The <em>correct answer</em> is:
4.
Explanation:
Taking these numbers as groups of three, we have 2, 7, 8; 3, 12, 9.
In the first group, we can see that we first add 5 and then add 1.
The next group seems to start from the next consecutive number. That is, the first group starts with 2, and the next group starts with 3. The next terms in the second group are found by adding 5 to the second term of the first group (12 = 7+5) and then adding 1 to the third term of the first group (9=8+1); this is because we added 5 and added 1 previously.
Following this pattern, the next group of three would start from the next consecutive number up, 4. The next two terms would be 17 (12+5=17) and 10 (9+1=10).
Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds
Given the Parameters :
- Lucy's distance = 2t
- Emily's distance = 5t
<u>We can set up an equation to represent the required scenario thus</u> :
Emily's distance = Lucy's distance + 90
5t = 2t + 90
We solve for t
<em>Collect like terms</em> :
5t - 2t = 90
3t = 90
Divide both sides by 3 to isolate t
t = 90/3
t = 30
Therefore, Emily will catch up with Lucy after 30 seconds
Learn more :brainly.com/question/13218948
Answer:
Option D
Step-by-step explanation:
Given f(x) = ![\sqrt[3]{4x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%7D)
g(x) = 2x + 3
Since, 
![=\frac{\sqrt[3]{4x}}{2x+3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B4x%7D%7D%7B2x%2B3%7D)
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠ 
Therefore, Option D will be the correct option.
Answer:
$5
Step-by-step explanation:
Let the number of students be x, then
<u>Initial amount per student was:</u>
<u>After it becomes:</u>
<u>Since amount increased after, it can be shown as:</u>
<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>
- 100(x-5) + x(x - 5) = 100x
- 100x - 500 + x² - 5x - 100x = 0
- x² - 5x - 500 = 0
<u>Positive solution of this quadratic equation is </u>
<u>Amount each person paid after:</u>