Answer:
h(2) = 0
Step-by-step explanation:
To evaluate h(2) , substitute x = 2 into h(x), that is
h(2) = - 2 + 2 = 0
The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
Answer:
Step-by-step explanation:
1) The solid is a cube. The formula for determining the volume of a cube is expressed as
Volume = s³
s = 5 cm
Therefore,
Volume = 5³ = 125 cm³
2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = lwh
l = 10 inches
w = 5 inches
h = 2 inches
Therefore,
Volume = 10 × 5 × 2 = 100 inches³
3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as
Volume = Area of square base × height
Area of square base = 3² = 9 m²
h = 10 m
Volume = 9 × 10 = 90m³
1,2,3,4,6,8,12,16,24,32,48,96
