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3 years ago

What is the slope of the line ?

Mathematics

2 answers:

masha68 [24]3 years ago

5 0

Answer:

The slope is -8/-5

Step-by-step explanation:

According to the graph that you posted the 2 black points were the points that I choosed so I used the formula rise/run. The I rised up 8 and I runed over 5.

vampirchik [111]3 years ago

5 0

The slope of the line given is 8/-5.

To solve for the slope, you can use the equation X2 - X1 over Y2 - Y1.

The coordinates fir this equation are (-1,4) and (4,-4). The second coordinate pair (4,-4) is filled into X2 and Y2, and the first coordinate pair (-1,4) is filled into X1 and Y1.

The equation will say (4 - (-1))/(-4 - 4). Since you are subtracting a negative in the numerator, you change the operation to addition. Now you take (4 + 1)/(-4 - 4), and simplify. 4 + 1 = 5 and -4 - 4 = -8.

Thus meaning the slope is 5/-8. I hope this helps!

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Answer:

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3 years ago

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kalil’s monthly salary is 3,250 plus he earns 1.4% commission on his sales for the month. Kalil’s sales for July were $51000. Wh

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You add the Kalil's monthly salary (3,250) to his sales (51,000), then multiply 1.4% ( as a percent: 0.014)
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3 years ago

You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,

$m=\frac{21-33}{9-5}$

$m=\frac{-12}{4}=-3$

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

$33=-3\cdot 5+b$

$33=-15+b$

$33+15=b$

$48=b$

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

$y=-3x+48$

Therefore, our desired equation will be $y=-3x+48$ .

6 0

3 years ago

Step by step plz <br> 2x^2 + x - 3

Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0

3 years ago

Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknig

pentagon [3]

Answer:

Probability [No customers in system] = 0.375
Customers waiting for service = 25/24
Average time customer wait = 1.25/1.5
May be wait
Per customer average time = 1.33 (Approx)

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

7 0

3 years ago