Answer:
and 
Step-by-step explanation:
Given that
and
, the parametric equations are obtained by algebraic means:
1)
Given
2)
Given
3)
Associative and modulative properties
4)
Existence of multiplicative inverse/Commutative property
5)
Associative property
6)
/ 
7)
Modulative property
8)
Existence of additive inverse
9)
Associative and commutative properties
10)
Distributive property
11)

12)
By 1)
13)
/Result
14)
Compatibility with addition
15)
Compatibility with addition
16)
Associative property
17)
Associative property
18)
Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is
and
.
The quadratic function given by:
is in vertex form. The graph of
is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:
Hi there!
The answer is;
585 miles per 13 hours
Step-by-step explanation:
270 miles per 6 hours
/6 to determine miles per hour
45 miles per 1 hour
× 13 to determine miles per 13 hours
585 miles per 13 hours
Hope this helps!
The Table is the greater unit rate!