Evaluate the expression x<br> x(2 – 5y)²<br> when x= = -5 and y=-3.

Sonja [21]

$f(x)=\dfrac{4}{x}\qquad\qquad\qquad g(x)=\dfrac{4}{x}\\\\\\\\f(g(x))=f(\frac{4}{x})=\dfrac{4}{\frac{4}{x}}=4\cdot\dfrac{x}{4}=\boxed{x}\\\\\\\\ g(f(x))=g(\frac{4}{x})=\dfrac{4}{\frac{4}{x}}=4\cdot\dfrac{x}{4}=\boxed{x}$

so f and g are inverses.

6 0

3 years ago

HELP ME this is timed!!!

lidiya [134]

The profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have,

The revenue function:

R(x) = 450x

Cost function:

C(x) = 340x + 3300

We know, the profit function is given by:

P(x) = R(x) - C(x)

P(x) = 450x - (340x + 3300)

P(x) = 110x - 3300

Thus, the profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0

2 years ago

The figure shows △XYZ. XW⎯⎯⎯⎯⎯⎯ is the angle bisector of ∠YXZ .<br><br> What is WZ ?

Mnenie [13.5K]

Use the law of cosines to find the measure of angle YXZ.

$8^2=6.5^2+6^2-2(6.5)(6)\cos(\angle YXZ)$
$\cos(\angle YXZ)\approx0.1827$
$\angle YXZ\approx 1.3871\text{ rad}\approx79.4734^\circ$

This means angles YXW and WXZ share the same measure of about $39.7367^\circ$ .

Use the law of cosines again to find the measure of angle XZW.

$6.5^2=8^2+6^2-2(8)(6)\cos(\angle XZW)$
$\cos(\angle XZW)\approx0.6016$
$\angle XZW\approx0.9253\text{ rad}\approx53.0181^\circ$

This means the measure of angle XWZ is

$180^\circ=\angle WXZ+\angle XWZ+\angle XZW\implies \angle XWZ\approx87.25^\circ$

Now using the law of sines, you have

$\dfrac{\sin(\angle WXZ)}{WZ}=\dfrac{\sin(\angle XWZ)}6\implies WZ\approx3.84$

7 0

3 years ago

Read 2 more answers

Aubree wanted to see if there is a connection between the time a given exam takes place and the average score of this exam. She

Andrews [41]

Answer:

you can divide the answers by the time duration of the exam and get your answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

¿Cuál es el valor de la razón de cambio cuando tenemos un vaso con agua a temperatura ambiente al congelador por 15 minutos?

grandymaker [24]

Answer: $2 \°C/min$

Step-by-step explanation:

The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:

Temperature in $\°C$

Time in $min$

Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature $\Delta T$ divided by the time variation $\Delta t$ .

Hence, assuming the ambient temperature of the glass is $30 \°C$ and the elapsed time $15 min$ we have:

$\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}$

5 0

4 years ago

Evaluate the expression x x(2 – 5y)² when x= = -5 and y=-3.