Answer:
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x
Where,
x = number of hours for renting the bike
Alyssa paid 50 dollars to rent a bike.
How many hours did she pay to have the bike checked out ?
C = 18 + 8x
50 = 18 + 8x
Subtract 18 from both sides
50 - 18 = 18 + 8x - 18
32 = 8x
Divide both sides by 8
32 / 8 = 8x / 8
4 = x
x = 4 hours
Let x represent the first even integer: x = 2(k) → y = 2k
Let y represent the second even integer: y = 2(k + 1) → y = 2k + 2
x · y = 48
(2k) · (2k + 2) = 48
4k² + 4k - 48 = 0
4(k² + k - 12) = 0
4 (k + 3)(k - 2) = 0
k = -3, k = 2 (Note: POSITIVE integers so k = -3 is ruled out)
x = 2k → x = 2(2) → x = 4
y = 2(k + 1) → y = 2(2 + 1) → y = 2(3) → y = 6
The smaller number (x) is 4
Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)=
which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in 
then it gives negative of .
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of 
which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.
24:4 in lowest terms would be 6:1
