Answer:
The y intercept is (0,-1)
Step-by-step explanation:
To find the y intercept, let x = 0
y = -x^2 -6x-1
y = -0^2-6(0) -1
y = -1
The y intercept is (0,-1)
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤ 60 Combine the tax, tip, scone and Lattes
(1.17) * (4.5x + 3) ≤ 60 Divide by 1.17
4.5x + 3 ≤ 60 / 1.17
4.5x + 3 ≤ 51.28 Subtract 3
4.5x ≤ 48.28 Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72
Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer..
Answer: 10 <<<<
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
....go to the school for this lol kids
We want to get rid of the stuff in the denomenator
gcd of the denomenator is 2x
but wait, we can get rid of the deonmenator in the numerator by multiplying by 4x
muliplty the whole thing by 4x/4x
we get