The given fraction is:
We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10.
2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)
So, our fraction now becomes:
y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:
Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer
Answer:
Step-by-step explanation:
We normally think of the ordered pairs as ...
(x, y) = (x, -∛x)
Another way to think about them is ...
(x, y) = (-y³, y)
I find it a little easier to think about the cube of a number, rather than its cube root.
For the y-values given, -2, -1, 0, 2, the points that will be on the graph are ...
(8, -2), (1, -1), (0, 0), (-8, 2)
The first three of these points are listed in your answer choices.
Answer:
x = 2000 cameras
Step-by-step explanation:
C(x) Total cost in producing x units
C- = C(x) /x Average cost of producing x units x > 0
Cannon Precision Instrument
C (x) Total monthly cost for producing x units of M1 cameras
is C(x) = 0.0025x² + 80x + 10000
Then average cost of producing x cameras M1 is
C-(x) = ( 0.0025x² + 80x + 10000) /x
C-(x) = 0.0025x + 80 + 10000/x
Taking derivatives on both sides of the equation
C-´(x) = 0.0025 - 10000/x²
Then
C-´(x) = 0
( 0.0025x² - 10000 ) / x² = 0
0.0025x² - 10000 = 0
x² = 10000 /0.0025 x² = 4000000
x = 2000 cameras
Answer:
$6.23
Step-by-step explanation:
5.56*1.12=6.2272
Step-by-step explanation:
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
