Definition
Functions have zeros or x-values that generate function values equal to zero.
Equations have roots or solutions that can be substituted into the polynomial in order to generate a value equal to zero.
Given:
![f(x)\text{ = -}\frac{1}{3}\sqrt[]{x}\text{ + 3}](https://tex.z-dn.net/?f=f%28x%29%5Ctext%7B%20%3D%20-%7D%5Cfrac%7B1%7D%7B3%7D%5Csqrt%5B%5D%7Bx%7D%5Ctext%7B%20%2B%203%7D)
To convert this to an equation, we set f(x) equal to zero i.e
The resulting equation is:
![-\text{ }\frac{1}{3}\sqrt[]{x}\text{ + 3 = 0}](https://tex.z-dn.net/?f=-%5Ctext%7B%20%7D%5Cfrac%7B1%7D%7B3%7D%5Csqrt%5B%5D%7Bx%7D%5Ctext%7B%20%20%20%2B%203%20%3D%200%7D)
Answer: 5/7
Step-by-step explanation: 7/5 is 1.4, which doesn't make sense as an answer here because it's a number greater than one, while we're looking for a number that can be made into a simple fraction, decimal or percent. 5 x 7 = 35, which also doesn't make sense for the same reasons but also because the answer is a division problem and this is multiplication. 7/7 equals one, which doesn't make sense because Melissa hasn't finished 100% of her homework yet. Therefore, the answer is 5/7.
Answer:
1
Step-by-step explanation:
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
