Answer:
3
Step-by-step explanation:
Answer:
Equation:
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' =
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8':
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides:
Subtract from both sides:
Multiply both sides by :
Solve for n: n = 112
Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Answer:
x^2 - 2x - 12 with remainder 12
Step-by-step explanation:
Synthetic division is the fastest way in which to carry out this division.
The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division. Setting up synthetic division, we get:
1 / 1 -3 -10 24
1 -2 -12
--------------------------------
1 -2 -12 12
The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:
The quotient is 1x^2 - 2x - 12 and the remainder is 12.
A is inbetween 2 and 4
B is inbetween 3 and 4
C is inbetween 4 and 5
D is inbetween 5 and 6
So the correct answer would be A B and C