5 2a 22 +22+1 1+ 22 +4a+3
1 answer:
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Answer: x = 2
Step-by-step explanation:
Replace y in the first equation by the value of y in the second equation.
The worth of boat after 11 years is $ 3159.3013
<em><u>Solution:</u></em>
Given that,
Boat costs $16600 and decreased in value by 14% per year
To find: Worth of boat after 11 years
<em><u>The formula for decreasing function is given as:</u></em>
Where,
y is the value after "t" years
t is the number of years
a is the initial value
r is decreasing rate in decimal
<em><u>From given,</u></em>
a = 16600
t = 11
<em><u>Substituting the values we get,</u></em>
Thus the worth of boat after 11 years is $ 3159.3013
We are given parabola equation y=x^2-10x+30.
We need to convert it in vertex form y= a(x-h)^2+k.
We need to find the value of a, h and k to get the vertex form.
For the given equation y=x^2-10x+30, the coefficient of x^2 is 1.
Therefore, a=1.
Now, let us find values of h and k.
h = -b/2a.
h = -(-10)/2(1) = 5.
Plugging x=5 in given equation to get the value of k.
y= x^2-10x+30 => (5)^2 -10(5) +30 = 25 -50 +30 = 5.
Therefore, k =5.
Therefore, vertex (h,k) = (5,5).
<h3>So, the vertex form is </h3>