Average rate of change means find the slope of the secant line. So if there is a function f(x) and you want to find the average R.O.C over the interval [a,b], it would be (f(b)-f(a))/(b-a)
1. (f(3)-f(1))/(3-1)= (0-(-2))/2= 1, so D.
2. Same concept; (8-4)/(3-1)=2, so A.
3. Again, (39-(-1))/5= 8, B.
Answer:
yes, it is equivalent!!
Step-by-step explanation:
6(3x + 1) = 18x + 6
9x + 6 + 9x combined will also equal 18x + 6
Question 7:
Diameter = 6.2 cm so Radius = 3.1 cm
A=πr² = 3.14 × 3.1² = 30.1754 cm² = 30.18 cm²
Question 8:
Circumference = 2πr
16π = 2πr
therefore 16 = 2r so r = 8cm
Printer A prints for 10 minutes, so prints
... (30 pages/minute)×(10 minutes) = 300 pages
Printer B prints for 7 minutes, so prints
... (40 pages/minute)×(7 minutes) = 280 pages
At the end of 10 minutes, the two printers will have printed
... 300 pages + 280 pages = 580 pages
Answer:
∠ WUV = 36°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ VWX is an exterior angle of the triangle, thus
8x - 18 = 2x + 8 + 3x + 16
8x - 18 = 5x + 24 ( subtract 5x from both sides )
3x - 18 = 24 ( add 18 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Thus
∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°
