Answer:
C. f(x)=3(1/2)^x
Step-by-step explanation:
standard form of a function is f(x)=ab^x
a should be 3, or the y value where the x value is 0
the b value is 1/2 because that's the rate of change
Answer:
4(a). C= 3 + 1.5x
b. 'x' stands for the number of times the cup is refilled.
c. 3 + 1.5 (5)= $10.50
d. My answer to part (c) makes sense because the price of the cup is $3, and I have to pay $1.50 for each additional refill, in accordance to the formula I wrote.
Step-by-step explanation:
The original price of the cup is 3 dollars, but with each refill you get, you have to pay $1.50.
Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.
Angle A = 90 degrees
Angle A m B and the 59 forms a straight line which needs to equal 180
Angle B = 180 - 59 - 90 = 31
Angle B = 31 degrees.
Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.
Angle D is a vertical angle with 59, so equals 59 degrees.
Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
