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" .
Here!
(x+4)+(x+2)+(x+5)= (x+1)+(x+1)+(x+3)+(x+3)
First you want to write the whole equation out. Make each perimeter equal to each other.
Then add both sides separately.
(x+4)+(x+2)+(x+5)
=3x+11
and
(x+1)+(x+1)+(x+3)+(x+3)
=4x+8
Now that you've simplified each side, solve like a normal equation.
3x+11 = 4x+8
-3x -3x
11 = x+8
-8 -8
3=x
3.45 acres
solution :
3.75+3.75= 7.5
7.5-2.9 = 4.6
4.6×.25= 1.15
4.6-1.15= 3.45
A. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.
b. This is incorrect, because this contradicts with choice a.
c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.
d. This is incorrect, because it is not equivalent to the given equation.
<em>Thus, the answers are A and C.</em>
