2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.
x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x - 7 = 0 x + 2 = 7 + 2 = 9
x = 7
x + 1 = 0 x + 2 = -1 + 2 = 1
x = -1
there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>Let's consider the information given</u>:
- rental price: $30 + $0.30/mile
- total bill for Ken: $55.20
<u>Let's setup an equation for the cost</u>
- set 'x' as number of miles traveled

- set that equal to the total cost or bill and solve

Ken must have traveled 84 miles
<u>Answer: 84 miles</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Substitute -1 for x. 3(-1)-1=-4.
(B)
|sin(x)−sin(y)|=|2sin(x−y2)cos(x+y2)|≤|2sin(x−y2)|
You can set this up as an algebraic equation using the ratio:

=

where x = number of skiers
Cross multiply:
x + 1250 = 2x
Solve for x:
-x = -1250
x=1250
To find the number of snowboarders, add 1250.
1250 + 1250 = 2500
1250 skiers and 2500 snowboarders bought season passes.