Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
The sign at the end changes because both sides of the equation are being divided by a negative number.
Answer:
Step-by-step explanation:
Let the time for which i bike is = x hours
Let the distance traveled in x hours = y miles
Ratio of distance and time will be = x : y
I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112
then the ratio of distance and time will be same in both the cases
So equation will be
Therefore, equation representing the proportional relationship will be
Answer:
266 tickets
Step-by-step explanation:
Ratio of adult tickets to child tickets is 4 : 3
So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.
In total there is:
4 + 3 = 7 parts
Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?
152/4 = 38
Total amount of tickets is 7 of these "parts", so total number of tickets is:
38 * 7 = 266 tickets
