All categories

3 years ago

Hi, I have utterly no idea what I'm doing here.

Mathematics

2 answers:

Anna11 [10]3 years ago

6 0

Answer:

Factored form: 2x(2x^2+x+1)

Step-by-step explanation:

You're subtracting them. :)

kompoz [17]3 years ago

5 0

Answer:

2x(4x^2+x+1)

Step-by-step explanation:

f(x) = 9x^3 + 2x^2 - 5x + 4

g(x) = 5x^3 +0x^2 - 7x + 4

f(x) - g(x) =

=(9x^3-5x^3) + (2x^2-0x^2) + (-5x - (-7x)) + (4-4) = 4x^3 +2x^2 +2x

=2x(4x^2+x+1)

You might be interested in

Analyze the end behavior of each function below. Then, choose one of the functions, and explain how you determined

kumpel [21]

Answer:

End behavior of a polynomial function depended on the degree and its leading coefficient.

1. If degree is even and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

2. If degree is even and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

3. If degree is odd and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

4. If degree is odd and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(a)

$f(x)=x^4$

Here, degree is even and leading coefficient is positive.

$f(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(b)

$g(x)=-x^4$

Here, degree is even and leading coefficient is negative.

$g(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$g(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

(c)

$h(x)=x^3$

Here, degree is odd and leading coefficient is positive.

$h(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$h(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

(d)

$k(x)=-x^3$

Here, degree is odd and leading coefficient is negative.

$k(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$k(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

4 0

3 years ago

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!!!!!!! thank you!

ahrayia [7]

Answer:

Step-by-step explanation:

It's not B, since that is describing a line graph.

It's not C, since that is describing a table.

Out of A and D, they both work, but A sounds more fitting.

6 0

3 years ago

Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 5 in, 6 in, 7 in

Ede4ka [16]

These are the formulas that will help you determine which type of triangle they are:

a^2+b^2 < c^2 ----> Obtuse Triangle

a^2+b^2 > c^2 ----> Actue Triangle

a^2+b^2 = c^2 ----> Right Triangle

Okay so now that you know that information, lets get into it :)

a. 5 in, 6 in, 7 in

You're going to take the smallest numbers, 5 and 6, and add them, if it equals a larger number than 7 then its a triangle and you have to determine if its an obtuse, right or acute triangle. In this case it is a triangle because 5 + 6 = 11 aka larger than 7.

The way you'll set this up is:

5^2 + 6^2 = 7^2

solve
25+36=49 -----> 25+36=61

61 > 49 or a^2 + b^2 > c^2

61 > is greater than 49

If you look ate the formulas that are above, this is an acute triangle.

b. 18 in, 9 in, 12 in

In this question, 9 and 12 are the smallest numbers that equal 21 and 21 is larger than 18 so, this is a triangle.

9^2 + 12^2 = 18^2

Solve
81 + 144 = 324 ----> 81 + 144 = 225

225 < 324 or a^2+b^2 < c^2

225 < is less than 324

If you look ate the formulas that are above, this is an obtuse triangle.

Something to just remember:

Sometimes you'll get a question which is like,
4 in, 5 in, 10 in
In this situation, if you add the smallest numbers which are, 4 and 5, you get 9, which is less than the larger number you have, 10. That means it is not a triangle. Just something to be aware about :)

I hope this helped you!

4 0

4 years ago

Linear equation of line with slope 1/4

MrRa [10]

Answer:

1/4x

Step-by-step explanation:

1/4x is a linear equation because it has a constant slope, and the slope of a line is shown before the x.

4 0

4 years ago