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Nataliya [291]
2 years ago
14

Find the slope of the line that contains (−3,5) and (3,−9).

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0
The slope is this and that
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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

7 0
3 years ago
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charles is 22 years older than his sister danielle. in 10 years he will be twice as old as danielle. how old is each of them now
andriy [413]

9514 1404 393

Answer:

  • Charles: 34
  • Danielle: 12

Step-by-step explanation:

If Charles is 22 years older, he will be double Danielle's age when she is 22. If that is 10 years from now, Danielle is 12 and Charles is 34.

3 0
2 years ago
((Recall: 1 oz = 28.4 g. and 1 kg. = 1,000 g.) 100 oz ~ kg.
swat32
Since 1 oz is equal to 28.4 g and 1 kg is equal to 1000 g that means that 3521.12 kg are equal to 100 oz 
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3 years ago
HELPPP!!!!<br><br> Complete the​ two-column proof by filling in the blanks.
Brilliant_brown [7]

Answer:

2. Substitution property

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Step-by-step explanation:

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A Local restaurant offers burgers with a choice of the following toppings: cheese, lettuce, tomato, pickle, onion, jalapeños, a
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