F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
Step-by-step explanation:
5
Answer:
Part A = the middle one
Part B = 4 days
Step-by-step explanation:
1,300 / 4 = 325
325 x 4 = 1,300
Answer:
Step-by-step explanation:
mid point is basically the mean of the x coordiante and the y coordinate. that means that the x coordinate in M, whihc is -1, is the mean of the x coordinate in F and G. the x coordinate in F is -2, so that means that the x coordinate og G must be 0, because 0+(-2) / 2 = -1 so -1 is the x coordinate of G.
To find the y coordinate of G, do the exact same thing. the y coordinate of M is 3, and the y coordinate of F is 5, which means that the Y coordinate of G must be 1. so the points for G are:
(-1,1)
The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.
1). Days in May: 31
Days in a year: 365
Their ratio: 31/365 .
2). Sides of a triangle: 3
Sides of a square: 4
Their ratio: 3/4 .
The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.
3). 8/12 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . . 4/6
2. divide top and bottom by 4 . . . . . 2/3
3. multiply top and bottom by 9 . . . . 72/108
These are just some that I chose.
There are millions of others.
4). 20/25 Cook up three equal ratios.
1. divide top and bottom by 5 . . . . . 4/5
2. multiply top and bottom by 4 . . . . 80/100
3. multiply top and bottom by 3 . . . . 60/75
These are just some that I chose.
There are millions of others.
5). 5/6 Cook up three equal ratios.
1. multiply top and bottom by 2 . . . . 10/12
2. multiply top and bottom by 3 . . . .
3. multiply top and bottom by 9 . . . . 45/54
These are just some that I chose.
There are millions of others.
6). 10/14 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . 5/7
2. multiply top and bottom by 2 . . . .
3. multiply top and bottom by (you choose) . . . .
