Answer:
y = 8x + 4
Step-by-step explanation:
combine 1/2 and y:
-4x + y/2 = 2
add 4x to both sides:
+4x -4x + 1/2y = 2 +4x
mutiple both sides by 2 :
2 (y/2) = 2 (2 +4x)
simplify both sides:
y= 8x + 4
Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
So V=(4/3) * 3.14 * 13^3 = 9198 cubic inches
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
I really hope this helps.
Correct or false question? if so, it’s false :)
given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.
(2,57) and (6,57)
When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.
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" .
