Answer: x=6
Step-by-step explanation: 3x-10+10=8+10 3x/3=18/3 x=6
<u><em>Answer:</em></u>
D. 60
<u><em>Explanation:</em></u>
<u>The general form of the quadratic equation is:</u>
ax² + bx + c = 0
<u>The given equation is:</u>
3x² + 6x = 2
This can be rewritten as:
3x² + 6x - 2 = 0
<u>By comparison, we can find that:</u>
a = 3
b = 6
c = -2
<u>Now, the discriminant of a quadratic equation is given by:</u>
b² - 4ac
<u>Substitute with the given values to get the discriminant for the given equation as follows:</u>
b² - 4ac = (6)² - 4(3)(-2)
= 36 - (-24)
= 36 + 24
= 60
Hope this helps :)
Answer:
Step-by-step explanation:
Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took
Emanuel to drive from home back to college would be (11 - t) hours.
Emanuel drove home from college traveling an average speed of 70 mph.
Distance = speed × time
Distance covered by driving from college to home is
70 × t = 70t
He drove back to the college the following week at an average speed of 62.7 mph.
Distance covered by driving back to college from home is
62.7(11 - t) = 689.7 - 62.7t
Since the distance travelled is the same, then
689.7 - 62.7t = 70t
70t + 62.7 = 689.7
132.7t = 689.7
t = 689.7/132.7
t = 5.19 hours.
Therefore, the time that it took Emanuel to drive from home back to college is
11 - 5.19 = 5.81 hours
