Those are all lines...
So the x interval is from -2 to 3, because of x=-2 and x=3
The upper line is y(u)=4x and the lower line is y(l)=x-5
So the area between the two lines is:
A=⌠y(u)-y(l) dx
A=⌠4x-x+5 dx
A=⌠3x+5 dx
A=[3x^2/2+5x]
A=[(3x^2+10x)/2], x=[-2,3]
A=(1/2)(27+30-(12-20))
A=(1/2)(57+8)
A=(1/2)(65)
A=32.5 u^2
Answer:
senior citizen cost $4
children cost $7
Step-by-step explanation:
The question is not complete
<em>Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child ... The school took in $67.00 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?</em>
Given data
let senior citizens be x
and children be y
so
3x+9y= 75--------------1
on the second day
8x+5y= 67------------2
solve 1 and 2 above
3x+9y= 75 X8
8x+5y= 67 X3
24x+72y=600
-24x+15y=201
0x+57y= 399
divide both sides by 57
y= 399/57
y= $7
put y= 7 in eqn 1 above
3x+9*7= 75
3x+63= 75
3x=75-63
3x=12
x= 12/3
x= $4
<h3>
Answer: $44.10</h3>
====================================================
Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
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An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
Answer:45+60=15x+15x
Step 1: Simplify both sides of the equation.
45+60=15x+15x
(45+60)=(15x+15x)(Combine Like Terms)
105=30x
105=30x
Step 2: Flip the equation.
30x=105
Step 3: Divide both sides by 30.
30x/30= 105/30
x= 7/2
Answer:
x= 7/2
may i have brainliest please
