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Use algebra to solve 3x+4 = 1/x
The exact solutions are x=
Х

Answers

Answer 1
Answer:

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

x=(2±√(7) )/(3)

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

3x=(1)/(x) +(x(-4))/(x)

3x=(1+x(-4))/(x)

3x=(1-4x)/(x)

x(3x)=x((1-4x)/(x))

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

x=\frac{-b±\sqrt{b^(2)-4ac } }{2a}

a = 3

b = 4

c = - 1

x=\frac{-4±\sqrt{4^(2)-4((3)(-1)) } }{2(3)}

x=(-4±√(16-4((3)(-1)) ) )/(2(3))

x=(-4±√(16+12 ) )/(2(3))

x=(-4±√(28 ) )/(2(3))

x=(-4±√((2)(14) ) )/(2(3))

x=(-4±√((2)(2)(7) ) )/(2(3))

x=(-4±√(2 ) √(2)√(7) )/(2(3))

x=(-4±2√(7) )/(2(3))

x=(-4±2√(7) )/(6)

Two separate equations

x=(-4+2√(7) )/(6)

x=(2+√(7) )/(3)

x=(-4-2√(7) )/(6)

x=(2-√(7) )/(3)

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A line has a slope of $-7$ and contains the point $(3,0)$. The equation of this line can be written in the form $y = mx+b$. What is the value of $m+b$?

Find the value of x 120° (2x-10°

Answers

The answer would be 2x-1

Final answer:

The question appears to involve solving a trigonometry problem for 'x', but since the equation is not complete, a definitive answer can't be provided. A possible solution process has been suggested if the equation was 120° = 2x - 10°.

Explanation:

It appears that the student is asking for help with a trigonometry problem, perhaps regarding the solution of equations involving angles. Given the presence of 'x' and 'degrees', it suggests the need to solve for 'x' in an equation involving degrees.

Unfortunately, the equation seems incomplete: '120° (2x-10°'. The closing parenthesis is missing, which means we can't accurately determine the equation to solve. In general, if the equation was 120° = 2x - 10° for example, the solution process would involve the following steps:

  1. Add 10° on both sides to get 130° = 2x.
  2. Next, divide both sides by 2 to solve for 'x'. Hence, x = 65°.

But without a clear equation to work with, it's not possible to deliver a definitive answer to your question.

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. Write 3.476 x 1011 in standard notation.

Answers

Answer: 347,600,000,000

Step-by-step explanation: You have to move the decimal 11 places. After you move it behind the 6 to get the number 3,476, you have to move it 8 more times because 11-3 is 8. So you add 8 zeros

Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?

Answers

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ x = (90)/(7)=$12.85

Therefore,

6x = (90(6))/(7) =(540)/(7) = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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The lines x=0, y=2x-5, and y=mx+9 form a right triangle. find the two possible values of m

Answers

Answer: -1/2, 0

Step-by-step explanation:

x=0 , y=2x-5 and y=mx+9 form a right angle. So, y=mx+9 is either perpendicular to x=0 or y=2x-5 because the angle between x=0 and y=2x-5 is not 90 degrees. The product of slopes of perpendicular lines equals to -1.

Thus, m=-1/2 if it is perpendicular to y=2x-5. And y=c, for some constant if it is perpendicular to x=0. So y=0x+9 fits the bill. (m=0, in this case)

I do not get question 5.

Answers

Answer:

Take the number shown and divided by 5000

Step-by-step explanation:

Answer:

a) is correct

b) 0.3768

c) 0.5246

Step-by-step explanation:

b)

456 + 1428 = 1884

1884 ÷ 5000 = 0.3768

c)

739 + 456 + 1428 = 2623

2623 ÷ 5000 = 0.5246

What is the opposite of —3.2

Answers

The opposite of -3.2, applying the knowledge of the number line system would be: 3.2.

What is the Opposite of a Number?

On a number line, the opposite of a number is simply the value of that number that will cover the same distance to and from point zero.

For instance, the opposite of 4 is -4. Opposite of -5 is 5.

Thus, the opposite of -3.2 would be 3.2.

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the answer i believe is

3.2
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