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Illusion [34]
3 years ago
6

What does x equal in the equation 14-3(x+1)=22

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

-11/3

Step-by-step explanation:

14-3(x+1)

14-3x-3=22

11-3x=22

-3x=22-11

-3x=11

x=-11/3

x=-3 2/3

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The given quadratic equation is expressed as

2x^2 - 3x - 1 = 0

We would apply the general formula for quadratic equations which is expressed as

\begin{gathered} x\text{ = }\frac{-b\text{ +/-}\sqrt{b^2-4ac}}{2a} \\ \text{Looking at the equation,} \\ a\text{ = 2, b = - 3 and c = - 1} \\ \text{If we substitute these values into the formula, it becomes} \\ x\text{ = }\frac{--3\text{ +/-}\sqrt{-3^2-4(2\times-1}}{2\times-1} \\ x\text{ = }\frac{3\text{ +/-}\sqrt{9+8}}{-2} \\ x\text{ = }\frac{3\text{ +/-}\sqrt{17}}{-2} \\ x\text{ = }\frac{3\text{ + }\sqrt{17}}{-\text{ 2}}\text{ or }\frac{3\text{ - }\sqrt{17}}{-\text{ 2}} \\ x\text{ = }\frac{3\text{ + 4.12}}{-\text{ 2}}\text{ or }\frac{3\text{ - 4.12}}{-2} \\ x\text{ = - 3.56 or x = 0.56} \end{gathered}

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1 year ago
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Katena32 [7]

Answer:

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Step-by-step explanation:

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9 is the answer to this question
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Type the correct answer in each box. If necessary, use / for the fraction bar. Complete the statements about series A and B. Ser
aleksandrvk [35]

Answer:

Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3

Step-by-step explanation:

A geometric sequence is in the form a, ar, ar², ar³, .  .   .

Where a is the first term and r is the common ratio = \frac{a_{n+1}}{a_n}

For series A:  10+4+8/5+16/25+32/125+⋯   The common ratio r is given as:

r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}

For series B: 1/5+3/5+9/5+27/5+81/5+⋯   The common ratio r is given as:

r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3

For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:

S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} }  =\frac{50}{3}

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Step-by-step explanation:

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