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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5 because if you draw the line segment out the middle will be 5
Answer:
So the parallelogram is in the first and second quadrants.
Step-by-step explanation:
From Exercise we have that the parallelogram have a vetrices:
A(negative 1,4) B(4,0) C(12,3) D(7,7). We use a site geogebra.org to plof a graph for the given parallelogram.
From the graphs we can see that the parallelogram is mostly in the first quadrant and smaller in the second quadrant. So the parallelogram is in the first and second quadrants.
Answer: Denominator ♥️
Step-by-step explanation:
Answer:
the water to be added is 0.2 L
Step-by-step explanation:
The computation of the water to be added is given below:
The banberry amount is
= 7% of 6 Liters
= 0. 42L
Now
Let us assume the amount of water added be x L
So, the total solution is
= 6+ x L
Now percentage of banberry is
= 0.42 × 100 ÷ (6+x)
5 = 0.42 × 100 ÷ (9 + x)
9 + x = 9.2
x = 0.2 L
hence, the water to be added is 0.2 L
