Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer:
9 shelves or 9000 books
Step-by-step explanation:
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Answer:
x > 133/45
WORKING :
Multiply the number : 4 . 6 = 24
24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)
expand 24(9 - x) - 6(4 -7x) : 18x + 192
expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59
18x + 192 > -27x + 59
subtract 192 from both sides
18x + 192 - 192 > -27x + 59 - 192
simplify
18x > -27x - 133
add 27x to both sides
18x + 27x > - 27x - 133 + 27x
simplify
45x > - 133
Divide both sides by 45
45x/45 > 133/45
Simplify
x > 133/45
FINALLY ANSWER :
X > 133/45