Move 4x to the other side
2y=10+4x
Divide both sides by 2y
Y=5+4x
2. X-y=13
Move the first variable to the other side
-y=13+x
Answer:13.5
Step-by-step: 2 1/4 = 2.25
2.25*6=13.5
<h2><u>Rewrite</u><u> the</u><u> </u><u>decimal</u></h2>
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<h2><u>hope</u><u> it</u><u> helps</u></h2>
<u>see</u><u> the</u><u> attachment</u><u> for</u><u> explanation</u>
The <em>cubic</em> equation f(x) = x³ + 2 · x² + 4 · x + 8 has one <em>real</em> root and two <em>complex</em> roots.
<h3>What kind of roots does have a cubic equation? </h3>
In this problem we have a <em>cubic</em> equation and the nature of their roots must be inferred according to a <em>algebraic</em> method.
Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an <em>analytical</em> method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.
The discriminant is described below:
Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² (1)
Where:
- There are three <em>distinct real</em> roots for Δ > 0.
- Real roots with multiplicity greater than 1 for Δ = 0.
- A <em>real</em> root and two <em>complex</em> roots for Δ < 0.
If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:
Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²
Δ = - 1024
The <em>cubic</em> equation f(x) = x³ + 2 · x² + 4 · x + 8 has one <em>real</em> root and two <em>complex</em> roots.
To learn more on <em>cubic</em> equations: brainly.com/question/13730904
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Answer:
-11
Step-by-step explanation:
11 (2 - 3) - 5 × 2 × 0
= 11 (-1) - 0
= -11 - 0
= -11
