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3 years ago

Find the slope and y intercept (Please show work)

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - $\frac{5}{3}$ + $\frac{1}{3}$ y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

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!!!! could anyone help on these two problems? find the value of each trigonometric ratio

Setler [38]

Answers:

sin(C) = 24/25
cos(Z) = 5/13

=============================================

Explanation:

The formulas we use are

sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse

The fraction 15/39 reduces to 5/13 after dividing both parts by the GCF 3.

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.

ivolga24 [154]

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 x = -2

so it will be : 5,6,and 7 or -2,-1, and 0

6 0

3 years ago

What is the factored form of x^2-x-2

tekilochka [14]

For this case we have:

By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.

That is to say:

Given an expression of the form $x ^ 2 + (a + b) x + ab$

We can factor in the following way:

$(x + a) (x + b)$

Since, its product is: $x ^ 2 + bx + ax + ab = x ^ 2 + (a + b) x + ab$ ,

checking the given definition.

If we have:

$x ^ 2-x-2$

We can factor:

$(x-2) (x + 1)$

When making your product we obtain: $x ^ 2 + x-2x-2 = x ^ 2-x-2$

Answer:

$(x-2) (x + 1)$

6 0

3 years ago

In the game of roulette, a player can place a $9 bet on the number 11, and have a 1/38 probability of winning. If the metal ba

damaskus [11]

Answer:

1. What is the expected value of the game to the player?

Expected value= -$0.47368

2. If you played the game 1000 times, how much would you expect to lose?

Expected value= -$473.68

Step-by-step explanation:

1. What is the expected value of the game to the player?

Expected value can tell how much you will gain/lose every time you do the game. To find the expected value you need to multiply every value with its chance to occur. There are two types of events here, winning and losing. You have 1/38 chance of winning $315 and 37/38 chance of losing $9.

The expected value will be:

expected value= 1/38 * $315 + 37/38*(-$9) = $8.2894 - $8.7631

expected value= -$0.47368

You are expected to lose $0.47368 every time you play

2. If you played the game 1000 times, how much would you expect to lose?

Expected value calculated for each roll. If you want to know how much you gain/lose by multiple rolls, you just need to multiply the expected value with the number of rolls. The game has negative expected value so you are expected to lose money instead of gaining money. The money you expected to lose will be:

number of roll * expected value

1000 timer * -$0.47368/time= -$473.68

You are expected to lose $473.68 if you play the game 1000 times.

6 0

3 years ago