All categories

3 years ago

If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).

Mathematics

2 answers:

ElenaW [278]3 years ago

3 0

Answer:

Step-by-step explanation:

- 4x² + 10x

maria [59]3 years ago

3 0

Answer:

$\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}$

Step-by-step explanation:

Given:

$f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\$

Solve for:

$(f - g)(x)$

Solution:

Perform the subtraction:

$(f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)$

Eliminate the parenthesis (notice the change in sign of some components):

$(f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1$

Rearrange the expression:

$(f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)$

Simplify the expression:

$(f - g)(x) = -4x^{2} + 10x$

Perform the inverse of associative property:

$(f - g)(x) = -2x(2x - 5)$

Hope this helps!

You might be interested in

Mark spent 5/12 of an hour on his math homework and 6/12 of and hour on english homework altogether,what fraction of an hour did

Nastasia [14]

Mark spent 11/12 of an hour doing both math and english homework

8 0

3 years ago

Read 2 more answers

Please help.... fast

zloy xaker [14]

Answer:

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.

I'm confident that this is the answer.

8 0

2 years ago

A family of 6 went to see a movie at the movie theater. The movie theater charges $9.00 for adult tickets and $5.00 for child ti

Nata [24]

4 child tickets and 2 adult tickets

7 0

3 years ago

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

9966 [12]

Answer:

The graph is attached below.

Step-by-step explanation:

Considering the exponential function

$y=3^{-2x}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{bx}=\left(a^b\right)^x$

$3^{-2x}=\left(3^2\right)^{-x}$

$=\left(3^2\right)^{-x}$

$=9^{-x}$

The graph is also attached below.

Keywords: exponential function, graph

Learn more about exponential function from brainly.com/question/11908487

#learnwithBrainly

7 0

3 years ago

Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

2 years ago