Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Answer:
Width x height x length
Step-by-step explanation:
You just multiply the width times the height times the length.
Answer:
137473735858884506343
Step-by-step explanation:
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
20.24 cm
Step-by-step explanation:
Here, since the age of the crab is given in months and the regression line was computed using the age in months, we just have to replace the value of the age in the formula to estimate the size.
The formula obtained for the estimated size Y was
Y = 9.1411 + 0.4775X
where X is the age in months
Replacing X with 23.2417, we get
Y = 9.1411 + 0.4775*23.2417 = 20.24 cm
