Answer:
7
Step-by-step explanation:
The rate of change is defined as
f(x2) - f(x1)
--------------------
x2-x1
x2 = 6
f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8
x1 = 4
f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6
Substitute the values into the expression
8 - -6
--------------------
6-4
8+6
------------
2
14/2= 7
Answer:
![Unused = \frac{1}{12}m](https://tex.z-dn.net/?f=Unused%20%3D%20%5Cfrac%7B1%7D%7B12%7Dm)
Step-by-step explanation:
Given
![Total= \frac{3}{4}m](https://tex.z-dn.net/?f=Total%3D%20%5Cfrac%7B3%7D%7B4%7Dm)
![Used= \frac{2}{3}m](https://tex.z-dn.net/?f=Used%3D%20%5Cfrac%7B2%7D%7B3%7Dm)
Required
Determine the part left
The part left is calculated using:
![Used + Unused = Total](https://tex.z-dn.net/?f=Used%20%2B%20Unused%20%3D%20Total)
![Unused = Total - Used](https://tex.z-dn.net/?f=Unused%20%3D%20Total%20-%20Used)
![Unused = \frac{3}{4}m - \frac{2}{3}m](https://tex.z-dn.net/?f=Unused%20%3D%20%5Cfrac%7B3%7D%7B4%7Dm%20-%20%5Cfrac%7B2%7D%7B3%7Dm)
Take LCM
![Unused = \frac{9m - 8m}{12}](https://tex.z-dn.net/?f=Unused%20%3D%20%5Cfrac%7B9m%20-%208m%7D%7B12%7D)
![Unused = \frac{1m}{12}](https://tex.z-dn.net/?f=Unused%20%3D%20%5Cfrac%7B1m%7D%7B12%7D)
![Unused = \frac{1}{12}m](https://tex.z-dn.net/?f=Unused%20%3D%20%5Cfrac%7B1%7D%7B12%7Dm)
Answer:
The blue area is y is less than or equal to 5
The purple area is y is greater than or equal to x.
The green area is less than or equal to 2.
Step-by-step explanation: The solid lines indicate that y=5, y=x. and x=2 Also the shaded regions would be y<5, y>x and x<2
Sorry my keyboard doesn't have the symbols for <= less than or equal to or greater than or equal to >= so I have to spell them out.
Answer: 24 band posters should be sold
Step-by-step explanation:
First take the expression down to its simplest form;
= 5:4
Assume she sells 30 movie posters, her movies posters drop to;
= 100 - 30
= 70 movie posters
We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.
In fraction form, the number of movie posters is;
= 5/9 because 9 would be the total number of both movie posters and band posters.
Create an expression to find the total number of posters if 70 are movie posters;
5/9x = 70
x = 70 ÷ 5/9
x = 126 posters
Number of band posters that should be left are;
= 126 - 70
= 56
Number of band posters that should be sold;
= 80 - 56
= 24 posters
<em>The new ratio would be 70:56.</em>
<span>Unless you have some other choices, I'd have to say Stratification, to make sure the groups are representative and heterogeneous.
I hope I helped.</span>