Answer:
p=1/4
Step-by-step explanation:
4(p+5)=21
4p+20=21
4p=1
p=1/4
Answer:
f(9)=-2
Step-by-step explanation:
f(9)= -9+7= -2
Answer:
1.333 is more close to 1.5 than 1.25 .
Step-by-step explanation:
We are given:
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Which size will keep more of the original picture.
First divide 6 by 4: we get,
6/4 = 1.5 inches
This is the ratio to achieve.
Now divide 20 by 16
20/16 = 10/8
10/8 = 5/4
5/4 = 1.25 inches
Now divide 24 by 18
24/18 = 12/9
12/9 = 4/3
4/3 = 1.333 inches
1.333 is more close to 1.5 than 1.25 .
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.
