All categories

3 years ago

Need help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeWhat is (f⋅g)(x)?

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

just need to multiply and axpand ?

$( {x}^{2} + 2)( {x}^{3} - 4x + 2) = {x}^{2} ({x}^{3} - 4x + 2) + 2({x}^{3} - 4x + 2) \\ = {x}^{5} - 4 {x}^{3} + 2 {x}^{2} + 2 {x}^{3} - 8x + 4 \\ = {x}^{5} - 2 {x}^{3} + 2 {x}^{2} - 8x + 4$

You might be interested in

Please help me with this homework

Nady [450]

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

7 0

3 years ago

Read 2 more answers

It's a little blurry sorry please help

Ghella [55]

Answer:

It's X=2

Working out:

(left one):

2(x+3)=10

2x+6=10

2x=10-6

2x=4

x=2

Working out:

(right one):

2(x+3) must be all divided by 2 so it will be x+3 and same for 10, it will be 5 so...

x+3=5

x=5-3

x=2

Hope it helps ^---^

3 0

2 years ago

Read 2 more answers

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

Identify the polynomial. a ^2 + bcd ^3

Tpy6a [65]

B, binomial. 2 terms

Hope that helps

8 0

3 years ago

Read 2 more answers

Which of the following Statements are true?

choli [55]

Answer: Only Statement 1 is True.

Step-by-step explanation:

A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.

8 0

2 years ago