How do I solve this?

Answers

Answer 1

Answer: 1) Multiply out the 2 to the 10, so it will become 3x-5=20 2) Then solve:3x=25 3)x=25/3

Answer 2

Answer: 3x-5/2=10

The first step, multiply both sides by 2.
3x - 5 = 20

Add 5 to both sides.

3x = 25

Then divide both sides by 3.
x = 25/3 or 8.33333333...

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write in slope intercept form an equation of the line that passes through the points (-4,2) and (6,-3)

Answers

Answer:

$y=-(1)/(2) x$

Step-by-step explanation:

First, we would find the slope from(-4,2) to (6,-3). To find that it we would do $(y_(1)-y_(2) )/(x_(1)-x_(2) )$ . It could also be the other way around depending on if you want to avoid negatives. $(-3-2)/(6-(-4))$ is $(-5)/(10)$ or $-(1)/(2)$ . So, the equation so far is $y=-(1)/(2) x+b$ . Then, we insert one of the y and x values in points (-4,2) or (6,-3) depending on what you're feeling. I chose (-4,2).

So, the equation now is $2=-(1)/(2)(-4)+b$ . Solving this, we get b=0. So the answer is $y=-(1)/(2)x$

Which of the numbers below are some potential roots of p(x) 36x2 -7x-60 according to the rational root theorem?

Answers

Answer:

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Step-by-step explanation:

The given polynomial is

$p(x)=36x^2-7x-60$

We need to find the potential roots of given polynomial according to the rational root theorem.

According to the rational root theorem, the potential roots are

$x=\pm (p)/(q)$

where, p is a factor of constant term and q is the factor of leading term.

In the given polynomial constant term is -60 and leading term 36.

Factors of 60 are ±1,±2,±3,±4,±5,±6,±10,±12,±15,±20,±30,±60.

Factors of 36 are ±1,±2,±3,±4,±6,±9,±12,±18,±36.

Now, the potential roots are

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Answer:

This expression can not be factored with rational numbers.

The polynomial is not factor able with rational numbers.

Step-by-step explanation:

Simplify 3x - 4 - 5x = 6 + 4x + 2

Answers

Answer:

x=(−2)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4x from both sides.

Step 3: Add 4 to both sides.

Step 4: Divide both sides by -6.

In geometry words describe a way to seperate triangles Into other triangles

Answers

start at one of the vertices and draw a line from there to a point on the oposite side, not ending at another vertex

There are many ways of dividing a triangle, two ways are mentioned below.

Method 1: Dividing a triangle into triangle of three equal areas

After trisecting one side of the triangle connect the two points that trisect the side to the opposite vertex which will make all three triangles have the same length of base and height.

Method 2: Dividing a triangle into two

This method is pretty simple if you are just going straight down the middle to make the two triangles of even base and height.

I hope this helps. If any false information was given I apologize in advance.

Ed fills his sports bottle with 1.2 liters of water after his bike ride he drinks 200 milliliters of the water.How much water is left in Ed's sportd bottle?

Answers

1 liter = 1,000 milliliters

He started out with 1.2 liters = 1,200 milliliters.

He drank 200 milliliters.

Left in his bottle, he still had

(1,200 milliliters) minus (200 milliliters) = 1,000 milliliters

= 1 liter left .

a report stated that 281,305,769 people visited us national parks in 2010. the author of a travel guide rounded the number of visitor to 281,300,000. to which place value did the author round the number of people who visited us. national parks in 2010?

Answers

The author rounded to the hundred thousands place.

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