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2 years ago

Combining like terms with negative coefficient -3x-6+(-1)

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer:

-3x-7

Step-by-step explanation:

So firs you would change the sign of +(-1)

-3x-6-1

-3x-7

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F(x) = 3x-1 , (f of g)(x) = x^2 , Find g(x)

fomenos

Answer:

$g(x)=\dfrac{x^2+1}{3}$

Step-by-step explanation:

Given functions:

$\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}$

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(x) means to substitute function g(x) in place of the x in function f(x).

$\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}$

Therefore:

$\boxed{g(x)=\dfrac{x^2+1}{3}}$

6 0

9 months ago

A die is thrown six times.

Sergeu [11.5K]

It seems like a good probability dad

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3 years ago

Solve the formula Ax + By= C for A.

tresset_1 [31]

Answer:

Step-by-step explanation:

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2 years ago

Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3

blsea [12.9K]

Answer:

f(86)-f(82)

Step-by-step explanation:

well f of 82 = 2 plus _ plus _ plus _ and f of 86 is 2+_+_+_ subtract them

(A) 3 (B) 4 (C) 47 (D) 59 (E) 83

these are some possible answers so the answer is b, 4

btw, 86-82 = 4 duh

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2 years ago

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A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose fr

Temka [501]

To answer this question, multiply all given numbers together.

4*3*3

12*3

36 different value meal packages are possible.

Hope this helps!

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3 years ago

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