Please use parentheses to indicate which operations must be done first. I 'm choosing to believe that you meant 7^(3x-1) and 5^(x-1).
Taking the common log of both sides, we get:
(3x-1)log 7 = (x-1)log 5
Then 3x·log 7 - log 7 = x log 5 - log 5
Grouping the x terms:
x(3·log 7 - log 5) = log 7 - log 5. We combine log 7 and log 5, obtaining log (7/5).
Then x(3·log 7 - log 5) = log (7/5).
Solving for x:
log (7/5)
x = ---------------------
3·log 7 - log 5
0.1461
x = ------------- = 0.08
1.0363
This agrees with the 3rd answer choice.
Answer:
36⁻⁹
Step-by-step explanation:
We evaluate double exponents from left to right.