Answer:
44
Step-by-step explanation:
A=a+b
2h=6+5
2·8=44
The mode would be 1. Mode means the number that is shown the most
13/27 = ?/324
Since 324 divided by 27 is 12, you multiply 13 by 12 to get '?'
13*12= 156
13/27 = 156/324
? = 156
Answer:
x = −4
Step-by-step explanation:
Add x to both sides of the equation. x + 4 + x = − 4 Add x and x . 2 x + 4 = −4
Subtract 4 from both sides of the equation. 2 x = −4 − 4 Subtract 4 from - 4. 2x = −8
Divide each term in 2x = −8 by 2. 2x/2 = −8/2
Cancel the common factor. 2x/ 2 = −8/2 Divide x by 1. x = −8/2
Divide −8 by 2. x = −4
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that . Hence, it makes sense to define the positive number delta as (the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let , then . First, then hence
On the other hand, then hence . Combining the inequalities, we have that , therefore as required.