Answer:
D)
Step-by-step explanation:
f(x) = x^2 -14x -72
0=x^2 - 14x-72
0=x^2 - 18x+4x-72
0=x(x-18)+4(x-18)
0=(x-18)(x+4)
x-18=0 or x+4=0
x1=18 or x2=-4
asis of symmetry: x=(x1+x2)/2
x=(18+(-4))/2
x=14/2
x=7
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
Answer:
1.
÷
---> 
2.
---> 
3.
---> 
4.
--> 
Step-by-step explanation:
Given that:
1. 

Thus,
÷
=
÷ 
Flip the 2nd function, Q(x), upside down to change the process to multiplication.



2.
= 
Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:





3.
= 





4. 


Answer:
x = 15.75
Step-by-step explanation:
I'm going to assume you mean solve for x so:

Answer:
Step-by-step explanation:
The diagram of the right angle triangle is shown in the attached photo.
From the given right angle triangle,
AC represents the hypotenuse of the right angle triangle.
With m∠32 as the reference angle,
BC represents the adjacent side of the right angle triangle.
AB represents the opposite side of the right angle triangle.
To determine BC, we would apply
the Sine trigonometric ratio which is expressed as
Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is
Sin 32 = BC/9
BC = 9Sin32