Use the associative property to write am expression equivalent to (n+3) +4

How to write the number 1.39-1.14 in word form

9966 [12]

0.25 which is a quarter.

3 0

3 years ago

1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable a

Rufina [12.5K]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

$f(x)=x^2$

$g(x)=|x|$

It is given that,

$(f\circ g)(x)=|x|^2=x^2$

$(g\circ f)(x)=|x^2|=x^2$

According to chin rule,

$(f\circ g)(c)=f(g(c))=f'(g(c)g'(c)$

It means, $(f\circ g)(c)$ is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

3 0

3 years ago

7. What is the cardinality of each of the following sets?

zysi [14]

Answer:

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation: We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So, the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0

3 years ago

a 46 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and third piece i

Natasha2012 [34]

X,2x,6x+1=46
(46-1)/5
x=5
5,10,31

4 0

4 years ago

The answer is there pls just show your work on how to do it

Vikentia [17]

Answer:

Y=2x+0

Step-by-step explanation:

First you have to find the slope of the graph or the rise over run, which in this case is 2

Then you have to find the y intercept, which is zeroSo the rule for thos graph is y=2x+0.

To double check our work take a random point on x axis. I chose the point 1,2

fill in the formula and you should get 2(1)+0=2 and therefore this Formula is correct

6 0

3 years ago

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