R = robins cans
s = sara's cans
n = nick's cans
T = total cans
s = 5r
n = 6r
T = 216 = s + r + n
we sub in the first two equations into the first
216 = 5r + 6r + r
216 = 12r
r = 18
sub this back into equations 1 and 2
thus
r = 18
s = 90
n = 108
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
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.
Answer:
48.07 (brainliest answer?)
Step-by-step explanation:
'7' is the hundredth figure
3 is not 5 or over so it stays the same
You will need three roots for this, so we have
Let x = -30, -10 and +20
So the factors will be (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 * (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)
Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.
