Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
<em>Expand:</em>
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
<em>Expand</em>:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
<em>Simplify:</em>
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
Answer:
Kevin can drive 681 miles.
Step-by-step explanation:
In order to find the amount that he can drive in one day and only pay $250, we have to write an equation for the cost. Using x as the miles he drive, we can express the equation as:
y = .33x + 24.95
Now, we can plug in 250 for y.
250 = .33x + 24.95
225.05 = .33x
681.97 = x
Since we are looking for only whole miles, we have to round down to 681.
Answer:
k=0,5/4(fraction)
Step-by-step explanation:
I hope this helps! :) You need to divide both sides.
Answer:
5, 9, 13, 17, 21, .....
Step-by-step explanation:
To generate the sequence, substitute n = 1, 2, 3, 4, ..... into the rule
a₁ = 4(1) + 1 = 4 + 1 = 5
a₂ = 4(2) + 1 = 8 + 1 = 9
a₃ = 4(3) + 1 = 12 + 1 = 13
a₄ = 4(4) + 1 = 16 + 1 = 17
a₅ = 4(5) + 1 = 20 + 1 = 21