If you change the point's x-coordinate, the point will move either to the left or the right, depending on if the number you change is negative or positive.
Answer:
-0.8 and -8.2
Step-by-step explanation:
To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).
4x^2 + 24x + 13 = 2x^2 + 6x
2x^2 + 18x + 13 = 0
Then you can use the quadratic formula to solve for x. You will then come to
-18 ± sqrt(220) / 4
This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2
Answer:
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the amount of sodium in 1oz of chips.
y is the amount of sodium in 1 cup of soda.
Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.
This means that 
, also 
Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.
This means that:
From the first equation, we have that . So
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
Answer:
f-1(x)=x-7/3
Step-by-step explanation:
Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
- a b c d
- a b d c
- a c b d
- a c d b
- a d b c
- <u>a d c b</u>
- b a c d
- b a d c
- b c a d
- b c d a
- b d a c
- <u>b d c a</u>
- c a b d
- c a d b
- c b a d
- c b d a
- c d a b
- <u>c d b a</u>
- d a b c
- d a c b
- d b a c
- d b c a
- d c a b
- <u>d c b a</u>
To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24
