45,621 round to the nearest thousand?

Determine which function has the greatest rate of change as x approaches infinity.

Mekhanik [1.2K]

Answer: h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

3 0

3 years ago

Need help on this one question please

Elan Coil [88]

P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
make a right triangle
Then use the pythereom
$4^{2} + 5^{2} = (PQ)^{2}$
$41 = (PQ)^{2}$
$\sqrt{41} = PQ$

6 0

2 years ago

How were the latin american policies of president theodore roosevelt and president wilson similar

zysi [14]

Ultimately Woodrow Wilson's preferred direction was not to get involved with the internal affairs of the USA's near neighbors in Latin America. However events unfolded that meant his governments ended up being as interventionist as those of Teddy Roosevelt, for example occupying Haiti and the Dominican Republic. These activities were not intended plans of Wilson's in the way that Roosevelt set out to police Latin America but nonetheless the impact was the same.

3 0

2 years ago

If the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters

nasty-shy [4]

Answer:

SDADWDADSDWADSD

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$

Since the fraction cannot be simplified anymore, this should be our final answer.

So, this means that the answer to the equation is $22\frac{3}{16}$ .

Hope this helps!

- Lindsey Frazier ♥

5 0

3 years ago

Read 2 more answers