Answer:
The PTA will order 6 cheese pizzas.
Step-by-step explanation:
There is a 3:4 ratio for cheese pizzas to pepperoni pizzas.
If the number of pepperoni pizzas doubles, then the number of cheese pizzas must double as well.
So, 3:4 becomes 6:8.
The PTA will order 6 cheese pizzas.
i) The given function is

We can rewrite in factored form to obtain;


The domain is



ii) To find the vertical asymptotes equate the denominator to zero.



iii) To find the roots, equate the numerator to zero.



iv) To find the y-intercept, substitute
into the equation.

We simplify to obtain;


v) The horizontal asymptote is

The equation of the horizontal asymptote is y=1
vi) The function does not have a variable factor that is common to both the numerator and the denominator.
The function has no holes in it.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
180 degrees
Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
Answer: y=-7/4x+2
Step-by-step explanation:
Answer:
B' = (-4, -4)
Step-by-step explanation:
<u>Dilation</u>: A type of transformation that makes the pre-image larger or smaller without changing its shape.
<u>Center of a dilation</u>: a fixed point about which all points are dilated.
Given:
- A = (1, 2)
- B = (-1, -1)
- C = (0, -2)
- Scale factor = 4
For dilation when the <u>center of dilation</u> is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)