Answer:
x = -1
Step-by-step explanation:
-4(3x-7) =40
Divide each side by -4
-4(3x-7)/-4 =40/-4
3x-7 = -10
Add 7 to each side
3x-7+7 = -10+7
3x = -3
Divide each side by 3
3x/3 = -3/3
x = -1
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
You are going to pay for a total of 22 months, so the answer will be 12*22. This equals $264, or the first option.
Answer: -75
Explanation: In this problem, we're given the function f(x) = 7x - 5 and we're asked to find f(-10).
To find f(-10) or the value of the function when <em>x = -10</em> we simply substitute -10 in for <em>x</em> in our function.
So we have 7(-10) - 5 or -70 - 5 which equals -75.
So f(-10) or the value of the function when <em>x</em> <em>= 10</em> is -75.
Since your answer to this problem was <em>a</em>, your answer is correct.
5(1+3g)
5(1) + 5 (3g)
5 + 15g
