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3 years ago

What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2

Mathematics

1 answer:

pychu [463]3 years ago

4 0

X + 7/2 = 3 x+1/2
x + 4/2 = 2 x/2

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Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is les

Tamiku [17]

It looks like we have

$f(x)=\begin{cases}5-x&\text{for }x5\end{cases}$

and we want to find $\lim\limits_{x\to5}f(x)$ .

Since $x$ is approaching 5, we don't care about the value of $f(x)$ when $x=5$ .

We do care about how $f(x)$ behaves to either side of $x=5$ . If $x\to5$ from below, then $f(x)=5-x$ , so that

$\displaystyle\lim_{x\to5^-}f(x)=\lim_{x\to5}(5-x)=5-5=0$

On the other hand, if $x\to5$ from above, then $f(x)=x+3$ , so that

$\displaystyle\lim_{x\to5^+}f(x)=\lim_{x\to5}(x+3)=5+3=8$

The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.

6 0

4 years ago

How do you solve 1-(6-3)

atroni [7]

Answer:

-2

Step-by-step explanation:

1-(6-3)

<em>multiply the negative into the bracket so it becomes</em>

= 1-6+3

= -2

4 0

3 years ago

A square has a perimeter of 8 cm. What is its area?

serious [3.7K]

A square has four sides which all have the same length.

So if we call the length of each side of the square 'a'

The sum of length of all the sides (the perimeter) will be ,

a + a + a + a = 4a

Now let's equal this to the perimeter to find the length of each side 'a'

$4a\quad =\quad 8\\ \\ a\quad =\quad \frac { 8 }{ 4 } \\ \\ a\quad =\quad 2$

So the length of each side of the square is 2 cm

To find area of a square we multiply the length of its two sides

So,

$a\cdot a$ is the area of the square,

$a\cdot a=\quad 2\cdot 2\quad =\quad 4\\ \\ 4\quad c{ m }^{ 2 }$

The answer :

$\boxed { 4\quad c{ m }^{ 2 } }$

6 0

3 years ago

Read 2 more answers

9 Which expression is equivalent to 53p + (16p+7p)?

earnstyle [38]

Answer:

$D) (53p+16p)+7p$