Answer: y= -x + 15
Step-by-step explanation:
1.) Put the equation in 1 line: y= x + 3 - 2x + 12
2.) Subtract and add the x's together and the whole numbers together. (1x-2x) (3 + 12)
3.) Put the whole equation together again. y= -x + 15
You have to model both options.
1) The composition of function is applying one function to the result of the other.
2) f(x) composed with g(x) is (f ° g) (x) = f [ g(x) ] means apply the function f to the result of g(x).
3) g(x) composed with f(x) is (g ° f) (x) = g [ f(x) ] means apply the function g to the result of f(x).
4) Do both:
i) f (g(x) = 2 [ g(x) ] - 6 = 2 [ 5x + 1] - 6 = 10x + 2 - 6 = 10x - 4
ii) g (f(x) = 5 [ 2 (2x - 6) ] + 1 = 5 [ 4x - 12] + 1 = 20x - 60
5) Compare both outputs:
Is 20x - 60 > 10x - 4?
Solve the inequality:
20x - 10x > 60 - 4 ⇒ 10x > 56 ⇒ x > 5.6
Then:
i) for x = 5.6 both outputs are equal
ii) for x > 5.6 g(f(x) is greater
iii) for x < 5.6 f(x) is greater.
Answer:
a) 
b) DEF+ CBA =1AA9
Step-by-step explanation:
To find : a) Convert 1000 to hex
b) Add DEF to CBA.
Solution :
a) Convert 1000 to hex
First we convert base 2 into base 10,
i.e. 
Since, the digit 8 is same in both decimal and hexadecimal.
So,
b) Add DEF to CBA.
According to binary system,
A=10 , B=11 , C=12, D=13, E=14, F=15
Adding them with the following steps,
F=15 and A=10
So, 15+10=25
25 in hexadecimal is 19.
We put 9 at first place and forward 1 as a carry.
F=14 and B=11
So, 1+E+B=1+14+11=26
26 in hexadecimal is 1A.
We put A at second place and forward 1 as a carry.
D=13 and C=12
So, 1+D+C=1+13+12=26
26 in hexadecimal is 1A.
We put A at third place and forward 1 as a carry.
D E F
+C B A
-------------
1 A A 9
Therefore, DEF+ CBA =1AA9
Answer:
The price depends on the day in whivh business is faster I see. So take for instance Saturday and Sunday. More people are free on the weekend so they would raise prices when more people come along on the weekend.
D)a Because the square root and square cancel
