[1x-6]>1 what are the solutions

What condition renders this true, where S and T are sets?

daser333 [38]

Answer:

There are no sets S, T for which

$S \cup T^c=S^c\cap T$

holds

Step-by-step explanation:

Let the set A be

$A=S\cup T^c$

By de De Morgan's Law

$A^c=S^c\cap ((T)^c)^c$

But

$((T)^c)^c=T$

$A^c=S^c\cap T$

We conclude that

$S \cup T^c=S^c\cap T\Rightarrow A=A^c$

which is a contradiction because no set is equal to its complement.

3 0

3 years ago

The solution to 2x-2+5=13 is

vodomira [7]

Answer:

x = 5

Step-by-step explanation:

Given

2x - 2 + 5 = 13, that is

2x + 3 = 13 ( subtract 3 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

4 0

4 years ago

I don’t understand this.. <br> will someone please help? Will mark Brainliest along with 20 points.

inn [45]

To say two quantities $a$ and $b$ "vary directly" with one another means that a change in one of the quantities results in a proportional change in the other quantity. For example, if $a=2b$ , then $b$ is proportional to $a$ by a factor of 2, or $a$ is proportional to $b$ by a factor of 1/2. In other words, if you change $b$ by some fixed amount, then $a$ changes by double that amount.

Mathematically this means there is some constant scaling factor $k$ such that $a=kb$ . In question 4, we're told $f(x)$ varies directly with $x^2$ , which means there's some $k$ such that

$f(x)=kx^2$

We're given that $f(x)=40$ when $x=2$ , so

$40=k\cdot2^2\implies40=4k\implies k=10$

Then when $x=5$ , we get

$f(5)=10\cdot5^2=10\cdot25=250$

- - -

For $a,b$ to "vary inversely" with one another means that a change in one quantity results in an "opposite" change in the other. In other words, if $a$ increases, then $b$ decreases, and vice versa.

Mathematically, this is the same as saying there is some fixed number $k$ such that $ab=k$ .

For example, if $k=1$ and we start with $a=1$ , then $b=1$ also. If we change to $a=2$ , then $b=\dfrac12$ ; if $a=10$ , then $b=\dfrac1{10}$ , and so on.

In question 5, we're told $f(x)$ varies inversely with $x$ , so that there is some constant $k$ for which

$x\,f(x)=k$

When $x=4$ , we have $f(x)=6$ :

$4\cdot6=k\implies k=24$

Then for $x=8$ , we get

$8\,f(8)=24\implies f(8)=3$

5 0

3 years ago

After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression

SIZIF [17.4K]

Answer: B.

First, we have to have a question for this problem to create a solution. So, the example sentence is how many granola bars does each student get.

Second, an algebraic expression has a variable in it. So since we are trying to find the number of students, the variable is s.

From looking at C and D, we can already eliminate them. This question has mostly multiplication and division words in it, so it can't be addition and multiplication.

Now, we only have A and B left. A tip on how to figure this out is reading the word problem out thoroughly. I will use B as an example. 5 boxes of granola bars were multiplied by the number of granola bars each student got. From reading this, it makes more sense. But it does change the example sentence, though.

I hope this helped and this is the right answer!

8 0

3 years ago

1

Readme [11.4K]

5/4x-2=-1/4x+16 5/4x+1/4x=18 6/4x=18 x=12 y=13 choose a. (12,13)

7 0

3 years ago

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