Answer:
The average rate of change is:
Step-by-step explanation:
The rational function given to us is;
The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =
Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
Answer:
Ygggg
Step-by-step explanation:
Gggt
Answer:
The answer is 20812
The numeral system we use is a base ten numeral system. Base ten numeral numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The number has:
2 "tens thousands" = 2 * 10000 = 20000
0 "thousands" = 0
8 "hundreds " = 8 * 100 = 800
1 "tens" = 1 * 10 = 10
2 "ones" = 2 * 1 = 2
Sum all the results => 20000+800+10+2 = 20812
That is how you write a number using base ten numerals (numbers from 0 to 9)
Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
where:
- is the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- = ∠KLM
- A = LN = 8
- H = KL = 15.2
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
Given:
- r = 15.2
- ∠KLM = 58.24313614°