Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
Relative minimum : -36
Relative maximum : 64
The rate of change is 336 greater
Step-by-step explanation:
Relative minimum are the minimum values in the interval
Looking at the graph, we find the lowest point in the interval
Relative minimum : (-3, -36) and (3,-36) y value -36
Looking at the graph, we find the highest point in the interval
Relative maximum : (0,64) y value 64
Average rate of change = f(x2) - f(x1)
---------------
x2 - x1
f(7) - f(5) 1469 - 549 920
------------- = --------------- = ------- = 460
7-5 7-5 2
f(4) - f(2) 287 - 39 248
------------- = --------------- = ------- = 124
4-2 4-2 2
We need to subtract
460-124
336
Answer:
Four
Step-by-step explanation:
Thus, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole. It is expressed as 1/4 and read as one over four or one upon four. If we consider two parts of the four equal parts of a whole it will represent 2/4 or two fourths, i.e. two one-fourth or half.