Domain: The set of possible values of x
Range: The set of possible values of y
Zeros: The x-intercepts (what value of x is on the x-axis)
Discontinuities: Where the graph stops (and restarts somewhere else)
Asymptotes: The graph cannot cross this line (vertical, horizontal, oblique)
Answer:
A.
Step-by-step explanation:
If
AND
y = x + 7, then by the transitive property of equality:

We can solve for the values of x by getting everything on one side of the equals sign and then solving for x:

We can factor out the common x to get:
x(x + 1) = 0
which tells us by the Zero Product Property that either
x = 0 and/or x + 1 = 0 and x = -1
We are expecting 2 solutions for x since this is a second degree polynomial. We will sub both -1 and 0 into y = x + 7 to solve for the corresponding values of y
y = 0 + 7 so
y = 7 and the coordinate is (0, 7)
y = -1 + 7 so
y = 6 and the coordinate is (-1, 6)
Answer:
The diameter of the model is 14.4 inches.
Step-by-step explanation:
The Diameter of the moon = 2,160 miles
The scale on the model represents 1 in = 150 miles
Let the model represents k inches in 2,160 miles.
So, by the Ratio of Proportionality:

⇒
or, k = 14.4 inches
⇒On the scale 2160 miles is represented as 14.4 inches
Hence the diameter of the model is 14.4 inches.
Answer: A and B are the legs and C is the hypotenuse
Answer:
$24.11
Step-by-step explanation:
Let the cost of the present be c.
Then (3/4)c = $18.33.
To isolate (solve for) c, mult. both sides of this equation by (4/3):
(4/3)(3/4)c = (4/3)($18.33), or
c = $24.11