Answer:
D. 8/2 +(-10)² = 104
Step-by-step explanation:
To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.
The respective expression values are ...
A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83
B 31 ≠ 61
C 52 ≠ 61
D 104 =104 . . . . true statement
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I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.
Answer:
The ratio of red to blue would be 60: 6 which can be simplified to 10:1.
Answer:
The answer is 8.1 h
Good luck!!!!!
Step-by-step explanation:
Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Direct variation has this equation:
y = kx
where k is the constant of variation
y = -5 ; x = -15
y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k
Choice D. y = 1/3 x
