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
#SPJ1
Answer:
(8,6)
Step-by-step explanation:
Solve by elimination!
-2x-y=-22
2x-6y=-20
cross out, and merge!
-7y=-42
y = 6
Plugin y in one equation (I choose the easy one XD)
-2x-6=-22
-2x=-16
x = 8
C. is the right answer I think so at least
Answer:
20
Step-by-step explanation:
20*3/3 = 20
If she has 20 dollars and her mom gives her 5 more that would be 25 dollars.
<span>if each gift cost 5 dollars then you would divide 25 by 5 which would come out to 5 gifts. </span>