Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
Answer:
A: -41/9
Step-by-step explanation:
Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.
-5 = -1/9(4) + b
-5 = -4/9 + b
Solve for b:
b = -41/9
Our equation: y = -1/9(x) - 41/9
Answer:
1: 11√3 - 7√6
2: 11√3 - 7√6
3: -9
4:12
Step-by-step explanation:
To add radicals they need to have the same radical part for the first one we have
7√3- 4√6 + √48 - √54
We can simplify the last two into 4√3 and 3√6
So we have 7√3 - 4√6 + 4√3 - 3√6
adding similar radicals we get
11√3 - 7√6
For the second one we have 11√3 - 7√6
There's nothing we can do from here so keep that as your answer
This one is quite easy -3√9
square root of 9 is 3
so we have -3*3 which is -9
next is
4√9
same deal as the one before
3*4=12