Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
Answer:
Option B) There is a 3 percent increase in the savings account each year.
Step-by-step explanation:
we have
This is a exponential function of the form
where
M(x) represent the amount of money in a saving account
x represent the number of years
a is the original deposit (y-intercept)
b is the base
r is the rate or percent increase
The percent increase per year is the base of the exponential function decreased by 1.
so
In this problem we have
---> original deposit
Therefore
The percent increase per year is 3%
22.5 (shower) = X (variable used in place of the amount of water she uses to wash clothes) - 7.5 (the amount she used in the shower is 7.5 gallons less than she uses for washing clothes)
22.5 = X - 7.5 《 This is the equation.
Solve is by adding 7.5 to both sides to cancel out the negative 7.5 and you get (X = 30).
1 B 28 is not divisible by 3
2. C 12 is divisible by 12
3. 5 is the greatest common factor
4. 23 is prime
5. 47 is prime
6 4 is the greatest common factor
