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:
Total space in the box is 75.2 cm³.
Step-by-step explanation:
Cone:
- It is three dimension shape.
- It has a vertex.
- The slant height of a cone
,
= slant height, r= radius of the base, h= height - The lateral surface area is πrl
- The volume of a cone is
.
The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.
So, the volume of the cone is =

cm³
The volume 1 dozen carrots is = (12×2π) cm³
=75.4 cm³
The volume of the box= The volume of the 1 dozen carrot.
Total space in the box is 75.2 cm³.
Well you said the Coordinates of F (7,-2) rotated 90 degrees
Answer:
g(x) = (x - 2)^3 - 4
Step-by-step explanation:
first, the function f is shifted to the right by 2 units and then shifted up by 4 units
Answer:

Step-by-step explanation:
Given


Required
Find g(3)
Since g(x) is a linear function, then:

For: 





For: 




Substitute 



So, the function is:


Calculate g(3)


