Question
Function
Find the x-intercept/zero
Find the y-intercept
Find the slope
x=700
Evaluate
x%=y+7
To find the x-intercept,set y=0
x%=0+7
Calculate
More Steps

Evaluate
x%
By definition p%=p×0.01
x×0.01
Use the commutative property to reorder the terms
0.01x
0.01x=0+7
Removing 0 doesn't change the value,so remove it from the expression
0.01x=7
Divide both sides
0.010.01x=0.017
Divide the numbers
x=0.017
Solution
More Steps

Evaluate
0.017
Convert the decimal into a fraction
10017
Multiply by the reciprocal
7×100
Multiply the numbers
700
x=700
Show Solution

Solve the equation
Solve for x
Solve for y
x=100y+700
Evaluate
x%=y+7
Calculate
More Steps

Evaluate
x%
By definition p%=p×0.01
x×0.01
Use the commutative property to reorder the terms
0.01x
0.01x=y+7
Divide both sides
0.010.01x=0.01y+7
Divide the numbers
x=0.01y+7
Solution
More Steps

Evaluate
0.01y+7
Convert the decimal into a fraction
1001y+7
Multiply by the reciprocal
(y+7)×100
Apply the distributive property
y×100+7×100
Use the commutative property to reorder the terms
100y+7×100
Multiply the numbers
100y+700
x=100y+700
Show Solution

Testing for symmetry
Testing for symmetry about the origin
Testing for symmetry about the x-axis
Testing for symmetry about the y-axis
Not symmetry with respect to the origin
Evaluate
x%=y+7
Simplify the expression
0.01x=y+7
To test if the graph of 0.01x=y+7 is symmetry with respect to the origin,substitute -x for x and -y for y
0.01(−x)=−y+7
Evaluate
−0.01x=−y+7
Solution
Not symmetry with respect to the origin
Show Solution

Rewrite the equation
Rewrite in polar form
Rewrite in standard form
Rewrite in slope-intercept form
r=cos(θ)−100sin(θ)700
Evaluate
x%=y+7
Evaluate
More Steps

Evaluate
x%
By definition p%=p×0.01
x×0.01
Use the commutative property to reorder the terms
0.01x
0.01x=y+7
Multiply both sides of the equation by LCD
0.01x×100=(y+7)×100
Simplify the equation
x=(y+7)×100
Simplify the equation
More Steps

Evaluate
(y+7)×100
Apply the distributive property
y×100+7×100
Use the commutative property to reorder the terms
100y+7×100
Multiply the numbers
100y+700
x=100y+700
Move the expression to the left side
x−100y=700
To convert the equation to polar coordinates,substitute x for rcos(θ) and y for rsin(θ)
cos(θ)×r−100sin(θ)×r=700
Factor the expression
(cos(θ)−100sin(θ))r=700
Solution
r=cos(θ)−100sin(θ)700
Show Solution

Find the first derivative
Find the derivative with respect to x
Find the derivative with respect to y
dxdy=0.01
Calculate
x%=y+7
Simplify the expression
0.01x=y+7
Take the derivative of both sides
dxd(0.01x)=dxd(y+7)
Calculate the derivative
More Steps

Evaluate
dxd(0.01x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
0.01×dxd(x)
Use dxdxn=nxn−1 to find derivative
0.01×1
Any expression multiplied by 1 remains the same
0.01
0.01=dxd(y+7)
Calculate the derivative
More Steps

Evaluate
dxd(y+7)
Use differentiation rules
dxd(y)+dxd(7)
Evaluate the derivative
More Steps

Evaluate
dxd(y)
Use differentiation rules
dyd(y)×dxdy
Use dxdxn=nxn−1 to find derivative
dxdy
dxdy+dxd(7)
Use dxd(c)=0 to find derivative
dxdy+0
Evaluate
dxdy
0.01=dxdy
Solution
dxdy=0.01
Show Solution

Find the second derivative
Find the second derivative with respect to x
Find the second derivative with respect to y
dx2d2y=0
Calculate
x%=y+7
Simplify the expression
0.01x=y+7
Take the derivative of both sides
dxd(0.01x)=dxd(y+7)
Calculate the derivative
More Steps

Evaluate
dxd(0.01x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
0.01×dxd(x)
Use dxdxn=nxn−1 to find derivative
0.01×1
Any expression multiplied by 1 remains the same
0.01
0.01=dxd(y+7)
Calculate the derivative
More Steps

Evaluate
dxd(y+7)
Use differentiation rules
dxd(y)+dxd(7)
Evaluate the derivative
More Steps

Evaluate
dxd(y)
Use differentiation rules
dyd(y)×dxdy
Use dxdxn=nxn−1 to find derivative
dxdy
dxdy+dxd(7)
Use dxd(c)=0 to find derivative
dxdy+0
Evaluate
dxdy
0.01=dxdy
Swap the sides of the equation
dxdy=0.01
Take the derivative of both sides
dxd(dxdy)=dxd(0.01)
Calculate the derivative
dx2d2y=dxd(0.01)
Solution
dx2d2y=0
Show Solution
