Answer:
slope = 7/5
y-int = -3
Step-by-step explanation:
this equation is in slope-intercept form. in thsi form, the slope will always be the coefficient of x, and the y-intercept will always be the last constant, or the "b" term (dont forget to include the negative!)
Firstly it's not a radical expression.
You can factorize the numerator x²+12x+36 = (x+6)²
Factorize the denominator 12x+72 = 12(x+6)
=(x+6)² / 12(x+6) , simplify. Answer = (x+6)/12
Answer:
$1.50 dollars per bag and at that rate it would be $7.50 for 6 bags of chips
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Answer:
x=4
Step-by-step explanation:
180-58=26x+18
122=26x+18
122-18=26x
104=26x
4=x