Log of 2x cube - log x = log 16 +log x
Use the identities!
Log 2x square = log 16x
2x square = 16 x
2x sqr - 16x = 0
2x(x-8) = 0
X = 0 or 8
According to logarithms x can’t be 0 so it’s 8
Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1
Answer:
D
Step-by-step explanation:
Answer:
3/x + 2/(x+1) = 3/5x
[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)
3 · 5(x + 1) + 2 · 5x = 3(x + 1)
15x + 15 + 10x = 3x + 3
15x + 10x - 3x = -15 + 3
22x = -12
x = -12/22 = -6/11
Answer:

Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to
and
(doesn't matter which you assign) and use the slope formula:

Let:

The slope is equal to:

Therefore, the slope of this line is -1. In slope-intercept form
,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

Using the slope formula:

Thus, the slope of the line is 1/3 and the other line must have a term with
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into 