If f(x)=25-x^2 and g(x)=x+5, what is (f/g) (x)? Wire your answer in simplest form

Answers

Answer 1
Answer: f(x)=25-x^2 and g(x)=x+5
(f/g) (x)=(25-x^2 )/(x+5)
25-x^2=(5-x)(5+x)
(f/g) (x)=(5-x)(5+x)/(x+5)

 cancle out x+5

(f/g) (x)=(5-x)

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Answers

Answer:

Step-by-step explanation:

Which is another way to check the sum of 104+34+228+877?

Answers

A simple method of checking the sum of arithmetic problems is by using the "digit sum" method. The digit sum can be obtained by adding the digits of a number together, until you get a single-digit number. In case you get a double-digit number, just add them again until you get a single digit number.

Let's try it with an example.

Given the numbers 143, 876, and 534, their digit sums would be:
144 : 1 + 4 + 3 = 9 (same as 0)
876 : 8 + 7 + 6 = 21; 2 + 1 = 3
534 : 5 + 3 + 4 = 12; 1 + 2 = 3

Getting the digit sum is actually getting the number modulo 9, which in other words, is the remainder of that number divided by 9. Since you now have an understanding of the digit sum, how can it be used to check the sum of the problem above?

By comparing the sum of the digit sums of the addends and the digit sum of the obtained sum, you can determine if the arithmetic process was done correctly. Let us do this below:

104 + 34 + 228 + 877 = 1243

Using the digit sum method:

104 : 1 + 0 +4 = 5
34 : 3 + 4 = 7
228 : 2 + 2 + 8 = 12; 1 + 2 = 3
877 : 8 + 7 + 7 = 22; 2 + 2 = 4

adding the digit sums of the addends:

5 + 7 + 3 + 4 = 19; 1 + 0 = 1

Comparing with the digit sum of the sum (1243):

1 + 2 + 4 + 3 = 10; 1 + 0 = 1 (OK)

As we can see, the digit sums are the same, so we can say that the arithmetic process has been done correctly.

If a side of a square is 1/2 ft long what is the perimeter of the square

Answers

Perimeter is the sum of the length of all sides. A square has 4 sides with equal sides. So the perimeter = 4*1/2ft =2ft

A company has introduced two new products to the market. The revenue generated by product A was $63,000 in the first year, and the revenue increases by 3.5% every year.The revenue generated by product B was $81,000 in the first year, and the revenue increases by 2.1% every year.

Which function can the company use to determine its total revenue from the two products, R(x), after they have been on the market for x years, and approximately what will be the revenue generated by sales of the products after 6 years?

R(x) = 9,000[7(1.035)x + 9(1.021)x]; $635,580
R(x) = 9,000[7(1.035)x + 9(1.021)x]; $169,200
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $688,050

Answers

For this case we have functions of the form:
 y = A (b) ^ x
 Where,
 A: initial amount
 b: growth rate
 x: time
 Therefore, substituting values we have:
 Product A:
 y = 63000 (1,035) ^ x
 Product B:
 y = 81000 (1,021) ^ x
 The sum of the products is:
 R (x) = 63000 (1,035) ^ x + 81000 (1,021) ^ x
 Rewriting:
 R (x) = 9000 (7 (1,035) ^ x + 9 (1,021) ^ x)
 Evaluating for 6 years:
 R (6) = 9000 * (7 * (1,035) ^ 6 + 9 * (1,021) ^ 6)
 R (6) = 169200 $
 Answer:
 
The revenue generated by sales of the products after 6 years is:
 
R (x) = 9,000 [7 (1,035) x + 9 (1,021) x]; $ 169,200
The correct answer is R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936

Tulio Fernandez purchased a treadmill with an installment loan that has an APR of 12%. The treadmill sells for $1,672. The store financing requires a 10% down payment and 12 monthly payments. What is the finance charge?

Answers

Answer:

98.76

Step-by-step explanation:

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If prizes for a carnival are priced at 5 for 80 cents. how much would 250 prices cost?

Answers

ratio and proprtion
number of prized to price is 5 to 80 or 5/80 which can be simplified to 1/16
1 price to 16 cents equals 250 prizes to x cents
1/16=250/x
times both sides by 16x aka cross multiply
x=250*16
x=4000 cents or $40 for 250 prizes