1) The graph
The corresponding graph shows a growing curve, its shape is kind of the right half of a parabola that opens upward and starts at the point (0, 2500).
The vertical axis corresponds to C(j), it contains divisions of 2500 units, and are marked 2500, 5000, 7500, 10000, 12500, 15000 and 17500.
The horizontal axis corresponds to j, and the marks are 75, 150, 225, 300, 375, and 450.
2) Domain
Domain is the set of possible values for the independent variable, which is placed on the horizontal axis. This is the possible values of j.
They are all the positive numbers and zero, the the domain is:
All real numbers, j, such that j ≥ 0
3) Range
Range is the set of possible images (dependent variable); this is the possible values of C(j).
As you can see on the graph C(j) ≥ 2500
Then, the range is [2500, ∞).
8,088 rounds to 8,000 to the nearest thousand.
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
)
2 to
x2
−
4
x
⇒
x
2
+2(−
2
)
x
+
4
−
4
−
3
=
0
⇒
(
x
−
2
)2
−
7
=0
⇒
(
x
−
2
)
2
=
7
take the square root of both sides
⇒
x
−
2
=
±
√
7
←
note plus or minus
⇒
x
=
2
±
√
7←
exact solutions
Answer:
The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.
Step-by-step explanation:
Answer:
y = -.5x -.5
Step-by-step explanation:
All you do is plug in the x and y in the point to the equation, y = mx + b. Since the coordinate is (5, -3), this in the equation would look like -3 = -.5(5) +b. (all you need to find is the y-intercept, or b.) Solve it out to get -3 = -2.5 + b. Add 2.5 to each side of the equation, you're left with b = -.5. Now, put that back into the original equation, and get y = -.5x -.5. I think this is right, you can go back through and check once more if you'd like.
