I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:
base of 3 --> 3^4 (three to the fourth); base of 9 --> 9^2 (nine squared)
Step-by-step explanation:
<u>3 x 3</u> = 9 x <u>3</u> = 27 x <u>3</u> = 81 = 3^4
You multiply 3 by itself 4 times.
<u>9 x 9</u> = 81 = 9^2
You multiply 9 by itself 2 times.
Answer:
241
Step-by-step explanation:
Given the following :
Number of random samples surveyed = 45
Of the random samples surveyed, 21 expected to go on 3 vacations in the next year:
Total number of clients = 516
Percentage of random sample surveyed who intend to go 3 vacations in the next year :
(21 / 45) * 100
0.4666667 * 100 = 46.7%
That is 46.7% of surveyed sample intend to go on 3 vacations in the next year.
Therefore using these to make inference about the number of total client who will go on 3 vacations in the next year:
46.7% of total clients
(46.7 / 100) * 516
= 240.8
= 241 ( to the nearest whole number)
Answer:
If solving for x, the answer is x = -2b - 4.
Step-by-step explanation:
If solving for b, the answer is b = -2 - 
.
