Answer:
The number is 11
Step-by-step explanation:
6x+38=9x+5
3x=33
x= 11
Answer:
Since the base is the same, we can just multiply the exponents, and when we do so we get y^6.
Answer:
20
Step-by-step explanation:
3/8* 32= 12
32-12=20
12 Girls
20 Boys
The black line is shorter than the gray. Let's simplify the rules. (B=Black, W=White, G=Grey
B is less than W which is less than G
That means G is greater than W. B is less than W, which is less than G. Therefore, the black line is not only shorter than the Gray one, but also the shortest out of the three.
I hope this Helps!
<span> Direct-substituting x = -2 gives 0/0, so we know that by the factor theorem, both the numerator and denominator have a factor of x + 2. From there, we can cancel out the conflicting factors and apply the limit.
We can factor the numerator and denominator to get:
x^3 - x^2 - x + 10 = (x + 2)(x^2 - 3x + 5)
x^2 + 3x + 2 = (x + 2)(x + 1).
So we have:
lim (x-->-2) (x^3 - x^2 - x + 10)/(x^2 + 3x + 2)
= lim (x-->-2) [(x + 2)(x^2 - 3x + 5)]/[(x + 2)(x + 1)]
= lim (x-->-2) (x^2 - 3x + 5)/(x + 1), by canceling out x + 2
= [2^2 - 3(-2) + 5]/(-2 + 1)
= (4 + 6 + 5)/(-1)
= -15.
I hope this helps! </span>
