Answer:
So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions
Step-by-step explanation:
QUESTION 1
Given that:
,
,
and

Then;


Group similar terms;

Simplify;

QUESTION 2
Given that;
.

and

Substitute the functions;

Substitute x=3




QUESTION 3
Given:


This implies that;

Expand the parenthesis;


QUESTION 4
The given function is;

Let





The range is:



The interval notation is;

Answer:
95 ; 105
Step-by-step explanation:
Let :
Aanya's time = x
Krish's time = x + 10
Together = 50
Hence
Aanya's rate = 1/x
Krish's rate = 1/(x + 10)
Together rate = 1/50
Hence,
1/x + 1/(x + 10) = 1 / 50
((x + 10) + x) / x(x + 10) = 1/ 50
(2x + 10)/ x² + 10x = 1/50
50(2x + 10) = x² + 10x
100x + 500 = x² + 10x
x² + 10x - 100x - 500 = 0
x² - 90x - 500 = 0
Using the quadratic equation solver :
x = 95.24 ; x = - 5.24
Time can't be negative
Hence, x = 95 (nearest minute)
It takes Aanya 95 minutes Alone a ND
Krishna (95 + 10) = 105 minutes alone
Answer:
420 inches
Step-by-step explanation:
There are twleve inches in one foot.
(35) (12) = 420
The two numbers could be 8 and 9.
8×8=64 and 9×9=81.
81-64=17.