5, because -5 is a real solution, meaning it’s by itself. 1+4i and -4i are imaginary solutions, and all imaginary solutions, or “i”s have a pair. So the three solutions above, plus the two that go with the imaginary solutions all add up to 5. :)
Let x be the smaller number and y the larger:
As the numbers are consecutive y - x = 1
And 3y + x = 31 (3 times the large added to the smaller)
From the first equation y = x + 1
By substituting:
3(x + 1) + x = 31
3x + 3 + x = 31
4x = 28
x = 7
y = x + 1
y = 7 + 1 = 8
I think it’s 5 but I I’m positive but I hope it helps
Answer:
6-n
Step-by-step explanation:
The first term, a is 5 and the common difference is - 1.
So an=a+(n-1)d, an=5+(n-1)(-1)=5-n+1=6-n. Answered by Gauthmath
Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.