In order to find which is the answer, we will go step-by-step. Numbers that are not followed by I are drawn on the Real Axis and the other ones are drawn on the Imaginary Axis. You go first on the Real Axis and then on the Imaginary Axis and intersect those 2 points. If a number does not have an imaginary or real part you can assume that is equal to 0. As you can notice the number that is not in the shaded area is <span>2 − I</span>
Answer:
The boat traveling at 24 kph when John goes downstream.
Step-by-step explanation:
We are given the following in the question:
John has a boat that will travel at the rate of 15 kph in still water.
Let x be the speed of the current.
Speed of boat in upstream

Speed of water in downstream

Relation:

We have to find the speed of boat in downstream.
Time to travel upstream for 35 km = Time to travel 140 km downstream

Thus, speed of current is 9 kph.
Speed of boat in downstream = 15 + 9 = 24 kph.
Thus, the boat traveling at 24 kph when John goes downstream.
Answer: 29 and 24
Step-by-step explanation:
Since one number is 5 more than another
53-5 = 48
Then we divide that by two to get the value of one of the two numbers
48/2= 24
In order to get the number which is 5 more than the other, we add 5
24+5= 29
So the two numbers would be 29 and 24.
Check:
29+24= 53
Answer:
D, infinitely many solutions
Step-by-step explanation:
1. multiply out
5(x-3) = 5x-15
2. combine like terms
5x-15-3x=8x-15-6x = 2x-15=2x-15
they are equal so there are infinite solutions.
<span>f(x)=(x^2 -2x)(3x-1) is a product and is most easily differentiated using the product rule:
f '(x) = (x^2 - 2x)(3) + (3x-1)(2x-2)
Now subst. 2 for x in this equation. We get:
f '(2) = (2^2 - 2(2))*3 + (3(2)-1)(2(2) -2), or
=3(4-4) + (6-1)(2) so f '(2) = 10 (answer)</span>