Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = 
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = 
k = 3
For R = 6 and R = 18
k = 
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
Answer: The average velocity of the object over the time interval [3,6] is 20.
Step-by-step explanation:
Since we have given that
s(3) = 156
s(6) = 216
We need to find the average velocity over the time interval [3,6].
So, average velocity becomes
Hence, the average velocity of the object over the time interval [3,6] is 20.
Answer:
b. (1, 3, -2)
Step-by-step explanation:
A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.
It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:
a: -1 -5(1) +2(-4) = -14 ≠ -18
b: 1 -5(3) +2(-2) = -18 . . . . potential choice
c: 3 -5(8) +2(1) = -35 ≠ -18
d: 2 -5(-3) +2(0) = 17 ≠ -18
This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:
2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1
-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2
Given:
Normal price of a tv = $200
Coupon = 25% off
To find:
The money saved by Katherine.
Solution:
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.
Therefore, the money saved by Katherine is $50.
Answer:
M<1 80 by the corresponding angles postulate
Step-by-step explanation:
