You'll need to use parentheses here to convey this problem accurately to possible helpers. Unsure of whether you mean (9/2)k -3 or 9 / (2k-3).
I will assume that you mean:
9 4
------- = ---------
2k-3 k+1
Cross mult: 9k+9=8k-12, so k= -21.
If that's not what you expected, then try again to present the problem without ambiguities.
Answer: (-∞, 0)The graph of the parent absolute value function is decreasing over the interval (–∞, 0)
The graph drawn for the absolute value parent function is usually made up of two linear "pieces" which meet at a common vertex (the origin; 0, 0). The graph is symmetric around the y axis and generally takes a V shape or an inverted V shape. The absolute/relative minimum of the graph is 0 but there it has no absolute maximum; so the absolute maximum is usually represented by ‘∞’ (infinitive). Typically, the graph of the parent absolute value function is increasing over the interval (0, ∞), and is decreasing over the interval (-∞, 0).
X^2 + x - 6
------------- <= 0
x - 7
(x + 3)(x - 2)
---------------- <= 0
x - 7
2 critical values are x = -3 and x = 2
if x <= -3 the the function <= 0 so that's one part of the solution
also x >= 2
x must be < 7 if its = 7 then the function is indeterminate. and values between 2 and 7 will give negative valu to function
The answer is choice A.
Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
The equation is already solved
