All categories

2 years ago

must a function that is decreasing over a given interval always be negative over that same interval explain

Mathematics

2 answers:

kolbaska11 [484]2 years ago

8 0

check the picture below.

notice, a function that is decreasing, namely have a negative slope, doesn't have to be negative.

Dimas [21]2 years ago

7 0

Answer:

Step-by-step explanation:

For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.

You might be interested in

Which equation represents this number sentence? Two more than one-third of a number is 8

Natali [406]

Answer:

B. $2+\frac{1}{3}n=8$

Step-by-step explanation:

Let n be the number.

We are asked to write an mathematical expression for the given word phrase.

One third of a number, n, would be $\frac{1}{3}n$ .

Two more than one third of a number, n, would be $2+\frac{1}{3}n$ .

We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:

$2+\frac{1}{3}n=8$

Therefore, option B is the correct choice.

8 0

1 year ago

Read 2 more answers

A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance be

LUCKY_DIMON [66]

For a better understanding of the solution provided please go through the diagram in the file attached.

Let ABCD be the rectangular yard. The diagonal d=17 meters. AD=8 meters. Therefore, the length of DC can be found by applying the Pythagorean theorem in the right triangle $\Delta ADC$ as:

$DC=\sqrt{17^2-8^2}=\sqrt{(AC)^2-(AD)^2}=\sqrt{225} =15$ meters.

6 0

2 years ago

Is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°

lesya692 [45]

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

6 0

2 years ago

Suppose that 3% of all athletes are using the endurance-enhancing hormone EPO (you should be able to simply compute the percenta

trapecia [35]

Answer:

Step-by-step explanation:

So there is a 3% probability that an athlete is using EPO .

The probability of showing positive on a test when you've used it is 0.99.

3% x 0.99= 2.97%

The probability of a positive result without EPO is 0.1