Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
X² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.
Subtract 33 from both sides
x² - 14x = - 33
Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides
x² - 14x + 49 = - 33 + 49
Combine the constants and factor the trinomial
(x - 7)² = 16
Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4
You have to place a plus-minus statement because (- 4)² and 4² both equal 16.
Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11
13. 9:55
14. 8:10
15. 1 hour 45 minutes
16. 3:05
Step-by-step explanation:
<h2>Answer:</h2>
The first step will be <u>subtract</u><u> </u><u>3</u><u> </u><u>from</u><u> </u><u>each</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>model</u>.
<h3>Explanation:</h3>
By subtracting 3 from each side of the model, the 3 in the Right Hand Side will be cancelled, and the model will be:
2x = 5 - 3 = 2
Then the next step will be dividing 2 from each side of the model.
<h3>Solution:</h3>
2x + 3 = 5
By subtracting 3 to both the sides, we get
2x + 3 - 3 = 5 - 3
or, 2x = 2
By dividing 2 to both the sides, we get
2x/2 = 2/2
or, x = 1
<h2>Answer:</h2>
The value of x is 1.
