The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
1/6=16.666666...
So it is 16.6666.... to 6(or 100)
Answer:
I see this
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
So the answer is none of these.
Please make sure you have the correct problem.
Step-by-step explanation:
A set of points is a function if you have all your x's are different. That is, all the x's must be distinct. There can be no value of x that appears more than once.
If you look at choice A, this is not a function because the first two points share the same x, which is -3.
Choice B is not a function because the first and last point share the same x, which is 6.
Choice C is not a function because the last two points share the same x, which is 3.
Choice D is not a function because the first and last choice share the same x, which is -3.
None of your choices show a function.
If you don't have that choice you might want to verify you written the problem correctly.
This is what I see:
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
