Answer:
Since there is a 50-50 chance of a person at the party choosing a gift card, and since there can only be 1 of 2 outcomes, we can assume that there will either be more people choosing a gift card than not, or there will be more people not choosing a gift card than are. So, that means that there would be 23 people (more or less) choosing a gift card and 22 people (more or less) not choosing a gift card or vice-versa.
Answer:
(-5,5)
Step-by-step explanation:
Look across the y-axis and you find the corresponding pair.
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:
Step-by-step explanation:
To find distance, we are given to use this formula:
'
We know our speed which is 50 mph
The time is 5 hours
All you have to do is multiply:
250 miles is our distance
Answer:
The measurement of the ∠7 is 132°
Step-by-step explanation:
we are given that angle 3 and angle 7 are consecutive interior angles. The sum of consecutive interior angles is always 180°.
Hence
∠3+∠7=180°
48°+∠7=180°
Subtracting 48° from each side
∠7=132°
