S2=16, what is this?

Solve the rational equation 5/x = 4x+1/x^2

Irina18 [472]

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

7 0

3 years ago

3x with a 2 as an exponent +8x=35

Alex

Answer:

The roots are {-5, 7/3}.

Step-by-step explanation:

I am assuming you want to solve this for x.

3x^2 + 8x = 35

3x^2 + 8x - 35 = 0 Try factoring by the 'ac' method.

ac = 3 * -35 = - 105.

We need 2 numbers whose product is -105 and whose sum = + 8.

These are +15 and - 7, so we write:

3x^2 + 15x - 7x - 35 = 0 Now factor by grouping:

3x(x + 5) -7(x + 5) = 0 (x + 5) is common so:

(3x - 7)(x + 5) = 0

The roots are {-5, 7/3}.

8 0

3 years ago

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MICHAEL and Kevin are running. Kevin gets a 3 mile head start and runs at a rate of 5.5 miles per hour. Michael runs at a rate

dlinn [17]

5.5x + 3 = y
7x =y

5.5x + 3 = 7x (-5.5x both sides)

3 = 1.5x (÷1.5 both sides)

X = 2

Michael takes two hours

4 0

3 years ago

I don't understand e. Please help

dexar [7]

Case 1: Probabilities cannot add up to a number greater (or less) than 1. This would mean there is greater than a 100% chance of something happening which just doesn't make sense. 0.4 + 0.4 + 0.3 = 1,1

Case 2: You cannot have a negative probability. That is claiming that there is a -10% chance of an event happening, there is at the very least a 0%. Despite them "adding" up to 1, the negative probability makes no sense.

Hope I helped!

6 0

3 years ago

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers