These are 3 questions and 3 answers.
Question 1.
Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions
Explanation:
1) Equation A
Replace x = -4 in the right side of the equation:
Which is not defined, so this is a extraneous solution.
2) Equation B.
Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.
Question 2.
Answer: cubing both sides once.
Explanation:
![\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B5x-2%7D%20-%5Csqrt%5B3%5D%7B4x%7D%20%3D0%5C%5C%20%5C%5C%20%20%5Csqrt%5B3%5D%7B5x-2%7D%20%3D%5Csqrt%5B3%5D%7B4x%7D%5C%5C%20%20%5C%5C%20%20%28%5Csqrt%5B3%5D%7B5x-2%7D%20%29%5E3%3D%28%5Csqrt%5B3%5D%7B4x%7D%29%5E3%5C%5C%20%20%5C%5C%20%205x-2%3D4x%5C%5C%20%5C%5C%20%205x-4x%3D2%5C%5C%20%5C%5C%20%20x%3D2%20)
3) Question 3.
Answer: c - 2 = 25 + c + 10√c
Explanation:
Answer:
A. 57.2
Step-by-step explanation:
Given: Nelly runs = 10-mile race in 88 minutes. At the same rate but 6.5-mile race
To find: How long it would take him to run a 6.5-mile race
Solution: To calculate the how long;
<u>How to calculate running pace</u>
- Divide your run time by your distance
- If you ran 3 miles in 30 minutes: 30 min ÷ 3 mi = 10 minutes per mile pace
<u>How to calculate run distance</u>
- Divide your running time by your pace
- If your pace is 8 minutes per mile and you ran for 32 minutes: 32 min ÷ 8 min per mi = 4 miles
<u>How to calculate run time</u>
- Multiply your pace by your distance
- If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds
<u>How to calculate running speed</u>
- Divide your run distance by your run time
- If you ran 2.5 miles and you ran for 20 minutes:
2.5 mi ÷ 20 min = 0.125 miles per minute
Answer:
4
Step-by-step explanation:
12p=5d
1p=5/12
10p=4.1666
≈4 days
Answer:
48 months
Step-by-step explanation:
Cost of car = RM12,750
interest charged = 4% = 0.04
total interest paid = RM1,041.25
Now,
Using the Constant Ratio formula
r = 
here,
i is the interest paid
P is the principle
n is the number of monthly installments
r is the interest rate
on substituting the respective values, we get
0.04 = 
or
n + 1 = 49
or
n = 48 months
<h2>Steps</h2>
So for this, we will be creating an equation using the exponential formula - which is 
(a = initial value, b = growth/decay).
Firstly, we know that the original population of the deer is 1,500 so that will be our a value.
Next, we know that the population is growing by 2% annually. With this, we will <em>add</em> 1 and 0.02 (2% in decimal form) since the population is <em>increasing</em>.
1.02 will be our b variable. Now putting it together, our equation is: 
Now that we have our equation set up, plug 4 into the x variable and solve for y as such (Remember to not round until the very end):
<h2>Answer</h2>
<u>After 4 years, the deer population will be 1,624.</u>
