Answer:
(B) The inequality that represents this relationship is 
Step-by-step explanation:
Let us assume the given number = x
⇒ 3 times the given number = 3 (x) = 3x
Square of the given number = 
Now, According to the question:
The difference of (3 x) and 15 is no less than 
⇒ 
or, 
Hence, the given inequality is represented as 
Answer:
300
Step-by-step explanation:
This is a place value problem.
The given figure is;
14, 397:
Pronounced as;
Fourteen thousand, three hundred and ninety seven:
14, 397;
10 000 ten thousand
4000 four thousand
300 three hundred
90 ninety
7 seven
The place value of 3 is hundreds.
Answer:
See explanation
Step-by-step explanation:
You have not provided the options to help us give you a specific answer.
If a quadratic function is written in the form

Then (h,k) is the vertex, and 'a' is a constant.
For instance

has vertex at (2,3).
Also, an absolute function in the form

has vertex at (h,k).
This means

also has vertex at (1,3).
I hope this explanation is helpful.
Answer:
Class Boundary = 1 between the sixth and seventh classes.
Step-by-step explanation:
Lengths (mm) Frequency
1. 140 - 143 1
2. 144 - 147 16
3. 148 - 151 71
4. 152 - 155 108
5. 156 - 159 83
6. 160 - 163 18
7. 164 - 167 3
The class boundary between two classes is the numerical value between the starting value of the higher class, which is 164 for the 7th class in this case, and the ending value of the class of the lower class, which is 163 for the 6th class in this case.
Therefore the class boundary between the sixth and seventh classes
= 164 - 163 = 1
Therefore Class Boundary = 1.
It can be seen that class boundary for the frequency distribution is 1.
If we take the difference between the lower limits of one class and the lower limit of the next class then we will get the class width value.
Therefore, Class width,
w = lower limit of second class - lower limit of first class
= 144 - 140
= 4