Which expression is equivalent to 11(17 – x)?A.

11 • 17 – 11x

B.

17 – 11x

C.

11 • 17 – x

D.

11 + 17 – x

Answers

Answer 1

Answer: The answer is A. 11 x 17 - 11x because you would use the distributive property and multiply the number on the outside (11) by everything on the inside (17 and -x)

Answer 2

Answer: for this, they are asking you to multiply both 17 and -x by 11. B and C only multiply one term by 11, and D doesn't multiply at all. A is the only one that fits!

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Find the arithmetic combination of f(x) =x+2, g(x)=x-2

Answers

Answer:

The arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f $*$ g)(x) = $\mathrm{x}^(2)-4$ , $\left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)$

Solution:

Given, two functions are f(x) = x + 2 and g(x) = x – 2

We need to find the arithmetic combinations of given two functions.

Arithmetic functions of f(x) and g(x) are (f + g)(x), (f – g)(x), (f $*$ g)(x), $\left((f)/(g)\right)(\mathrm{x})$

Now, (f + g)(x) = f(x) + g(x)

= x + 2 +x – 2

= 2x

Therefore (f + g)(x) = 2x

similarly,

(f - g)(x) = f(x) - g(x)

= x + 2 –(x – 2)

= x + 2 –x + 2

= 4

Therefore (f - g)(x) = 4

similarly,

(f $*$ g)(x) = f(x) $*$ g(x)

= (x + 2) $*$ (x – 2)

= x $*$ (x – 2) + 2 $*$ (x -2)

$=x^(2)-2 x+2 x-4$

$=x^(2)-4$

Therefore (f $*$ g)(x) = $x^(2)-4$

now,

$\left((f)/(g)\right)(\mathrm{x})=(f(x))/(g(x))$

$=(x+2)/(x-2)$

$((f)/(g))(x)$ = $(x+2)/(x-2)$

Hence arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4, (f $*$ g)(x) = $\mathrm{x}^(2)-4$ , $\left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)$

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Answers

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