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2 years ago

How do i find the slope of 3x-2y= 3

Mathematics

1 answer:

Reika [66]2 years ago

6 0

Answer:

slope=3/2

Step-by-step explanation:

3x-2y=3

2y=3x-3

$y=\frac{3}{2} x-\frac{3}{2} \\compare ~with~y=mx+c\\slope~m=\frac{3}{2}$

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Juana compró una camioneta 4x4 a S/ 42 000; además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal duran

prohojiy [21]

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

4 0

2 years ago

The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan

Schach [20]

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

$Z=\dfrac{x-\mu }{\sigma }$

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

$Z=\dfrac{11.4-24.4 }{6.5 } = -2$

The z-score for 37.4 is given as follows;

$Z=\dfrac{37.4-24.4 }{6.5 } = 2$

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

$Z=\dfrac{x-\mu }{\sigma }$

$Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466$

7 0

2 years ago

A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

WINSTONCH [101]

Let x = the length of the rectangle
Let w= the width

Two sections are required, hence 2w of fence required
2x+3w=500

this can be written as:
3w=1500-2x
w=(1500-2x)/3

Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3

This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750

3 0

2 years ago

What is the MAD of the data set? <br><br> {13, 6, 3, 7, 11}<br><br> Enter your answer in the box.

frosja888 [35]

13 + 6 + 3 + 7 + 11 = 40
;
40 ÷ 5 = 8
;
13 - 8 = 5
6 - 8 = |-2| = 2
3 - 8 = |-5| = 5
7 - 8 = |-1| = 1
11 - 8 = 3
;
5, 2, 5, 1, 3
5 + 2 + 5 + 1 + 3 = 16
16 ÷ 5 = 3.2
;
Mean Absolute Deviation is 3.2.

Hope this helped☺☺

3 0

2 years ago

Which function does the graph represent

Doss [256]

Answer:

Step-by-step explanation:

Obviously this a log function. What you have to know about the parent graph of a log function is that it goes through the origin (0, 0). Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units. The parent graph for the log function in standard form is

f(x) = log(x - h) + k.

where h indicates the side to side movement, and k represents the up and down movement. In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1). Because our function has moved up 3 units, our k is a positive 3. So the translation of the parent graph to what we see is

g(x) = log(x + 1) + 3, choice C

8 0

2 years ago

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