What the above statement is saying is:
If the number is 4, find the difference between the square of the number (the number is 4) and the number itself (the number is still 4).
The square of the number is:
The number^2
= 4^2
= 4 × 4
= 16
The difference between the square of the number and the number is:
The number^2 - The number
= 16 - 4
= 12
Hope this helps! :)
Step-by-step explanation:
a)
total no. of pupils is not more than 24
therefore first equation is
(x+y) ≤ 24. ....(1)
No. of girls exceeding the no. of boys by atleast 4
(y-x) ≥ 4. .....(2)
b) Now Liza chooses 8 boys
Maximum no. of girls = ?
Using first inequality
y+8= 24 ( maximum value of less than or equal to function is equal to itself)
Therefore,
y= 24-8
=16
Minimum no. of girls = ?
Using second inequality
y-8 =4 (minimum value of greater than or equal to function is equal to itself)
Therefore,
y= 4+8
y=12
Answer:
a) 2linear inequalities
(x+y) ≤ 24
(y-x) ≥ 4
b) Max no. of girls = 16
Min no. of girls = 12
Hope it helps...
Answer:
-40, - 42 and -44
Step-by-step explanation:
The fastes way here is trying. Lets pick a number, intelligently, and then work on it.
We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:
(-42)+ (-44) + (-46) = - 132, so -42 no.
Lets go a step back: -40
(-40) + (-42) + (-44) = -126
So, the integers are -40, -42 and -44
Answer:
9. 16.34
10. 51.84
11. 20.11
12. 76.03
13. 64.09
just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)
Answer:
A
Step-by-step explanation:
To understand this, we can look at the vertical & horizontal translations of a parabola of the form 
- A vertically translated parabola has the form
, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative. - A horizontally translated parabola has the form
, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.
When we replace x of the original function with (x-1), we have 
. According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).
Correct answer is A.
