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pishuonlain [190]

3 years ago

11

You are told that the average rate of change of a particular function is always negative. What can you conclude about the graph

of that function and why?

1 answer:

ira [324]3 years ago

6 0

A negative average rate of change means that as x increases, y decreases. That means that the graph goes down to the right.

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What is 7.2 times 10^5 equal to.

FromTheMoon [43]

The answer to this is 720000

4 0

3 years ago

Read 2 more answers

In the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this

Eddi Din [679]

Answer:

181 penguins on the last day of June.

250th penguin on 7 September.

Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.

First of all we need to find number of days in January to June.

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

$\text{Days from January to June}=31+28+31+30+31+30$

$\text{Days from January to June}=181$

Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.

Therefore, the penguin family will have 181 penguins on the last day of June.

Now, we need to find the day, which will be on 250th day.

We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is $181+62=243$ .

243rd day would be 31st August.

Now, we will add 7 days to 243 days to get 250th day.

Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.

6 0

3 years ago

Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]

ExtremeBDS [4]

If <em>x</em> = -1, you have

2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0

and if <em>x</em> = 0, you have

2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0

The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.

5 0

3 years ago

X+6 /3 = 2+x-2/5

olasank [31]

We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.

So:

5(x+6)/15 = 30/15 + 3(x-2)/15

(5x+6)/15 - (30/15) - (3x - 6)/15

As you already know the answer, I'm assuming you can do the rest.

Hope this helps!

3 0

3 years ago

The length and breadth of a rectangle are x CM and y CM respectively if the rectangle has an area of 24cm state the possible pai

ELEN [110]

Answer:

The possible pairs of integer values of x and y are (24 ,1), (12,2), ,(8,3), and (6,4) .

Step-by-step explanation:

The length of the rectangle = x cm

The breadth of the rectangle = y cm

Area = 24 sq cm

Now,as x and y are both sides of the rectangle so, x and y ARE STRICTLY POSITIVE.

Also, AREA OF RECTANGLE = LENGTH X BREADTH

⇒ x y = 24 , x >y

So, all possible values of (x,y) = (24 ,1), (12,2), ,(8,3), and (6,4)

Hence, for area to be 24 sq units there are 4 possible dimensional sets.

5 0

2 years ago