Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Option (3) will be the correct option.
For this case we propose a system of equations:
x: Let the variable representing the length of the longer piece
y: Let the variable representing the length of the shorter piece
According to the statement data we have:

Substituting the second equation into the first we have:

Thus, the shorter piece is 30 cm.

Thus, the longer piece is 70 cm.
Answer:
The longer piece is 70 centimeters.
Answer:
Step-by-step explanation:
Terms
7
3d²
d⁴
Constant : 7
Coefficient of 3d² = 3
Coefficient of d⁴ = 1
198 cents.
Let current price of bread be x cents.
9(x-44) = 7x,
9x - 396= 7x,
2x=396, or x = 198.
Answer:
Because besides for the principal amount, it has a steady growth. In simple interest, it is a linear equation.
Step-by-step explanation: