Hello :
the line has a equation : y = ax (<span>a y intercept at (0,0))
the slope is : - 1/3 ( product the slope = -1 ..... a×3 = -1)
the equation is : y = (-1/3)x
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Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change =
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change =
=
= 30
Answer:
Step-by-step explanation:
All you need to do is isolate the x.
First, add 64 to both sides:
Then, take the square root of both sides:
Actually, that is:
Here's the reason for that. An example would be:
Here, you'd take the square root of both sides to solve for x.
Right? But X could also be a -2, because a negative times a negative is a positive.
Therefore, or
Step-by-step explanation:
y = 5x - 3 is in slope-intercept form.
The slope of this given line is 5,
=> Parallel line will also have slope 5.
We have y = 5x + c, where c is a constant.
When x = 4, y = 7.
=> (7) = 5(4) + c, c = -13.
Therefore the answer is y = 5x - 13.
Since the sides are congruent so are the angles (SSS) so 3x+3x+3x=180 because all the angles in a triangle add up to 180 degrees
9x=180
X=20
So the answer is x =20