The correct option is D:
the curves do not intersect, so there is no solution
<h3>
For what values of x are the two areas equal?</h3>
The area of the rectangle is given by:
f(x) = (x + 7)*(5x - 3)
f(x) = 5x² -3x + 35x - 21
f(x) = 5x² + 32x - 21
For the circle, the area is:
g(x) = 2*pi*(x + 6)^2
g(x) = 2pi*x^2 + 12pi*x + 72pi
The solution is given g(x) = f(x).
By graphing both functions (the green curve is the area of the rectangle, the orange one is the area of the circle). The two curves never do intercept, so the correct option is D.
If you want to learn more about areas:
brainly.com/question/24487155
#SPJ1
Answer:
4 days
Step-by-step explanation:
8 people can do the job in 6 days, job is this case is picking apples.
- The amount of the job (apples) is same and the only variable is number of people which changes the time accordingly.
1 person can do same job for 6*8= 48 days
12 people can do same for 48/12= 4 days
Answer:
12 m/s²
Step-by-step explanation:
mass of the car = 50 kg
The net force applied to the car is 800 - 200 = 600 N
Form the Newton's second law:
F = m*a
where F is the net force applied to the object, m is the mass of the object, and a is the acceleration of the object.
Then, the acceleration of the car (in m/s²) is:
a = F/m
a = 600/50
a = 12 m/s²
Answer:
The length and width are 11ft and 5ft respectively
Step-by-step explanation:
let the
length = L
Width = W
Area = LW = 55
The length is nine feet less than four times the width
L = 4W - 9
W (4W - 9) = 55
4W^2 - 9W -55 = 0
4W^2 - 20W + 11W - 55 = 0
4W(W - 5) + 11(W - 5) = 0
(W - 5)(4W + 11) = 0
W - 5 = 0 , 4W + 11=0
W = 5 or - 11/4
since the width cannot be negative, W = 5
LW = 55
L = 55/5
L = 11
The length and width are 11ft and 5ft respectively.
Here you should use the equation y - y1 = m(x - x1), where (x1, y1) are a point and m is the slope:
y - 1 = -3(x - 2)
I'm not sure if perhaps there's an error in the question or the re-typing but none of the answers stated above match the solution.
