Answer:
6x¹⁰ - 96x²
6x²(x⁸ - 16)
B) 6x²(x⁸ - 16)
6x²[(x⁴)² - 4²]
6x²[(x⁴ - 4)(x⁴ + 4)]
6x²(x⁴ + 4)[(x²)² - 2²]
6x²(x⁴ + 4)(x² - 2)(x² + 2)
Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
Answer:
Amy
Step-by-step explanation:
Find their amounts of cheese per serving by dividing the cups of cheese by the number of people:
Sarah:
2.5/10
= 0.25
Amy:
1.6/8
= 0.8
Since 0.8 is bigger than 0.25, Amy has more cheese per serving.
Answer:
0.47 and 11.53
Step-by-step explanation:
h = 60t − 5t²
27 = 60t − 5t²
5t² − 60t + 27 = 0
Quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)
t = (60 ± √3060) / 10
t = 0.47 or 11.53
Answer:
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.
Step-by-step explanation:
