Answer:
(B) I only
Step-by-step explanation:
450y = n³
y = n³ / 450 = n³ / (3² * 2 * 5²)
in order to keep y and n be positive integer, the minimal requirement for n³ is n³ = (3³ * 2³ * 5³)
y = n³ / 450
= n³ / (3² * 2 * 5²)
= (3³ * 2³ * 5³) / (3² * 2 * 5²)
= 3*2²*5
∴ I. y / (3*2²*5) = ((3³ * 5³ * 2³) / (3² * 5² * 2)) / (3*2²*5) = 1 ... that keep answer as the smallest positive integer .... Correct answer
II. y / (3²*2*5) = ((3³ * 5³ * 2³) / (3² * 5² * 2)) / (3²*2*5) = 2/3 ...not integer
III. y / (3²*2*5) = ((3³ * 5³ * 2³) / (3² * 5² * 2)) / (3*2*5²) = 2/5 ...not integer
Answer:
x-7/5=13, x=58
Step-by-step explanation:
x=58
10×+30=12×
10×-12×=-30
-2×=-30
×=15
Compare y = 4x - 3 to the standard
y = mx + b.
You can see immediately that the slope, m, is 4 and that the y-intercept, b, is -3. The error lay in the explanation (see the problem statement) that the y-intercept is 3. That's not correct.
Answer:
Step-by-step explanation:
When we divide powers with the same base (in this case, that same base is 7), we can just combine the powers into one number with an exponent as the difference of the original exponents.
For example, here we have , which is equal to .
Now, we're taking the square of 7^3, so we just multiply the exponents:
Thus, the answer is .
Hope this helps!