If you would like to solve x^5 * x^4 * x^3, you can do this using the following steps:
<span>x^5 * x^4 * x^3 = x^(5 + 4 + 3) = x^12
</span>
The correct result would be x^12.
Answer:
The mean value theorem is valid if f(x) is continuous in the interval (0,3) and differentiable in the interval (0,3), the problem is that f(x)=2−|4x−2| is not differentiable in x = 1/2 because 4*1/2 - 2 = 0 and the function |x| is not differentiable in x = 0.
f'(x) = (-4)*(4x−2)/|4x−2|
f(3) = 2−|4*3−2| = 8
f(0) = 2−|4*0−2| = 0
Replacing in f'(c) = f(3)−f(0)/(3−0)
(-4)*(4c−2)/|4c−2| = (8 - 0)/3
(-4)*(4c−2)*3/8 = |4c−2|
-3/2*4c + 3/2*2 = |4c−2|
-6c + 3 = |4c−2|
That gives us two options
-6c + 3 = 4c−2
5 = 10c
1/2 = c
or
6c - 3 = 4c−2
-1 = -2c
1/2 = c
But f'(1/2) is not defined, therefore there is no value of c such that f(3)−f(0)=f'(c)(3−0).
Answer:
1000 miles
Step-by-step explanation:
Given the following :
Number of miles driven :
First trip = 240 miles
Second day = 205 miles
Third day = 315 miles
Fourth day; miles driven before arriving at their final destination = 220 miles
Total number of miles driven after 4 days before reaching their destination :
(240 + 205 + 315 + 220) = 980 miles
However, they still haven't reached their destination ;
Using front end estimation :
We can take the total miles recorded and make an estimation based on the first digit of the recorded miles traveled:
In other to estimate 980 using front end estimation : the actual number is replaced with a number with only one nonzero digit (which is the first digit)
Hence,
980 - - - - > we round the digit after 9 either 1 or 0, since it is greater than 4, then it is rounded to and added to the first digit, all subsequent dots are rounded to zero
Hence 980 - - - - > 1000
Hence, estimated miles driven = 1000 miles
Answer:
S
Step-by-step explanation:
x - 2y = -4 solve for y to find slope
x - 2y = -4 - subtract x from both sides
-2y = -x - 4 divide y -2 on both sides
-2 -2
y = 1/2x + 2 (-x/-2 is -1/-2x of 1/2x)
