Answer:
y = 3.5x - 12.5
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1 / x2 - x1) with the 2 points:
(-2 - 5) / (3 - 5)
-7/-2
= 3.5
Then, plug the slope and a point into y = mx + b to solve for b:
y = mx + b
5 = 3.5(5) + b
5 = 17.5 + b
-12.5 = b
Plug the slope and the y intercept into the equation y = mx + b
y = 3.5x - 12.5 will be the equation
Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:



<u>Part 4</u>
Equation for the given parabola in vertex form:

Equation in standard form:

You would need 9 boxes of tiles to cover it.
I hope this helps! :)
Answer:
40/76 or 10/19 or 52.63% (they are all equivalent)
Step-by-step explanation:
there are 76 parking spaces in total
30 parking spaces have numbers that are less than 31 (1 - 30)
that means that there are 76 - 30 = 46 spaces that are numbered 31 or higher
so the probability that Jillian parks on a parking space with a number ≥ 31 is 40/76 or 10/19 or 52.63%
Your answer would be:
The fourth option ---> 12