Answer:
<h3>(A)</h3>
The answers will have the same value, beacuse both scientific notations have the same coefficient, 4.2 and 1.4. Also, if you mentally subtract the exponents of those powers, you would have the same exponent. So, equal coefficient and equal exponent will give the same result.
<h3>(B)</h3>
The value of each expression can be found by dividing coefficients and powers.

<h3>(C)</h3>
The value of each expression in standard form is

Remember that standard form refers to the number without the ten-power.
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
To find g(x), we can start with the inverse of f(x).
f(y) = x . . . . . . . solve this to find f^-1(x)
3y -2 = x
3y = x +2 . . . . add 2
y = (x +2)/3 = f^-1(x) . . . . divide by 3
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Now, we can find g(x):
f^-1(f(g(x)) = g(x)
f^-1(6x -2) = ((6x -2) +2)/3 = g(x)
6x/3 = g(x) = 2x
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Now, we want g(f(x)) = 8
g(3x -2) = 8
2(3x -2) = 8
6x -4 = 8
6x = 12
x = 2 . . . . makes g(f(x)) = 8
The area of square: s · s = s²
The area of rectangle: (s + 6) · s = s(s + 6)
So:
s² + s(s + 6) = 56
s² + s(s + 6) - 56 = 0
Answer D.
Answer:
90
Step-by-step explanation:
If z varies inversely as w^2 then:
z=k/(w^2)
z=10 when w=6:
10=k/36---> k=360
z=k/2^2
z=360/4=90