Answer: The polynomial
= y² - 5y - 4.
Step-by-step explanation:
Let the polynomial = f(y)
Therefore
y² -5y + 1 - f(y) = 5
f(y) = y² - 5y + 1 - 5
f(y) = y² - 5y - 4
The polynomial = y² - 5y - 4.
Check:
y² - 5y + 1 - ( y² - 5y - 4)
Open the bracket with the minus
y² - 5y + 1 - y² + 5y + 4
y² - y² - 5y + 5y + 1 + 4
= 0 - 0 + 5
= 5.
6.It is a rational quotient. You know because 24 tim bits divided by four friends equals six.
9514 1404 393
Answer:
Step-by-step explanation:
The system of equations can be written ...
n + d = 20 . . . . . . . . coins in the jar
5n +10d = 130 . . . . . value in cents
_____
Using the first equation, we can write an expression for n:
n = 20 -d
We can substitute this into the second equation:
5(20 -d) +10d = 130
100 +5d = 130 . . . . . . simplify
5d = 30 . . . . . . . . . . . . subtract 100
d = 6 . . . . . . . . . . . . divide by 5
n = 20-d = 14
The jar contains 14 nickels and 6 dimes.
ANSWER

EXPLANATION
The given line passes through (1,4) and (3,-4).
The slope of this line is calculated using the formula:

We substitute the points into the slope formula to get:



We substitute the first point and slope into the point-slope formula

This implies that

We expand to get



Set up:
(-32+8i)/(5+3i) * (5 - 3i)/(5-3i)
Keep in mind that i^2 = -1.
Take it from here.