Answer:

Step-by-step explanation:
Given
, start by squaring both sides to work towards isolating
:

Recall
and
:

Isolate the radical:

Square both sides:

Expand using FOIL and
:

Move everything to one side to get a quadratic:

Solving using the quadratic formula:
A quadratic in
has real solutions
. In
, assign values:

Solving yields:

Only
works when plugged in the original equation. Therefore,
is extraneous and the only solution is 
Answer: 1 hour and 40 minutes
Explanation: Add all the time together and you get 100 minutes.
100 - 60 = 40
(I’m not very good at explaining it)
Answer:
The correct answer is C. 8.15%.
Step-by-step explanation:
Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:
(2,000 x 1.05) x 1.03 = X
2,100 x 1.03 = X
2,163 = X
2,000 = 100
2,163 = X
2,163 x 100 / 2,000 = X
216,300 / 2,000 = X
108.15 = X
108.15 - 100 = 8.15
Thus, the compound effect of both salary increases is a salary increase of 8.15%.
The x-intercept is defined to be the value of x when y is zero. Based on the graph of the function: f(x) = (x-4)(x+4), the x-intercepts are located at (-4, 0) and (4,0). At these points the graph intersects the x-axis. The midpoint of the x-intercepts is located at the middle of the two points. In this case, the graph shows that it is at the origin or at (0,0).
Answer:
x > 8
x < -16
Step-by-step explanation:
2x + 10 > 26
2x + 10 - 10 > 26 - 10
2x > 16
2x/2 > 16/2
x > 8
2x + 10 < -26
2x + 10 - 10 < - 26 - 10
2x < -36
2x/2 < -36/2
x < -16