Answer:
x<3 AND x>2
Step-by-step explanation:
First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.
Next, 9x+5>23. Subtracting 5 from both sides, 9x>18, and dividing by 9, x>2.
Therefore, x<3 AND x>2.
Answer:
4x + 6
Step-by-step explanation:
To determine what the numerator would be, after simplifying both fractions, take the following steps:
Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.
Thus,
x² + 2x + x + 2
(x² + 2x) + (x + 2)
x(x + 2) +1(x + 2)
(x + 1)(x + 2)
We would now have the following as our new fractions to add together and simplify:
Step 2: find the highest common factor of the denominator of both fractions.
Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)
Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.
Thus,
Therefore, the numerator of the simplified form sum of both fractions = 4x + 6
Answer:Magnitude of voltage is 41.9963 volts
Step-by-step explanation:
Given that current I =5.772-5.323i mA
and impedance, Z=3.342+4.176i kilo ohms
Then voltage in the circuit = IZ
Magnitude of V =
Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
<h3>¿Qué es la distribución binomial?</h3>
Los parámetros son:
- n es el número de ensayos.
- p es la probabilidad de éxito en un ensayo
En este problema, hay que:
- 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
- Llegan 10 empleados, o sea, n = 10.
La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:
En que:
Por eso:
Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113
Answer:
-8.8c + 2.2 OR SOLVED c = 0.25
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
- 5.8c + 4.2 - 3.1 + 1.4c − 5.8c + 4.2 − 3.1 + 1.4c
<em>-8.8c + 2.2</em>
<em />
<u>Step 2: If needed solve for c</u>
-8.8c + 2.2 - 2.2 = 0 - 2.2
-8.8c / -8.8 = -2.2 / -8.8
<em>c = 0.25</em>
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Answer: -8.8c + 2.2 OR SOLVED c = 0.25