All categories

3 years ago

Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?

2 answers:

7 0

F(x) = -(x + 8)² - 1

The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there. 

Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval. 

Let a and b be any two values on [-8, ∞), such that a < b. 

-8 ≤ a 

Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).

IRISSAK [1]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Evaluate if x = –14.6 and y = 2.5. –x – |y|

katrin [286]

Answer:

12.1

Step-by-step explanation:

–x – |y|

x = -14.6 and y = 2.5

-(-14.6) - |2.5|

14.6 - 2.5

12.1

6 0

3 years ago

What is the mean of 25 31 12 38 12 15

Taya2010 [7]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page

natali 33 [55]

Answer:

$y=-55x+570$

Step-by-step explanation:

The correct question is

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.

Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Let

x -----> the time in hours

y ----> the number of pages left to read

we know that

The linear equation in point-slope form is equal to

$y-y1=m(x-x1)$

In this problem we have

$m=-55\frac{pages}{hour}$ ----> is negative because the linear function is decreasing

$point\ (4,350)$

substitute

$y-350=-55(x-4)$

$y-350=-55x+220$

$y=-55x+220+350$

$y=-55x+570$

8 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!

garik1379 [7]

Answer:

Step-by-step explanation:

If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.

I have no way of knowing how to fix this.

Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.

the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926

or 3.926%

the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926

or 3.926%

so the price each year after new is

p = 71445(1 - 0.03926)ⁿ

71445(0.96074)ⁿ

where n is the number of years.

To get the monthly version, we divide the decrease by 12

p = 71445(1 - 0.03926/12)ˣ

p = 71445(1 - 0.00327)ˣ

p = 71445(0.99673)ˣ

where x is the number of months since new.

This may not be your exact answer, but the same method can be used if you get real numbers.

8 0

2 years ago

Use spherical coordinates. let h be a solid hemisphere of radius 1 whose density at any point is proportional to its distance fr

MA_775_DIABLO [31]

Whereas the density of the hemisphere at any point is proportional to it's density, then

The full answer in attachment, we use the partial integral using the spherical coordinates,

and we find that the mass of h = πK/2

7 0

3 years ago