Hello from MrBillDoesMath!
Answer:
Choice B ( (x+6)/5) )
Discussion:
y = f(x) = 5x - 6
To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in
x = 5y -6 => add 6 to both sides
x + 6 = 5y => divide both sides by 5
y = (x+6)/5
"y" above is the inverse, which is Choice B
Thank you,
MrB
The profit:
P = - 0.5 x² + 80 x + 190
The maximum profit will be at the vertex :
x = - b / 2 a = - 80 : ( 2 * ( - 0.5 )) = - 80 : ( - 1 ) = 80 ( in hundreds of dollars )
Answer:
The amount of money that will yield a maximum profit is $8,000.
Answer:
12m
Step-by-step explanation:
All you have to do in this problem is count 3m for every tree that passes. Since we are starting with the second tree, you can just count 3m for tree 2 to tree 3, then another 3m for tree 3 to 4, and so on until you get to tree 6. In total, your answer should be 12 m
:)
Y = -2x - 3
When I put this into y2-y1/x2-x1 (equation to find slope) I did the coordinate pairs (3,-9) and (4,-11). When you plug it in it’s -11+9/4-3. This gets you -2/1, which is -2. That’s your slope. Then, in order to get the y-intercept, you can use any of those pairs. I did -9 = 3(-2) + b. -9=-6 + b and in the end this gets you -3 = b. So the full equation is y = -2x - 3.
Answer:
<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>
Step-by-step explanation:
Let's recall that the formula for finding out the volume of a cone is:
Volume of a cone = π * r² * h/3
Replacing with the real values, we have:
diameter = 4 inches ⇒ radius = 2 inches
Volume of a cone = 3.1416 * 2² * 9/3
Volume of a cone = 3.1416 * 4 * 3
Volume of a cone = 37.7 cubic inches
