Answer:
Proportionality Constant = k = 
Step-by-step explanation:
Equation is:

=> 
Comparing it with
, where k is the proportionality constant, We get:
Proportionality Constant = k = 
Answer:
The function only has one zero.
x = 1 actual coordinate (1, 0) on graph
Step-by-step explanation:
Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;

by cross multiply we get;

using distributive property;

Subtract 42.56x from both sides we get;

Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
Answer: -4
Step-by-step explanation:
2.5x = -10
1. divide -10 by 2.5
2. x = -4