Answer:
A
Step-by-step explanation:
A por que es la respuesta correcta
Answer:
(3,8): No, (-1,-11): Yes, (2,7): Yes, (0,-6): No
Step-by-step explanation:
Basically, you just substitute x and y with the numbers given.
18x - 3y = 15
y = 6x - 5
(3,8):
18(3) - 3(8) = 15
54 - 24 = 30 It is not equal to 15, so it does not work.
y = 6x - 5
8 = 6(3) - 5
8 = 13 It is not equal to 8, so it does not work.
Therefore, (3,8) is not a solution.
Try this for every pair and you will find that (-1,-11) and (2,7) are solutions.
I hope this helps!
Answer:
16.73 to nearest hundredth.
Step-by-step explanation:
The geometric mean of x and y is √xy.
So out geometric mean is √(14*20)
= √280
= 16.7332
Answer:
11
Step-by-step explanation:
The average price of the 20 shirts is 600/20 = $30 each. So, we know that we can sell 20 shirts for $30 each to reach the goal.
For each $25 shirt we sell, we must also sell a $35 shirt to make the average price of the sale be $30 per shirt. That is any or all of the 10 pairs of $30 shirts can be replaced by a ($25, $35) pair. So, there are 10 additional ways to reach the goal.
The total number of possible combinations of shirt sales is 1 +10 = 11.
Answer:
34.43
Step-by-step explanation:
A differential of length in terms of t will be ...
dL(t) = √(x'(t)^2 +y'(t)^2)
where ...
x'(t) = 4cos(4t)
y'(t) = 7cos(7t)
The length of c(t) will be the integral of this differential on the interval [0, 2π].
Dividing that interval into 10 equal pieces means each one has a width of (2π)/10 = π/5. The midpoint of pieces numbered 1 to 10 will be ...
(π/5)(n -1/2), so the area of the piece will be ...
sub-interval area ≈ (π/5)·dL((π/5)(n -1/2))
It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.
__
The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.
The length of the curve is estimated to be 34.43.