Answer: <em>Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.</em>
Step-by-step explanation:
To find the constant of proportionality, we use the formula k=y/x. So we have k=20/500 = 0.04.
The equation representing this situation will look like y=kx. Substituting in our value of k that we found, we have the equation y=0.04x.
We can use our equation to find the answer to this problem.
-3 > n is the same as n < -3 after you flip both sides and flip the inequality.
To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.
We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
Answer: 45z + 11
Explanation:
-9(-5z - 2) - 7
= 45z + 18 - 7
= 45z + 11
Step-by-step explanation:
7+5(x) ( between here write the greater than or equal to sign) -9
Answer:
18q^2 - 52q + 32
Step-by-step explanation:
We can use the Distributive Property to solve this.
(2q-4)(9q-8)
2q(9q) + 2q(-8) + -4(9q) + -4(-8)
18q^2 - 16q - 36q + 32
18q^2 - 52q + 32
18q^2 - 52q + 32
