All categories

2 years ago

Describe the end behavior of F(x) = x^2 + 4x +3

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function determine the end behavior of the graph

In this problem

we have

$f)x)=x^2+4x+3$

Is a vertical parabola open upward (the vertex is a minimum)

The degree of the function is even (2) and the leading coefficient is positive.

So,

the end behavior is:

f(x)→+∞, as x→−∞

f(x)→+∞, as x→+∞

You might be interested in

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
   $y= \frac{1}{3}x+8$
________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
$y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}$
________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
$y= \frac{x+24}{3}$   ⇒    $3y=x+24$
________________________
$5y-x=-10$
$3y-x=24$

5 0

2 years ago

Work out the value of x.<br>Need answer soon :)

german

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have 4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

6 0

2 years ago

a tree 20 feet tall with a circumference of 3 ft has a vine wound around 7 times. How long is the vine?

FinnZ [79.3K]

If the tree is 20 feet tall with circumference 3 feet then the length of vince is around 21 feet.

Given the height of tree is 20 feet and the circumference of tree is 3 feet.

We have to find the length of vine.

Circumference is the perimeter of a circular object. Because the trunk of a tree is in shape of circle so the perimeter of the trunk is 2πr.

We have been given the circumference of tree be 3 feet.

Circumference=2πr

Because vine is 7 times the circumference so the length of vine being:

Length of vine=7*3

=21 feet.

Hence if the tree is 20 feet tall with circumference 3 feet then the vince is around 21 feet long.

Learn more about circumference at brainly.com/question/20489969

#SPJ1

4 0

1 year ago

Read 2 more answers

Question: A box of chocolates contains square chocolates, which weigh 10 g each, and round chocolates, which weigh 8 g each. The

Viktor [21]

Answer: the box contained 9 square chocolates and 15 round chocolates.

Step-by-step explanation:

Let x represent the number of square chocolates contained in the box.

Let y represent the number of round chocolates contained in the box.

The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that

10x + 8y = 210- - - - - - - - - - -1

The number of round chocolates is 3 less than twice the number of square chocolates. It means that

y = 2x - 3

Substituting y = 2x - 3 into equation 1, it becomes

10x + 8(2x - 3) = 210

10x + 16x - 24 = 210

26x = 210 + 24

26x = 234

x = 234/26

x = 9

y = 2x - 3 = 2 × 9 - 3

y = 18 - 3

y = 15

3 0

2 years ago

What is the solution to the inequality 1/2x(-2)<8

kotegsom [21]

Ok I guess whatttt I do not getting it

6 0

2 years ago