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Alenkinab [10]
3 years ago
11

Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0
<span><u><em>The correct answer is: </em></u>
no.

<u><em>Explanation</em></u><span><u><em>: </em></u>
For a function to be decreasing over an interval, <u>the value of the function, f(x), must decrease as x increases</u>. This does not, however, mean that the values of the function are negative. The function could have a positive range while still decreasing (becoming smaller positive numbers as x increase).</span></span>
satela [25.4K]3 years ago
7 0

Answer:

The function may not be negative if the function is decreasing over a given interval.

Step-by-step explanation:

Let the function be f(x)

If the function f(x) is decreasing then it implies that the value of the function f(x) is decreasing with the increase in value of x over the given interval.

A function f(x) is said to be decreasing if the derivative of the function f'(x) is negative. This does not implies that the function is negative.

Hence, The function may not be negative if the function is decreasing over a given interval.

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Sophie [7]

Answer:

B

Step-by-step explanation:

B has a slope of 7 while A has a slope of 6.

slope of B 14-7/2-1 = 7

A slope is y= mx+b and m is the slope. so 6.

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2 years ago
Please answer now I will give the crown thingy
Wewaii [24]

Answer:

three times

Step-by-step explanation:

8 0
2 years ago
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
2 years ago
For a ride on a rental scooter, John paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for
enot [183]

The linear equation is 8+0.06x=19.94 and John rode the scooter for 199 minutes.

Fee to start the scooter = $8.

Fee to ride per minute = 6 cents = $0.06.

Total bill = $19.94.

Let x be the minutes for which he rides the scooter.

The linear equation is formed as:

8+0.06x=19.94

0.06x=19.94-8

0.06x=11.94

x=199 minutes.

So, John rode the scooter for 199 minutes.

Learn more about linear equation here:

brainly.com/question/24794429?referrer=searchResults

5 0
1 year ago
Read 2 more answers
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Talja [164]
I think you will have t use theorem Ba=Rv^2+vo^2 Ba=4^2+7^2 Ba=16+49 Ba=65
4 0
3 years ago
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