12:00-9:30 = 2:30
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2
Answer:
A.
Step-by-step explanation:
124 * 11 = 1364
1364 + 328 = 1,692
Answer:
x = 2, y = 6
(2, 6)
Step-by-step explanation:
The system of equations is solved when we find the "x" and "y" pair that is true for both equations.
We can use elimination, which is when we eliminate one of the variables. This can be done when both equations have a variable that has the same number.
Make both equations have "12y". Multiply each term by the same number.
-7x + 4y =10 }x3 => -21x + 12y = 30
-5x + 3y = 8 }x4 => -20x + 12y = 32
Subtract the equations from each other to get rid of 12y.
. -20x + 12y = 32
<u>- -21x + 12y = 30</u>
. 1x + 0y = 2 0y is nothing and 1x is x.
. x = 2 We have solved for x.
Now solve for y.
Use one of the equations:
-5x + 3y = 8 Substitute x for 2
-5(2) + 3y = 8 Simplify
-10 + 3y = 8 Start isolating x. Add 10 to both sides
3y = 18 Divide both sides by 3
y = 6 Solved for y.
The system of equations intersect at (2, 6).
Answer:
The probability that it is a vowel is 3/7
Step-by-step explanation:
For this we have to count the number of letters the phrase contains
"Mario kart on the Wii's fun" = 21
the phrase has a length of 21 letters
now we count how many vowels the phrase has
"Mario kart on the Wii's fun"
"aio a o e ii u" = 9
the phrase has 9 vowels
To know the probability we have to do the number of vowels over the number of letters
9/21
as it asks us that the fraction is reduced we have to simplify by 3
9 = 3*3 21 = 3*7
9/21 = 3*3 / 3*7
9/21 = 3/7