we know that

we have

substitute the value of
in the expression above

therefore
<u>the answer is</u>

Answer:
quotient: 4x^3 -4x^2 -x +6
remainder: 3
Step-by-step explanation:
See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.
Step-by-step explanation:
Recall that for a quadratic equation y = ax² + bx + c in the X-Y plane, the x-location of the vertex (i.e maximum or minimum point) is given by
x @vertex = -b/2a
in this case your quadratic equation is
h = 4 + 20t - 5t² (rearranging in the form y = ax² + bx + c )
h = - 5t² + 20t + 4
hence a= -5, b = 20 and c = 4
applying the formula for vertex
t @ vertex = -b /2a = -(20) / (2)(-5) = -20/-10 = 2
therefore t = 2
Answer:
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Step-by-step explanation: