The x-intercept of a graph is the point where the graph crosses the x-axis
<h3>(a) Graph</h3>
The function is given as:

See attachment for the graph of the function.
From the attachment, the approximated x-intercepts are -7 and -1
<h3>(b) Type of solution</h3>
From the attached graph, we can see that the curve crosses the x-axis at non-terminating decimals
Hence, the solutions of the equation are irrational.
<h3>(c) The vertex</h3>
This is the minimum or the maximum point of a parabola.
From the attached graph, the minimum point is at (-4,-7)
Hence, the coordinates of the vertex of the parabola is (-4,-7), and it is exact (not approximated)
Read more about parabolas at:
brainly.com/question/4061870
For this case we have that the variable "k" represents the floor area of Melanie's kitchen.
We have that the floor area of the room is 1.5 times the floor area of the kitchen, then, we propose the following function to find the floor area of the room:

Answer:
Option A and D
Answer:
A, y = 3x/2 - 12
Step-by-step explanation:
Use the equation y = mx + b.
m = 3/2
b = -12
y = 3x/2 - 12
Given:
Big cone : diameter = 12 cm ; height = 18 cm ; base = 14 cm
Small cone: diameter = 12 cm ; height = 6 cm ; base = 14 cm
Volume of a cone-shaped container = π r² h/3
Big cone:
V = 3.14 * (6cm)² * 18cm/3
V = 3.14 * 36cm² * 6cm
<span>V = 678.24 cm³
</span>Small cone:
V = 3.14 * (6cm)² * 6cm/3
V = 3.14 * 36cm² * 2cm
<span>V = 226.08 cm³
</span>Big cone - small cone = volume of water
678.24 cm³ - 226.08 cm³ = 452.16 cm³