For this case we have the following product:
We must use the distributive property correctly to solve the problem.
We have then:
Then, we must add similar terms.
We have then:
Answer:
The final product is given by:
option 2
Answer:
-3
Step-by-step explanation:
Let x equal the mystery number
Our equation will be:
x - 5 = 1 + 3x
Subtract x from both sides
-5 = 1 + 2x
Subtract 1 from both sides
-6 = 2x
Divide both sides by 2
-3 = x
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
you take the positive value for it
f(-3) = |2×(-3)+1|+5 ➡ |-6+1| + 5 ➡ |-5|+5 = 5+5
Let
. Then
and
are two fundamental, linearly independent solution that satisfy
Note that
, so that
. Adding
doesn't change this, since
.
So if we suppose
then substituting
would give
To make sure everything cancels out, multiply the second degree term by
, so that
Then if
, we get
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)
Answer: 99% decrease
Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.
The amount of change is the difference between 6,000 and 60 and the original number is 6,000.
6,000 - 60 is 5,940 so we are left with 
and dividing 6,000 into 5,940 gives us 0<em>.</em>99.
Finally, since the problem is asking us for the <em>percent</em>, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.
So when a number changes from 6,000 to 60, it has decreased by 99%.
