If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.
"Twice the largest is 20 less than the sum of all three" translates to
2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20
Solve for <em>x</em> :
2<em>x</em> + 8 = 3<em>x</em> - 10
<em>x</em> = 18
Then the three numbers are {18, 20, 22}.
Answer: ![c+3m](https://tex.z-dn.net/?f=c%2B3m)
Step-by-step explanation:
Given
A telephone call costs c cents for first 3 minutes and m cents for each additional minute.
Any call beyond 3 minutes costs
![\Rightarrow c+mt](https://tex.z-dn.net/?f=%5CRightarrow%20c%2Bmt)
where t is the minutes spent beyond 3 minutes
For 6 minutes , t is 3
thus, it can be written
![\Rightarrow c+3m](https://tex.z-dn.net/?f=%5CRightarrow%20c%2B3m)
Answer:
14
Step-by-step explanation:
Answer:
(I can not see the options, so I will answer in a general way)
When we have a system of linear equations:
y = a*x + b
y = c*x + d
We have 3 possible options:
One solution: This happens when the lines intersect only one time, and the solution of the system is the point where the lines intersect.
No solutions: This happens when the lines do not intersect, is the case for parallel lines (lines with the same slope but different y-intercept)
Infinite solutions: This happens when the lines do intersect at infinite points, is the case for two equal lines (so both equations represent the same line)
Now we have the system:
y = m*x + b
y = -2*x + A
We want to find values of m and b, such that this system has no solutions.
Then we know that the lines must be parallel, again, the lines must have the same slope but different y-intercept.
Then we can use:
m = -2, b = A + 1
we will get:
y = -2*x + (A + 1)
y = -2*x + A
This system has no solutions.
Other pair can be:
m = -2, b = A + 3
we will get
y = -2*x + (A + 3)
y = -2*x + A
This system has no solutions.
Answer:
8 + 4i
Step-by-step explanation:
according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i