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When markets and government decide how wealth, money and goods and services are distributed whay basic economic question are the

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Luda [366]3 years ago

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For whom to produce?

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Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2, solve for g(f(3)). 5 7 9 10

AlladinOne [14]

The correct answer is 10.

In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).

f(x) = 2x + 1

f(3) = 2(3) + 1

f(3) = 6 + 1

f(3) = 7

Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).

g(x) = (3x - 1)/2

g(7) = (3(7) - 1)/ 2

g(7) = (21 - 1)/2

g(7) = 20/2

g(f(3)) = 10

5 0

3 years ago

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

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3 years ago

Farmer McKinney has a plot of tomato plants. There are 5 tomato plants in the first row, 6 tomato plants in the second row, 9 to

jok3333 [9.3K]

There will be 30 tomatoes in row six. Let me know if i'm right.

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3 years ago

-5(6p+1)=-25-5p+20-25p

sweet [91]

37 IS THE ANSWER IM NO YELLING LOL

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3 years ago

The angle of elevation of the top of the building at a distance of 50 m from its

Finger [1]

Answer:

this is so easy

see answer

answer from india

mark me as brainlist

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3 years ago