Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
So you follow the steps and i hope this will be easy for you .
Answer:
C) y = 60x
Step-by-step explanation:
Answer:
A. 5x - 1
Step-by-step explanation:
3x - 2
+ 2x + 1
------------
5x-1
x³ + 8x² + 11x - 20 ← the first on list
given the roots of a polynomial, say x = a, x = b and x = c
then the factors are (x - a), (x - b) and (x - c)
the polynomial is the product of the factors
f(x) = (x - a)(x - b)(x - c)
here x = - 5, x = - 4 and x = 1, hence factors are
(x + 5), (x + 4) and (x - 1)
f(x) =(x + 5)(x + 4)(x - 1) ← expanding factors gives
f(x) = (x² + 9x + 20)(x - 1) = x³ + 8x² + 11x - 20
