Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Answer:
x-inercept = 1 y-intercept = -4
Step-by-step explanation:
Answer:
Statistic
Step-by-step explanation:
Generally, when we talk about statistic, we are talking about the characteristic of a sample. A statistic can be said to be a value which is calculated or computed from the values in a sample.
By applying mathematical functions in this case addition and division to the values present in the sample, we have what is now known as statistic.
Answer:
<em>y = (-mi/h)x + b</em>
y = total distance left to cover
-mi/h = speed at wich he is covering ground
b = the total distance to cover from start to finish
Step-by-step explanation:
Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept
<em>y = mx + b</em>
all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...
<em>y = (-mi/h)x + b</em>
note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD
<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with
160 x 4 =? ~a~
~b~ solve the equation i gave you
