Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
We know that tanθ = sinθ/cosθ
For a number to be undefined, the denominator must equal to 0. At π/2, the cosθ value is 0 and sinθ is 1. Hence, tan(π/2) is undefined.
Hope I helped :)
Answer:
Step-by-step explanation:
First plot (3,1). Then use the slope to create the second point. Go up 1, right 2.
Next draw a line connecting the points. The line touches the y-axis at 0.
is the form you use.
~theLocoCoco
Answer:
A
Step-by-step explanation:
The graph cuts each other at x≈5.5 and x≈-0.75
Answer:
Step-by-step explanation:
<em>The question is mixed up with details of another question. See comment for original question</em>
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<u>Given</u>
Solving (a): Solve for time
We have:
Cross multiply
Make t the subject
Solving (b): Solve for distance
We have:
Cross multiply
