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:
44, 6, and 24 are not perfect square
Step-by-step explanation:
Perfect square are numbers that can be square rooted with a result of a perfect whole number.
√16=4
√44= 6.63324...
√81= 9
√6= 2.44948...
√49= 7
√24= 4.898997...
I'm not sure which one is the scale size so i'll solve for both...
Ratio is 2cm:4m
0.02m:4m or 2cm:400cm also work as ratios
400cm/2cm=200 (so the scale is 200X smaller than the original)
Option 1::
If the scale of the item is:
l=12cm and w=6cm
then we can solve for the actual size by multiplying the values by 200
l=12cm*200=2400cm or 24m
w=6cm*200=1200cm or 12m
Option 2::
If the original item has a length of 12m and a width of 6m then:
l=12m and w=6m
We can find the scale length by dividing by 200
l=12m/200=.06m or 6cm
w=6m/200=0.03m or 3cm
Answer: Our required linear equation would be 
Step-by-step explanation:
Since we have given that
Cost of deep fried bananas on a stick = $1.00
Number of sales reached = 100 per day
Cost of deep fried bananas on a stick becomes = $2.00
Number of sales reached = 52 per day.
Let x is the number of dollars each.
Let y be the number of vendors sale.
So, we need to form the linear equation:
As we know the formula for two point slope form:
Hence, our required linear equation would be
