Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
Answer:
9/2
Step-by-step explanation:
perpendicular lines have slopes that are opposite and reciprocal
the reciprocal of -2/9 is 9/2
Answer:
The volume of the shape is 560 ft^3
Step-by-step explanation:
To find the volume of the figure, we need to multiply the base area by the height of the figure
mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths
We have this as 8 ft * 10 ft = 80 ft^2
So multiplying this by the height which is 7 ft, we have this as;
7 ft * 80 ft^2 = 560 ft^3
Answer:
3, 5, 8, 13
Step-by-step explanation:
aₙ = aₙ₋₁ + aₙ₋₂
a₃ = a₂ + a₁ = 2 + 1 = 3
a₄ = a₃ + a₂ = 3 + 2 = 5
a₅ = a₄ + a₃ = 5 + 3 = 8
a₆ = a₅ + a₄ = 8 + 5 = 13
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1
