for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one
Solve the system of equations. \begin{aligned} & -5x+13y = -7 \\\\ & 5x+4y=24 \end{aligned} −5x+13y=−7 5x+4y=24 x=x=
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Answer:
The hourly fee for rototiller is $3 per hour.
Step-by-step explanation:
We are given the following in the equation:
The rental company charged an initial fee of $43 with an additional fee per hour.
Let h represents the hourly fee.
The family paid $64 after renting the rototiller for 7 hours.
Thus, we can write the equation:
Solving the equation, we get,
Thus, the hourly fee is $3 per hour.
Equation:
where C(x) is the cost function and x is the number of hours rototiller is rented.
The hourly fee for rototiller is $3 per hour.
Answer:
( , 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x = =
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3( )² + 2
= (3 × ) + 2
= +
=
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is ( , 8 )