Answer:
Step-by-step explanation:
We are given the polynomial:
And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):
This must equal zero. Hence:
In conclusion, <em>k</em> = 34/3.
Answer:
x=8
Step-by-step explanation:
a
x+2=7x-3
x+7x=3-2
8×= 1
×=8
b
13y+25=8y+5
13y+8y= 25+5
21y=30
y= 30-21
y=11
<h3><u>The function that represents the price P of the car after x years is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The decreasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is decreasing rate in decimal
t is time period
From given,
a = 25000
number of years = x
future value = P
Therefore,
Thus the function is found
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