Answer:
The number of counties in state A are 70.
The number of counties in state B are 68.
Step-by-step explanation:
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138.
Let the two consecutive even integers be x and x+2.
As their sum is 138, we can denote this mathematically as :
Now, we get x = 68
And 
= 70
Hence, the two numbers are 68 and 70.
So, the number of counties in state A are 70.
The number of counties in state B are 68.
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
use calculating
Step-by-step explanation:
get a calculator and type it
Okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?
6x+1 = 3(2x-4)
-4(x+3) = 4(x-1)
