x = 7 and x = –7.
Solution:
Given data:
and
To find the solutions when f(x) = 64.
Both are equations of f(x), so equate the given equations, we get
To isolate the constant term subtract 15 from both sides.
49 can be written as 7².
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
The simplified expression is
Step-by-step explanation:
The radical expression to simplify is
We notice the following:
And using the property
we can write:
So the argument of the radical can be written as
And now by using the property
We find:
Learn more about simplification of expressions:
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Answer: -43.3
Step-by-step explanation:
We will use the order of operations, sometimes called PEMDAS. <em>See attached for more information on this subject</em>.
Given:
8.7 - (1 + 3)³ + 6 · 2
Simplify parentheses:
8.7 - (4)³ + 6 · 2
Raise to the power of three:
8.7 - 64 + 6 · 2
Multiply:
8.7 - 64 + 12
Subtract:
-55.3 + 12
Add:
-43.3
Answer: pages per hour.
Step-by-step explanation:
For this exercise it is important to know that, by definition, Direct variation equations have the following form:
Where "k" is the constant of variation.
Therefore, it is a straight line that passes through the origin.
In this case, given the graph attached in the exercise, you can follow these steps in order to find the constant of variation:
Step 1: You need to choose any point on the line. Let's choose the point (5,4).
Step 2: Now you must ubstitute the coordinates of that point into . Then:
Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:
