Answer:
-6
Step-by-step explanation:
The equation is:
The first point is:
Then the equation:
<u>-6 replaces ? mark</u>
Answer:
15, 23, 31, 39, 47
Step-by-step explanation:
y=8x+15
y=8(0)+15 = 15
y=8(1)+15 = 23
y=8(2)+15 = 31
y=8(3)+15 = 39
y=8(4)+15 = 47
Answer:
B: (x + 1) = (y - 2)²
Step-by-step explanation:
0 = y² - x - 4y + 3
We want to find the equation of the parabola in vertex form.
The format for the vertex form is;
y = a(x - h) + k
Where (h, k) is the coordinate of the vertex.
Thus, let's transform 0 = y² - x - 4y + 3 into the vertex form
Let's rearrange to get;
x - 3 = y² - 4y
Let's use method of completing the square to get right hand side;
x - 3 = (y - 2)² - 4
Add 4 to both sides to get;
x - 3 + 4 = (y - 2)²
(x + 1) = (y - 2)²
So you are given a recursive series, which is an equation that writes itself. Now we want to create a explicit rule. Explicit rule is a pattern that uses our first term and add our common difference. So it gives us our first term.

Lets find the second term of the recursive series.
a_2 = -3 +7 = 4
So it is increasing by 7
So our explicit rule is:
a_n = -3 + 7(n-1)
100 inches times 12 1 minute 1 foot