If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%? if z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant when y is increased by 15%?

32.25%

Step-by-step explanation:

The equation of variation is z = ky/√x

When y is increased by 15%, we have value of y = 1.15y.

To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.

Therefore x must be increased by 0.3225 or 32.25%.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !