Answer: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Step-by-step explanation:
-2(x + 5) = 2 |use distributive property: a(b + c) = ab + ac
-2x - 10 = 2 |add 10 to both sides
-2x = 12 |divide both sides by (-2)
x = -6
Answer:
The function f has an inverse because it is one-to-one.
Step-by-step explanation:
The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.
Answer: The ratio of regular sodas sold to diet sodas sold is 9:7
Step-by-step explanation:
The restaurant offers diet soda and regular soda.
In one day they sold a total of 64 sodas. If 28 of the sodas they sold were diet sodas, the rest would be regular sodas. Therefore, the number of regular sodas sold will be 64 - 28 = 36 regular sodas. The ratio of regular sodas sold to diet sodas sold would be the number of regular sodas sold divided by the number of diet sodas sold. It becomes
36/28 = 18/14 = 9/7
Answer:
c
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and
b is the y-intercept.
y=mx+b
m=−3
b=0
y=-3x+0
