Answer:

Step-by-step explanation:

Divide both sides by
:

Simplify:

Answer:
y = 3, x = 3
Step-by-step explanation:
5x – 3y = 6
5x = 6 + 3y
x = (6 + 3y)/5
3x + 4y= 21
3x = 21 - 4y
x = (21-4y)/3
Using simultaneous equations:
(21-4y)/3 = (6 + 3y)/5
--> 105-20y = 18 + 9y
29y = 87
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.
0≤k. Knives sold cannot be negative.
So the range of profit or p is:
p=[-500, +oo)
Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.
4000=200k-500
4500=200k
k=22.5
Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100