All categories

3 years ago

HW1

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Answer:

He is incorrect. The true greatest common factor is 8.

Step-by-step explanation

Although 4 is a factor of both numbers, 32 and 8 can both be factorized (multiplied) by 8 to have the given numbers as an outcome.

Ex. 4 * 8 = 32 ; 8 * 1 = 8

You might be interested in

HELP ME PLEASE!!!!!!!!!!!GIVING BRAINLIEST!!!!!!

poizon [28]

B. y = $\frac{1}{2}$ x + 1

5 0

3 years ago

Read 2 more answers

A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probabi

Harlamova29_29 [7]

Answer:

C. Yes,because it is still less likely to have an outcome of drawing a Twix.

Step-by-step explanation:

3 0

3 years ago

what is the probability of drawing two yellow marbles if the first on is NOT place back into the bag before the second draw?

Kruka [31]

Answer:

1/45

Step-by-step explanation:

I assume there are 10 marbles total, 2 of which are yellow.

The probability the first marble is yellow is 2/10.

There's now one less marble, so the probability that the second marble is yellow is 1/9.

The total probability is (2/10) (1/9) = 1/45.

6 0

3 years ago

This isn't really a school-related question.It's more of a conflict I have with my self. So: I have a friend that constantly cop

ycow [4]

Well to be honest, you need to straight forward to her and tell her that you do not appreciate her copying you and tell her you dont want to be rude or anything, but this needs to stop.

8 0

3 years ago

Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?

spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

$\frac{d}{dx}\cdot f(x)$

Now the sum of the 2 functions is shown below

$y=f(x)+g(x)$

Diffrentiating both sides with respect to 'x' we get

$\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\$

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

$\frac{dy}{dx}$

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

$h=f(x)\cdot g(x)$

Diffrentiating both sides with respect to 'x' we get

$h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)$

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0

3 years ago