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2 years ago

If f(x)=3x^2+1 and g(x)=1-x, what is the value of (f-g)(2)?

Mathematics

2 answers:

madam [21]2 years ago

3 0

The answer is 14 you just have to substitute x with the given number and finish the equation

never [62]2 years ago

3 0

Answer:

(f – g)(2) = 12.

Step-by-step explanation:

Given : f(x) = 3x²+1 and g(x) =1-x .

To find : which expression is equivalent to (f – g)(2).

Solution : We have given f(x) = 3x²+1 and g(x) = 1-x .

(f – g)(2) = f (2 ) - g(2) .

g(x) = 1-x .

Plug x = 2 .

g(2) = 1 - 2 .

g(2) = - 1.

For f(x) =3x²+1

Plug x = 2

f( 2) =3 (2)²+1.

f(2) = 12 + 1.

f(2) = 13 .

Then , (f – g)(2) = f (2 ) - g(2) .

Plugging the values

(f – g)(2) = -1 + 13

(f – g)(2) = 12

(f – g)(2) = 12.

Therefore, (f – g)(2) = 12.

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3. Solve the system using elimination (not substitution or matrices). negative 2 x plus y minus 2 z equals negative 8A N D7 x pl

riadik2000 [5.3K]

Elimination Method

$\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ 5X+2Y-Z=-9 \end{gathered}$

If we multiply the equation 3 by (-1) we obtain this:

$\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}$

If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z

1. Using the 3rd equation we can obtain X(Y,Z)

$\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\ \end{gathered}$

2. We can replace this value of X in the 1st and 2nd equations

$\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}$

3. If we simplify:

$\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}$

4. We can obtain Y from this two equations:

$\begin{gathered} Y=-\frac{-12Z+58}{9} \\ \end{gathered}$

5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)

$\begin{gathered} X=\frac{-9-2Y+Z}{5} \\ X=\frac{-9-2(-\frac{-12Z+58}{9})+Z}{5} \end{gathered}$

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$X=\frac{-3Z+7}{9}$

7. In conclusion, we obtain that

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$(\frac{-3Z+7}{9},-\frac{-12Z+58}{9},Z)$

8 0

3 months ago

Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2

iragen [17]

In the simplified expression, the coefficient of the term b² is -1.

<h3>Order to solve Math Operations</h3>

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right

See the order below

Parentheses
Exponents
Multiplication or Division from left to right
Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

Remove the Parentheses

4a² +2ab -2a² +ab - b²

Add similar terms

2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by the expression 2a²+3ab-b².

Learn more about the algebraic expression here:

brainly.com/question/2164351

#SPJ1

7 0

7 months ago