9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
An rational number, is a real number, that can be written in the form of p/q, where q is not equal to 0 or 1. A common misconception is that irrational numbers do not terminate; this is false. For example, 1/3 equals 0.3 repeating, but 1/3 can be written as p/q. As you can infer, an irrational number is a number, that cannot be written as p/q. One example is pi, or e.
I'm not sure what you're really talking about.
But I think you are talking about fractions.
In fractions there are two places
The number that goes on the top is numerator.
Answer:
The number of CDs sold last week was 84 and the number of CDs sold this week was 26
Step-by-step explanation:
Let
x ---> number of CDs sold last week
y ---> number of CDs sold this week
we know that
Last week she sold 6 more than 3 times the number of CDs that she sold this week
----> equation A
Ms. Lott’s sold a total of 110 CDs over the 2 weeks
----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x
therefore
The number of CDs sold last week was 84 and the number of CDs sold this week was 26
Based on the given situation, if x is number of kilograms of lobster, you can write the following expressions:
51 + 5x cost in the first restaurant
33 + 8x cost in the second restaurant
In order to determine the value of x which makes the cost the same in both restaurants, equal the previous expressions and solve for x:
51 + 5x = 33 + 8x subtract 33 both sides and 5x subtract both sides
51 - 33 = 8x - 5x simplify
18 = 3x divide by 3 both sides
18/3 = x
6 = x
x = 6
Hence, the weight of the lobster is 6 kg.
The cost of the dinner is:
51 + 5(6) = 51 + 30 = 81
Hence, the cost of the dinner is $81
