Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.
The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.
The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).
The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120
(0+2)^3*(0-3)*k = 120
-24k = 120
k = -5
Combining all three conditions, f(x)
= -5(x+2)^3*(x-3)
= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)
= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)
= -5(x^4 + 3x^3 - 6x^2 - 28x -24)
= -5x^4 - 15x^3 + 30x^2 + 140x + 120
Answer:
Slope=14.000/2.000=7.000
x-intercept = 300/-7 = -42.85714
y-intercept = 300/1 = 300.00000
Step-by-step explanation:
The answers are as follows:
Box 1) D
Box 2) .02D
Box 3) D + .02D
Answer:
B
Step-by-step explanation:
If Sean wants to but both the muffin and cookie then this addition. 3 +m shows the correct expression. the answer is b
1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d
2) The equation that can be used to describe this situation is; a = 2b + 800
<h3>How to solve Algebra Word Problems?</h3>
Length of original piece = d
length of first piece = a
The second piece is twice as long as the first piece. Thus;
Length of second piece = 2a
The third piece is one inch more than five times the length of the first piece. Thus;
Length of third piece = 1 + 5a
Thus, equation for total length is;
a + 2a + 1 + 5a = d
2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.
If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;
a = 2b + 800
Read more about Algebra Word Problems at; brainly.com/question/4344214
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