Answer:
B. N(c) = (c-20)/n
Step-by-step explanation:
Given
C(n) = 10n+20
we have to find the inverse of this function
we have to express n in terms of C(n)
C(n) = 10n+20
we have make n independent of n and remove any other term containing on the side of n
subtracting 20 from LHS and RHS
C(n) - 20 = 10n+20 - 20
C(n) - 20 = 10n
dividing LHS and RHS by 10
C(n)/10 - 20/10 = 10n/10
=> n = (C(n) - 20)/10
Now given in problem, N(c) is no of bushels picked
and c is the cost of apple
so in function n = C(n) - 20/10
we replace C(n) with c
and n with N(c)
and then we have
N(c) = (c-20)/n Answer
The first answer is 9130000
I had a similar worksheet but I got it done a while ago soooooo sorry
Answer:
A) Graph an quadratic equation for a parabola (x being to the power of 2), and a linear equation. Examples would be y=x² and y=x.
B) Parabolas that share the same vertex can simply have another transformation done to them. For example: y= 5x² and y=3x².
C) A line that would pass through these would be any linear graph WITHOUT a 'b' value, so a y intercept of 0. An example would be y=5x.
The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)
<em><u>Solution:</u></em>
Given that,

<em><u>We have to substitute eqn 1 in eqn 2</u></em>






Substitute x = 2.1925 in eqn 1
y = 2.1925 + 3
y = 5.1925
Substitute x = -3.1925 in eqn 1
y = -3.1925 + 3
y = -0.1925
Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
. The vertex form is
and filling in our values from above:
and
and
-4 = a. So the equation for the parabola is
. Now set it equal to 0 and factor.
and divide both sides by -4 to get:
and take the square root of both sides to get
±
and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!