Answer:
See below
Step-by-step explanation:
Use 5 for "x" or "a number" and see if the inequality is true.
a) =3 < 5+11 < 2 . . . . false. 16 is not less than 2
b) 7·5 ≥ 35 or 4·5 < -12 . . . . true. 35 = 35
c) -7 + 2·5 = 3 is at most 2 . . . . false. 3 > 2
d) 5·5 +3 = 28 is between 2 and 30 . . . . true.
Answer:
Step-by-step explanation:
You'll divide the tip by the sub-total and multiply by 100
7/52.99 *(100) =13.21%
Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- <em>Separate the constant terms from the x by subtracting 25 from both sides.</em>
15x=100
15x/15=100/15 --<em> Isolate the x variable by dividing 15 from both sides.</em>
x=6.6.. <em>-- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15. </em>
x=6 Hours
We will begin by grouping the x terms together and the y terms together so we can complete the square and see what we're looking at.
. Now we need to move that 36 over by adding to isolate the x and y terms.
. Now we need to complete the square on the x terms and the y terms. Can't do that, though, til the leading coefficients on the squared terms are 1's. Right now they are 9 and 4. Factor them out:
. Now let's complete the square on the x's. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so add it into the parenthesis. BUT don't forget about the 9 hanging around out front there that refuses to be forgotten. It is a multiplier. So we are really adding in is 9*4 which is 36. Half the linear term on the y's is 3. 3 squared is 9, but again, what we are really adding in is -4*9 which is -36. Putting that altogether looks like this thus far:
. The right side simplifies of course to just 36. Since we have a minus sign between those x and y terms, this is a hyperbola. The hyperbola has to be set to equal 1. So we divide by 36. At the same time we will form the perfect square binomials we created for this very purpose on the left:
. Since the 9 is the bigger of the 2 values there, and it is under the y terms, our hyperbola has a horizontal transverse axis. a^2=4 so a=2; b^2=9 so b=3. Our asymptotes have the formula for the slope of
which for us is a slope of negative and positive 3/2. Using the slope and the fact that we now know the center of the hyperbola to be (2, 3), we can solve for b and rewrite the equations of the asymptotes.
give us a b of 0 so that equation is y = 3/2x. For the negative slope, we have
which gives us a b value of 6. That equation then is y = -3/2x + 6. And there you go!
Answer:
C. d= 1/6h
Step-by-step explanation:
2/3 dress in 4 hours
We need to find out how much of a dress can be finished per hour.
2/3 /4 = 2/12
2/12 ---> 1/6
d= 1/6h
Brainliest is much appreciated!
