9 - 18
5 - 10
1 - 2
Work —
First line:
y = 2 (9)
y = 18
Second line:
10 = 2x
5 = x
Third line:
y = 2 (1)
y = 2
Answer:
Step-by-step explanation:
As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):
The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:
and pull out the perfect squares to get
Since there is a multiplier of 7 on the left, and both terms on the right are divisible by 7, I'd start by dividing the equation by 7
|8 - 3x| = 3x - 7
The absolute value function may or may not negate its argument. (The argument is negated if it is negative.) Hence this can resolve to two equations
-(8 -3x) = 3x -7
or
(8 -3x) = 3x -7
_____
Starting with the first of these, we can eliminate parentheses to get
... -8 +3x = 3x -7
Subtracting 3x from both sides gives the FALSE statement
... -8 = -7 . . . . FALSE
Thus, this version of the equation has No Solution.
Looking at the second of the equations above, we can add 3x to get
... 8 = 6x -7
Adding 7 and dividing by 6 gives
... (8 +7)/6 = x = 5/2
The solution is x = 5/2.
Answer:
It does not converge.
Step-by-step explanation:
The ratio between terms is 3/2, which is greater than 1, so the sum cannot converge. Each term added to the sum is larger than the one before it.
Answer:
Wilma has $12.
Step-by-step explanation:
Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.
We can just replace the x with 3 to get:
Hence, Wilma has $12.
