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3 years ago

Review the graph of function h(x). What is lim h(x), if it exists?

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Answer:

Step-by-step explanation:

because you have to look at what both sides of the graph is doing as it approaches 2.

from the left, we can see the the graph is going down All the way to 0 at x=2.

and from the right side, the graph is going up to 0 at x=2.

therefore the graph is approaching 0.

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Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the

bezimeni [28]

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

6 0

3 years ago

a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material

victus00 [196]

245.31 (dollars) is the cost (in dollars) of materials for the least expensive such container.

<h3>What is maxima and minima ? </h3>

Calculus maxima and minima are found using the concept of derivatives. Knowing that the derivative concept gives information about the slope/slope of a function, we find the point where the slope is zero. These points are called inflection points/stationary points. These are the points associated with the maximum or minimum (local) values of the function.

Knowledge of maxima and minima is essential for our everyday problems. In addition, this article also explains how to find the absolute maximum and minimum values.

Solvable maximum and minimum arithmetic problems are discussed in this article.

<h3>Calculation</h3>

Suppose the width is x (m), length of the base is 2x (m), the base area is 2x^2 (m^2).

Since the volume is 10 (m^3), the height has to be 10/2x^2 (m) = 5/x^2.

The cost of making such container is

cost of base: 2x^2*15 = 30x^2

cost of sides: (2*2x*5/x^2 + 2*x*5/x^2)*9 = 270/x

The overall cost is hence the sum of the base and the sides: f(x) = 30x^2 + 270/x

The get the minimum,

df(x)/dx = 30*(2x - 9/x^2) = 0

so x = (9/2)^(1/3) = 1.651 (m)

f(x) = 245.31 (dollars)

learn more about maxima and minima here :

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8 0

1 year ago

Simplify ten to the eighth divided by ten to the negative third.

In-s [12.5K]

Answer:

$10^{11}$

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

$\dfrac{10^8}{10^{-3}}$

We know that, $\dfrac{x^a}{x^b}=x^{a-b}$

Here, x = 10, a = 8 and b = -3

So,

$\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}$

So, the answer is $10^{11}$

7 0

3 years ago

Graph this function:<br> y = 2x

77julia77 [94]

Graph is attached below.

Step-by-step explanation:

We have to graph function y = 2x,

From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.

For example,

y = 2(0)

y = 0

So, point would be (0,0)

y = 2(1)

y = 2

So, point would be (1,2)

y = 2(3)

y = 6

So, point would be (3,6)

y = 2(-1)

y = -2

So, point would be (-1,-2)

y = 2(-3)

y = -6

So, point would be (-3,-6)

By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.

Keywords: function, graph

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6 0

3 years ago

The box par of a box and whisker plot represents

Serga [27]

They represent a math equation.

3 0

3 years ago