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:
Every angle of Square = 90°
diagonal bisects the angle in half.
=> angle FGI = 45°
=> 7x+3=45
=>7x=42
therefore, x=42/7=6
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
Answer:
1) 2019
2) 120-50=70
3) 2018
4) 100
5) 2018
6) 120-80=40
7) 2018
Step-by-step explanation:
1) 2019
2) 120-50=70
3) 2018
4) 100
5) 2018
6) 120-80=40
7) 2018
Answer:
15) 20.4
16) 40.4
17) 2.5
18) 32
Step-by-step explanation:
15) Use the calculator: 42.7/11.1*5.3
16) Use the calculator: 121.1/3
17) Use the calculator: 32.5/ (42.9/3.3)
18) 28.8/ (1.8/2)
