Question

**12.** y varies directly as x. y = 12 when x = 5.
Find y when x =2

Y = _?__ (Simplify your answer).

**13.**

y varies directly as x and inversely as the square of z. y =48 when x =64 and z= 4. Find y when x= 2 and z =4.

Y = _?__ (Simplify your answer. Type an integer or a simplified fraction).

Answer #1

Z
varies directly as x^3 and inversely as y^3. If z=240 when x=3 and
y=6, find z when x=5 and y=4.

(a) If y varies inversely with x3
and y = 310 when x = 2, find an equation to
represent this relationship.
y
=
(b) Find y when x = 3. (Round your answer to two
decimal places.)
y =
(c) Find x when y = 38.75.
x =

Variation
Direct Variation y = kx is equivalent to the statements
y varies directly as x
y is directly proportional to x
Worksheet
1. The number of patients Dr. Wong can see varies directly as
the time it takes her to see them. If she can see 11 patients in 3
hours, how long it take her to see 66 patients?
2. The speed of a vehicle varies inversely as the time it takes
to travel a fixed distance. If...

Find the indicated maximum or minimum value of f subject to the
given constraint.
Minimum: f(x,y)=2 x^2 + y ^2 + 2 xy + 3 x + 2 y
; y^2 = x + 1
The minimum value is -------------.
(Type an integer or a simplified fraction.)

Give the slope and y-intercept of the line whose equation is
given below. Then graph the linear function. y equals -7x + 5
The slope of the line is -7? (Simplify your answer.)
The y-intercept is 5? (Type an integer or a simplified
fraction.)
Use the graphing tool to graph the linear equation. Use the
slope and y-intercept when drawing the line.
Please help verify, I don't understand the calculation to graph
the linear function?

1. Answer the questions about the following
function.
f(x) = x + 11 / x - 9
(a) Is the point (4, - 17 /3) on the graph of f?
A. Yes, because substituting x = - 17 / 3 into the given
equation results in 4.
B. Yes, because substituting x = 4 into the given equation
results in - 17 / 3.
C. No, because substituting x = 4 into the given equation does
not result in -...

Find the square root that is a real number.
negative StartRoot negative 4
EndRoot
Select the correct choice below and, if necessary, fill in the
answer box within your choice.
A.
The real number square root is
nothing
.
(Simplify your answer. Type an integer or a fraction.)
B.
The square root is not a real number.

Find the tangent plane to the given surface of
f(x,y)=6- 6/5 x-y at
the point (5, -1, 1). Make sure that your final answer for the
plane is in simplified form.

A) Suppose X ~ N(12, 1).
What value of x has a z-score of −2.25? (Enter an
exact number as an integer, fraction, or decimal.)
x =
B) Suppose X ~ N(−1, 4).
What is the z-score of x = 10? (Enter an
exact number as an integer, fraction, or decimal.)
z =
C) Suppose X ~ N(4, 1). What
is the z-score of x = 4? (Enter an exact
number as an integer, fraction, or decimal.)
z =
D)...

Find the distance traveled by a particle with position
(x, y) as t varies in the given time
interval.
x = 4 sin2(t), y =
4 cos2(t), 0 ≤ t ≤ 2π
What is the length of the curve?

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