Part A.
Y intercept is the coordinate (0,y), when the function has an x value of 0, it is the y intercept.
In this case:
(0,5) =
y intercept = 5
IT tells about the turtle that it starts at a nest displacement of 5 miles.
Part B
The average rate of change represents the speed .
x1=1 ,y1=27
x2=4 ,y2=93
We have to calculate the slope if the function:
Replace:
Part C.
speed = distance /time
time= distance / speed
time= 225 / 22 = 10.22 hours
The domain will be
0< x ≤ 10.22
Answer:
2.
x³+2x²+5x+10
x²(x+2)+5(x+2)
taking common
(x+2)(x²+5) is your answer
a³-a²b²-ab+b³
taking common
a²(a-b²)-b(a-b²)
taking common
(a-b²)(a²-b)
If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16
If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12
<em>Make sure to check which one is the correct function!</em>
Answer:
1156
Step-by-step explanation:
We know that,
( a + b ) ² = a² + 2ab + b²
We can follow the same method to find the value of this.
12² + 22²
( 12 + 22 ) ²
12² + 2 × 12 × 22 + 22²
144 + 24 × 22 + 484
144 + 528 + 484
672 + 484
<u>1156</u>
Let me know if you have any other questions. :)
Answer:
she can knit 1mm/17.5min or she can knit 1mm in 17 minutes and 30 seconds.
