F(x)=|x-6| written as piecewise function

Mathematics

1 answer:

Elan Coil [88]3 years ago

5 0

I’m not sure if this was what you wanted but I used an app to calculate it.

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water in a canal , 6m wide and 1.5m deep , flowing with a speed of 10km/h . How much area will it irrigate in 30 minutes , if 8

icang [17]

The area covered by the canal in 30 mins is 562500 sq m

Step-by-step explanation:

Step 1 :

Given,

The canal's width = 6 meter

The canal's Depth is given as 1.5 meter

Speed of the water flowing = 10 kilometer per hour

We need to determine the area which will be irrigated in 30 mins

Step 2 :

In one hour the canal flows 10 kilometer , therefore in 30 minutes it covers 5 kilometer = 5 × $10^{(3)}$ meter

Hence the volume of the water irrigated per 30 minutes = 6 × 1.5 × 5 × $10^{(3)}$

= 45 × $10^{(3)}$ cubic meter

The standing water is 8 centimeter = 8 × $10^{(-2)}$ meter

Hence the area covered in 30 min = Volume ÷ the height of the standing water

= (45 × $10^{(3)}$ ) ÷ 8 × $10^{(-2)}$ meter

= 562500 square meter

Step 3 :

The area covered by the canal in 30 mins is 562500 square meter

4 0

3 years ago

Question 13 <br>y = - X + X^2

ankoles [38]

We have the following function that is a quadratic function:

$y=-x+x^2$

So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:

$y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1$

As you can see in the figure. This function decreases from $(-\infty,0.5)$ and increases from $(0.5, \infty)$

Finally, it is important to note that the vertex is the point:

$V(0.5,-0.25)$

The answer is the second graph.