Plz help me no link there is a screenshot

Help needed math 3 - 10 points read closely

inessss [21]

<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

$f(-3)=-\frac{1}{3}$

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

$\left \{ {{\frac{1}{x}, if x$

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

$f(x)=\frac{1}{x}$

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

$f(x)=x^{2}$

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

$-3$

So, evaluating the function we have:

$f(x)=\frac{1}{x}$

$f(-3)=\frac{1}{-3}$

$f(-3)=-\frac{1}{3}$

Hence, we have that the answer is the fourth option,

$f(-3)=-\frac{1}{3}$

Have a nice day!

7 0

3 years ago

What is the value of x?

ioda

Answer:

50.714 (3 dp)

Step-by-step explanation:

Using trigonometry.

$cos(\theta)=\frac{adj}{hyp} \\adj = hyp * cos(\theta)\\120*cos(65) = 50.714$

7 0

3 years ago

Need help please help me

ANTONII [103]

Megan:
x to the one third power = $x ^{1/3}$
<span>x to the one twelfth power = </span> $x ^{1/12}$

<span>The quantity of x to the one third power, over x to the one twelfth power is:
</span> $\frac{x ^{1/3}}{x ^{1/12}}$
<span>
Since </span> $\frac{ x^{a} }{ x^{b} } = x ^{a-b}$
then $\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}$

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

$\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}$

Julie:
x times x to the second times x to the fifth = x * x² * x⁵

<span>The thirty second root of the quantity of x times x to the second times x to the fifth is
</span> $\sqrt[32]{x* x^{2} * x^{5} }$
<span>
Since </span> $x^{a}* x^{b}= x^{a+b}$
Then $\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }$

Since $\sqrt[n]{x^{m}} = x^{m/n} }$
Then $\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}$

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.

3 0

3 years ago

What is the difference of 8 times a number r and 12?

lapo4ka [179]

Answer:

The difference of 8 times a number r and 12 is solved for a number r and is given by $r=\frac{3}{2}$