Answer:
domain: (-∞ ,∞)
range: (2,∞ )
Step-by-step explanation:
The <em>quadratic</em> equation has the following results: (p, q) = (8, 15), minimum point: (h, k) = (1, 4), range of values: - 4 < x < - 3
<h3>How to analyze quadratic equations</h3>
In this question we have a <em>quadratic</em> equation of the form y = x² + p · x + q , whose <em>missing</em> coefficients can be found by solving on the following system of <em>linear</em> equations:
- 5 · p + q = - 25
- 3 · p + q = - 9
(p, q) = (8, 15)
The vertex represents the <em>minimum</em> point, which is found by changing the form of the equation from <em>standard</em> form into <em>vertex</em> form:
y = x² + 8 · x + 15
y + 1 = x² + 8 · x + 16
y + 1 = (x + 4)²
(h, k) = (1, 4)
And lastly we must solve for x in the following inequality:
x² + 8 · x + 15 < x + 3
x² + 7 · x + 12 < 0
(x + 3) · (x + 4) < 0
- 4 < x < - 3
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
33 pupils
Step-by-step explanation:
Two vertical little squares=1 pupil
Pupils:
Mark 1: 3
Mark 2: 5
Mark 4: 2
Mark 5: 6
Mark 8: 12
Mark 9: 1
Mark 10: 4
Overall: 33
Answer:
You would have to find the surface area
Step-by-step explanation:
If you had to find something to FILL the room then you would need volume, however, you are working with walls which can be viewed as 2 dimensional, whilst volume is 3 dimensional.
So what you would do is find the surface area of the walls and the ceiling, and then exclude the floor.
If you are given the total surface area, then you need to find the surface area of the floor and subtract it by the total surface area and that will give you how much paint is needed.