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kondor19780726 [428]

2 years ago

12

It takes a chef 6 minutes to prepare each meal, and he spends 20 minutes beforehand cutting all of the vegetables. Write a funct

ion to describe the time it takes him to prepare x meals and cut the vegetables.

2 answers:

joja [24]2 years ago

7 0

6x + 20 so of you graph it its 20 is the y int. And then 6 would be the slope

Ivenika [448]2 years ago

5 0

6x + 20 graph it's 20 is the y (int.) And then 6 is the slope.

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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati

Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x f(x)

-2 -46

-1 -22

0 -10

1 -4

2 -1

We have to choose which statement describes better about function

Let us assume $f(x)=ab^x+c$

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

$f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}$

$f'(x) > 0$

So we can say that f(x) is an increasing function.

$g(x) = - 18 (\frac{1}{3} )^ x + 2$

$g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)$

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and x∈g(x) $g'(x) > f'(x)$

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0

1 year ago

graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t

Iteru [2.4K]

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

4 0

2 years ago

Read 2 more answers

Cevabını yazarmısınız

Anit [1.1K]

Answer:

it is side ways

Step-by-step explanation:

6 0

3 years ago

Are total emissions or per-capita emissions a better gauge when comparing the co2 emissions of various countries? why? emissions

algol13

The emissions per capita measurement is a better because it shows the number of people divided by the emissions.

<h3>What is the difference between total emissions and emissions per capita?</h3>

The emissions per capita show the emissions per each citizen or inhabitant, while the total emissions show only the emissions of the country.

<h3>Which one is better?</h3>

The per capita gauge is better because whether a country is polluting more or not depends on how much each citizen pollutes. This information is useful to create laws that reduce pollution.

Learn more about pollution in: brainly.com/question/23857736

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4 0

1 year ago

Two triangles are similar. The perimeter of the smaller one is 16. The ratio of the corresponding sides is 2:5. The sides of the

Eddi Din [679]

Answer:

Perimeter of larger triangle is 40.

Step-by-step explanation:

Given:

Perimeter of smaller circle = 16

Ratio of corresponding side = 2:5

We need to find the perimeter of the larger triangle.

Solution:

Let the perimeter of the larger triangle be 'x'.

Therefore by theorem which states that;

" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".

Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5

framing in equation form we get;

$\frac{\textrm{Perimeter of smaller triangle}}{\textrm{Perimeter of Larger triangle}}=\frac{2}{5}$

Substituting the values we get;

$\frac{16}{x}=\frac{2}{5}$

By Cross multiplication we get;

$16\times 5=2x\\\\80=2x$

Dividing both side by 2 we get;

$\frac{80}{2}=\frac{2x}{2}\\\\x=40$

Hence Perimeter of larger triangle is 40.

7 0

3 years ago