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madreJ [45]
3 years ago
13

The first night in a hotel costs 25 dollars. All additional nights cost 23 dollars. How many nights did we stay at this hotel if

the total bill was 278 dollars?
Mathematics
2 answers:
KiRa [710]3 years ago
6 0







You stayed 11 nights
Pavel [41]3 years ago
5 0
12 nights.

the first night cost $28 and the other 11 nights cost $23.

work:
278 - $25 = 253
253 divided by 23 = 11
11 $23 nights + 1 $25 night = 12 total nights
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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?
Pepsi [2]

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

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givi [52]
As given he made  3/5 of basket he shot.

So we can find number of basket made by Everett equal to 3/5 of total number of shot .

So if total number of shot is 60.

Then the number of basket made by Everett = \frac{3}{5} of 60.
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So the number of basket made by Everett in 60 shots = 36.
3 0
3 years ago
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amoun
Rudiy27

Answer:

She should leave a total of $78.

Step-by-step explanation:

To find this, we first need to find the tip amount. We can do this by multiplying the total by the tip percentage.

$65 * 20% = $13

Now that we have that, we need to add it to the cost.

$65 + $13 = $78

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svetlana [45]

Answer:

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Step-by-step explanation:

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