Answer:
your anserw is 1,300
Step-by-step explanation:
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Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is

<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For 
substitute




<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For 
substitute




<em>Find the positive difference between the a values for the two functions</em>
so

Answer:
a) 25 + 3x =45
b) 3x = 45-25
3x = 20
x = 20/3
x = 6.33
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Step-by-step explanation:
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
there are 7 verticles on this triangular prism