Answer:
x = 2.
Step-by-step explanation:
5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55
5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55
5[5x + 10] - x - 15 = 14x + 55
25x + 50 - x - 15 = 14x + 55 Now we subtract 14x from both sides:
25x + 50 - x - 15 - 14x = 14x - 14x + 55
10x + 50 - 15 = 55 Now we subtract 50, add 15 to both sides:
10x + 50 - 50 - 15 + 15 = 55 - 50 + 15
10x = 20
x = 2.
11,340 I believe. 5% of 8400 is 420. 420*7=2940 2940+8400=11340
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where
where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of
in our denomiator.
So right now we have
2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as
So we have as of right now.
Now let see if this passes throught point (6,-3).
So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get
Plug in 6 for the x values.
So our rational equation will be
or
We can prove this by graphing
Answer:
1 and 1/4 cups of floour is used to make one pie. Since 7 and 1/2 cups is used for 6 pies we divide the 7 and 1/2 cups by the 6 pies. 7 and 1/2 cups is equivalent to 15/ 2 cups. 15/2 divided by 6 is equal to 15/2 times 1/6. This comes out to 15/12, which simplifies to 5/4, which is equivalent to 1 and 1/4 cups
Let's see -
Let's solve the first question step-by-step
(WARNING - This may confuse you a little)
1)
4 1/8 + 2 1/3
= 33/8 + 2 1/3
= 33/8 + 7/3
= 155/24
= 6 11/24 --------> Note that this is your final answer and it already looks simplified down to its simplest form. :)
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2) This equation, as far as solving it, is no different than number 1. Let's go for it!
5 17/18 - 2 2/3
= 107/18 - 2 2/3
= 107/18 - 8/3
= 59/18
= 3 5/18 -----------------> This is your final answer, and, as before, it looks simplified enough.
↑ ↑ ↑ Hope this helps! :D
