<u>The present age of the man is 36 years and his son is 11 years.</u>
Answer:
Solution given:
let the age of man be x.
and his son be y.
By question
x-6=6(y-6)
x=6y-36+6
x=6y-30. ......(1)
and
3(x+4)=8(y+4)
3x+12=8y+32
3x=8y+32-12
3x=8y+20. ...(2)
substituting value of x in equation 2 ,we get
3(6y-30)=8y+20
18y-90=8y+20
18y-8y=90+20
10y=110
y=110/10
y=11 years
again substituting value of y in equation 1 we get
x=6*11-30
x=66-30
x=36 years
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
brainly.com/question/24062595
#SPJ1
Answer:
A system of linear equations will have exactly one point of intersection, for example:
2x+y=5
-x+y=2
However, a system of linear equations with no solution will have no points of intersection, for example:
-4x+10y=6
2x-5y=3
Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe
And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)
I attached a photo below, and one of how to graph it
Answer:
B
Step-by-step explanation:
that way when surveying everyone she’ll know the exact number
