with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2
m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4
Answer:
The answer to your question is:
Domain: (-∞, ∞)
Range: [10, ∞)
Step-by-step explanation:
Data
Graph y = 5x² + 3x + 10
Process
As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.
See the graph below.
Domain: are the possible values of the independent variable.
Range: are the reslunting values of the dependent variable.
Then
Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are
not included.
Range : [10, ∞) It is close because 10 is included.
Answer:
the bicycle will travel 277.5 feet or 3,330.1 inches.
Step-by-step explanation:
the circumference(distance around a tire) is calculated by multiplying a circles diameter by pi. the diameter is twice the length of the radius.
so if you multiply 13 1/4 by 2 you get 26 1.5 if you multiply that by pi than you get the circumference. then multiply this by 40 to get the inches traveled and divide that by 12 to get the number of feet traveled.
The formula of a lateral area of a cylinder:
![LA=2\pi rH](https://tex.z-dn.net/?f=LA%3D2%5Cpi%20rH)
We have r = 9 yd and H = 4 yd. Substitute:
![LA=2\pi(9)(4)=72\pi\ yd^2](https://tex.z-dn.net/?f=LA%3D2%5Cpi%289%29%284%29%3D72%5Cpi%5C%20yd%5E2)