Answer:
f( 1 ) = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.
f(x) = -4x + 7
f( 1 ) = -4( 1 ) + 7
f( 1 ) = -4 + 7
f( 1 ) = 3
Therefore, the output value is f( 1 ) = 3.
H = 151t - 16t²
The height of the ball when it return to the ground will be 0
0 = 151t - 16t²
The zero product property is that when two numbers are being multiplied and the product is 0, one of them must be equal to 0. Therefore, we can factorize this equation:
16t² - 151t = 0
t(16t - 151t) = 0
By the zero product property:
t = 0 or 16t - 151 = 0
So t = 0 or t = 9.44 seconds
The first solution is before he releases the ball and the second is when the ball comes back to the ground. Thus, the ball's air time is 9.44 seconds.
Answer:
2094.4 cm³
Step-by-step explanation:
The volume of a cone =πr²h/3
Where
r = radius = Diameter/2
Diameter = 20cm, radius = 20cm/2 = 10cm
Height = 20cm
Volume of a cone = π × 10² × 20/3
Volume of a cone = 2094.3951 cm³
Approximately to the nearest tenth = 2094.4 cm³
Therefore , the volume of a cone = 2094.4 cm³
Answer:
sup
Step-by-step explanation:
