Answer:
9) x=58
10) r=4
11) m=4
12) p=3
13) x=6
14) x=-3
15) s=400
Step-by-step explanation:
9) x+2/5=12
x5 x5
x+2=60
-2 -2
x=58
10) 7r + 14 - 3r =30
-14 -14
<u>7r-3r</u>=16
4r=16
÷4 ÷4
r=4
11) 
m+2=6
-2 -2
m=4
÷ ÷
m=4
12) <u>2</u>(5p+9)=48
10p+18=48
-18 -18
10p=30
÷10 ÷10
p=3
13) <u>5</u>(2x-8)=20
10x-40=20
+40 +40
10x=60
÷10 ÷10
x=6
14)<u>6</u>(3-2x)=54
18-12x=54
-18 -18
-12x=36
÷-12 ÷-12
x=-3
15) 
-
=40
x5 x5
2s-=200
x2 x2
<u>2s-1s</u>=400
1s=400
÷1 ÷1
s=400
Answer:
Step-by-step explanation:
3^-6 × (3^4 ÷ 3^0)^2 = 3^-6 × (3^4 ÷ 1 )^2 {any number raise to zero = 1}
= 3^-6 × (3^4 )^2
= 3^-6 × (3^8) [ (a^m)^n = a^ m*n ]
= 3^ -6 + 8 = 3^2 = 3 * 3 = 9
Answer:
Step-by-step explanation:
In 2x/(x^2 - 1)1/2
Apply the property of natural log
ln x^m = m ln(x) move the exponent before ln
ln(m/n)= ln m - ln n
multiply 1/2 inside the terms
<h3>Answer:</h3>
3. R(x) = 25,500 -720x -12x²
<h3>Explanation:</h3>
Starting from 340 tickets, the number of tickets increases by 4 for each unit change in x. Hence, tickets sold will be (340 +4x).
Starting from $75, price per ticket decreases by $3 for each unit change in x. Hence ticket price is (75 -3x).
Revenue from ticket sales is the product of the number of tickets and the price at which they are sold:
... R(x) = (340 +4x)·(75 -3x)
... R(x) = 25,500 -720x -12x² . . . . . matches the 3rd choice
<span>The answer is 500 miles.
</span>
So how you go about this problem is to first write an equation for how much each company will cost.
For Company A, it costs $120 plus some more.
The some more part can just be written as .4x where x is the number of miles
(2 miles = .4+.4 = .4(2) =.8)
So for if the cost for Company A is "A"
Do the same thing for Company B but with the different numbers
<span>
</span>
Find the number of miles in a day at which the rental costs for Company A and Company B are <span>the same</span>
"The same" here means equal so set the two equations equal to each other (that means the cost of Company A=the cost of Company B or A=B)
Now use algebra to solve for x
<span>
</span><span>
</span><span>
</span>
<span>
</span>
The answer is 500 miles.
