Alright, we know that the slope intercept form is y=mx+b, where x and y remain variables, m stands for the slope and b stands for the y intercept.
Because you should already have the slope from the first part (because slope is the same thing as rate of change), you should know that the slope is 60. The y-intercept should be your y value when x=0, and if you set up the equation in terms of years since Elliot has started his business, the year 2000 should be equal to x=0, so the y intercept should be equal to 750.
Now that you know the slope intercept form and what each part of it means, you can plug in what you have to get the final equation, which should be y=60x+750
Answer:
r<4
Step-by-step explanation:
-3(r-4)>0 step 1: distribute the -3
-3r+12>0 explain: -3 times r =-3r, -3 times -4 = 12
next, isolate the -3r by putting 12 on the other side
-3r+12>0 subtract 12 from both sides
-3r>-12 now, divide both sides by -3 (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4
so you should end up with r<4
Answer:
2 x 2 x 11
Step-by-step explanation:
Note that prime factors are numbers that cannot be reduced anymore, and, when multiplied together, would equal the original number.
44/2 = 22/2 = 11
2 x 2 x 11 = 44 ∴ 2 , 2, 11 are your answers.
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Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 . Divide 360 by 2 and you get 180.
