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Yuri [45]
3 years ago
15

Can 5 qt 1 pt of fruit punch and 3 qt 1pt of ginger ale be poured into a 2 gal container with out it over flowing

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

No

Step-by-step explanation:

5qt+3qt=2 gallon already

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Hellllpppp pleaseee??
Advocard [28]

Answer:

The answer is 3

7 0
3 years ago
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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
Read 2 more answers
Evaluate the expression (- n) ^ (n + n) + n ^ (n - n) , when n = 2
sladkih [1.3K]

Answer:

17

Step-by-step explanation:

Substitute the value of the variable and simplify.

(-(2))^{(2+2)} +2^{(2-2)}

-2x^{2+2} =2^{4} = 16

2^{2-2} =2^{0}

Anything raised to the power of 0 is one.

16 + 1 = 17

5 0
3 years ago
The volume of A is 400cm cubed<br> Work out the volume of B <br> A=10cm B=15cm
bonufazy [111]

Answer:

600cm

Step-by-step explanation:

The length of B times the length on A which goes to B = your answer

6 0
3 years ago
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Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the
tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: k=\frac{y}{x}

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0
3 years ago
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