The only point in the solution space is that of selection ...
C (1, 3)
C (1, 3)
Solve the inequality |x| < 5.
1 answer:
<h2>Hello!</h2>
The answer is:
{-5<x<5}
<h2>Why?</h2>To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.
We are given the inequality:
So, we know that "x" will be between -5 and 5:
Hence, the solution of the given inequality will be:
(-5,5) or {-5<x<5}
Have a nice day!
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Part A
We have
. To solve for the x-intercept, we set f(x) equal to 0. That is
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
.
Factor out -2
Complete the square
Simplify
Part C
We have
.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
We have
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
Factor out -2
Complete the square
Simplify
Part C
We have
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.