We are going to solve this problem two ways:
Solution 1. Graphical
If you plot the equation of temperature
for x between 0 and 160 minutes you'll get the plot in the attachement.
The blue curve represents the variation of the temperature in time. Notice that it crosses the red line (132 degrees <span>Fahrenheit</span>) twice, at around 20 F and 70 F.
So the answer is yes, if will reach 132 F.
Solution 2. Analytical
In order to see if the variation of temperature y(x) intersects 132 F line means to solve the equation:
Step 1. Write the equation in the quadratic form:
Step 2. Calculate the discriminant:
Only by looking at the discriminant we can see that it is positive, which means that it crosses the 132 F line in two points, which also means that there are two roots of the equation, both real numbers.
Step 3 (optional). Calculate the roots of the equation.
As you can see, tha analytic solution matches the graphic solution. At time x=20.5 minutes the temperatures reaches 132 F and is still rising. At time x=69.5 minutes the temperature is again 132 F but this time is decreasing.
You have to use the distributive property, therefore you get 2x+13/3.
The next step is to do 2 x 5 because they gave us a number for the variable x. Then you have to do 2 x 13 which gives us 26.
10+26=36 and 36/3=12, hope I helped, Have a nice day! :)
You can use some graph tools to draw three regressions for given data. On the attached diagram you can see:
- linear function - black line;
- quadratic function - red curve;
- exponential function - blue curve.
Since
you can conclude that for the given data the best fit is exponential function with rule
Answer: correct choice is C.
Answer:
Step-by-step explanation:The prism has 9 edges; the bases of the prism are triangles; and the prism has 5 faces.
Step-by-step explanation:
The bases of a prism are the faces that are parallel. In this prism, the only faces that are parallel are the two triangles. This means the bases are triangles.
In addition to the two parallel bases, there is a are three faces that join the sides of the bases. This makes a total of 2+3 = 5 faces.
The edges are where the faces meet. There are 3 edges around each base; this is 6. There are also 3 edges connecting the lateral faces; this makes 6+3 = 9 edges.
Answer:
It is h ≤ 7
Step-by-step explanation: