117, just add the two and subtract from 180
Replace m with each number in the given set and solve for d(m)
m = 0
d(m) = 7-2(0) = 7-0 = 7
m=1
d(m) =7-2(1) = 7-2 = 5
m = 2
d(m) = 7-2(2) = 7-4 = 3
m=3
d(m) = 7-2(3) = 7-6 = 1
The answers in order from smallest to largest are 1, 3, 5,7
The correct answer would be F.
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
#SPJ1
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
✔ YES THEY ARE CONFIRMED
Answer:
27.73 cm
1. Find the area of the rectangle: 8x7=56 cm
2. Find the area of the circle: pi x 3 squared= 28.2743338....cm
3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm
4. Round to the nearest hundredth: 27.73 cm
