So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:
Next, square both sides:
Next, subtract x and add 2 to both sides of the equation:
Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:
Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite the equation as 
Now, apply the Zero Product Property and solve for x as such:
Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:
Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>
Answer:
After 3 visits both plans will cost the same.
Step-by-step explanation:
Gym A costs $26.76 plus an additional $4 for each visit.
Gym B has no initial fee but costs $12.92 for each visist.
The cost for gym A can be written as
C= $26.76 + 4(x) where x is the number of visits to the gym A
The cost for gym B can be written as
C= $12.92 (x) where x is the number of visits to the gym B
Both costs will be equal
12.92x= 26.76 +4x
12.92x-4x= 26.76
8.92x= 26.76
x= 26.76/8.92
x= 3
after 3 visits both plans will cost the same.
Check
12.92x= 26.76 +4x
12.92*3= 26.76 +12
38.76= 38.76
Answer:
=25343 grams or 25 kg 343 g.
Step-by-step explanation:
1 kg = 1000 g
∴ 4 kg = 4000 grams
and the 4 kg 250 g would equal = 4250 grams.
∴ 2 kg = 1000 g
2 kg 90 g = 2000 grams + 90 g = 2090 grams
∴ 19 kg = 19000 grams
and 19 kg 3 grams = 19000 grams + 3 grams = 19003 grams
now we will add all of the values together to get the final answer.
4250 grams + 2090 grams + 19003 grams = 25343 grams or 25 kg 343 g.
Hope this helps!!
Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz.
Answer:
Range is number of copies produced and set of values is; 1 ≤ N ≤ 200
Domain; Cost of publishing book in dollars; set of values are; $710 ≤ N ≤ $2700
Step-by-step explanation:
Range is a set of all the possible output values in a function while domain is the set of all possible input values.
Now, the function is given as;
C = 10N + 700
Where;
C is the cost of publishing the book in dollars
N is the number of copies of books produced
Thus, the domain will be a set of N values while Range will be a set of C values.
We are told that the first printing can produce up to 200 copies of the book.
That means a maximum of 200 books and a minimum of 1.
Thus;
Range is; 1 ≤ N ≤ 200
Maximum possible cost of the 200 books is;
C = 10(200) + 700
C = $2700
Minimum cost which will be for 1 book will be;
C = 10(1) + 700
C = $710
Thus,domain is;
$710 ≤ N ≤ $2700
