A) 2x +3
Plug in the x
2(4.1) + 3
8.2+ 3= 11.2
A is 11.2
B) 16-5y
Plug in the y
16 - 5(2.3)
16- 11.5= 4.5
B is 4.5
C) x+y
Plug in x and y
4.1 + 2.3= 6.4
C is 6.4
Given the function 
. The above function can be written as
a)Now, the function 
has minimum value since the coefficient of 
is 
.
b) The minimum value of the function occurs at 
and its value is
c)The minimum value of the function occurs at .
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
========================================
Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
--------
At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
--------
We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Answer:
initial speed: 240 m/h
Step-by-step explanation:
48 m/h is the current speed which is the 20% of X
x (20 / 100) = 48
20x = 4800
x = 4800/20
x = 240 m/h
