Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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7 do multiplication and division before addition and subtraction
Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±
*Sa
]
[(2.90-2.29)±2.715*0.20
]
[0.436; 0.784]
I hope this helps!
<h2>Answer:
Google it
Step-by-step explanation:
Go to google Type the question Press search
Find your answer
NOT being rude. Promise.</h2>
The first step in rewriting the function in a vertex form is (a) -4 must be factored from -4x² + 2x
<h3>How to determine the first step?</h3>
The equation is given as:
y = -4x² + 2x - 7
Factor out -4 from the first two terms of the equation
y = -4(x² + 0.5x) - 7
The above means that the first step in rewriting the function in a vertex form is (a) -4 must be factored from -4x² + 2x
Read more about vertex forms at:
brainly.com/question/18797214
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