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jek_recluse [69]
3 years ago
9

He uses the slope of 2

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

y = 2x + 3

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 )

here m = 2

The line passes through the y- axis at (0, 3) ⇒ c = 3

y = 2x + 3 ← equation of line

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I need some help…
barxatty [35]
Use the formula for compounded interest and plug in variable to solve for the amount. The picture should help

4 0
3 years ago
Explain how to model the division of –24 by –4 on a number line.
lianna [129]

Answer:

Here's one way to do it.

Step-by-step explanation:

-24 ÷ (-4)

-24 is the final number on the number line

-4 means you count by 4s on the number line moving backwards.

  1. Start at 0 facing forward.
  2. Move backwards in steps of four units from 0 to -24.
  3. Count the number of steps you took (six).

Answer: +6 (The sign is + because you are still facing forward).

8 0
3 years ago
The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.a. Comp
Kobotan [32]

Answer:

1). Z score = 1.464733

Mean = 38.87917

Standard deviation = 3.609405

2). Quartiles:

Q1 = 37.025

Q2 = 38.450

Q3 = 40.800

3). IQR = 3.775

4).

CI (lower fence) = 37.4351

CI (upper fence) =  40.32323

5). There is outlier in the data set. Please see attached box plot for evidence.

Step-by-step explanation:

1). By Z score, we mean:

Z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}},

where:

x-bar ==> mean(g) = 38.87917

\mu = 37.80

standard deviation = 3.609405

sample size (n) = 24.

2). By quantile, we mean:

Q = L + (i*(n/4) - Cf)*c

Where L is the lower class limit of the quartile class

Cf is the cumulative frequency before the quartile class

c  is the class size.

3) . IQR = Q3 - Q1

4). CI = \mu \pm *Z_{\alpha/2} \frac{\sigma}{\sqrt{n}},

Where Z_{\alpha/2}  ==> 1.96

In order to replicate and obtain the result, please use the R code below:

g = c(31.5, 36.0, 37.8, 38.5, 40.1, 42.2,34.2, 36.2, 38.1, 38.7, 40.6, 42.5,34.7, 37.3, 38.2, 39.5,  

41.4, 43.4,35.6, 37.6, 38.4, 39.6, 41.7, 49.3)

boxplot(g)

Z = (mean(g) - 37.8)/(sd(g)/sqrt(length(g)))

mean(g)

quantile(g)

IQR(g)

CIl = mean(g) - 1.96*(sd(g)/sqrt(length(g)))

CIU = mean(g) + 1.96*(sd(g)/sqrt(length(g)))

4 0
3 years ago
Write the standard equation of a circle that passes through(-4,0) with center (-1,-4)
AysviL [449]

The standard equation of the circle is x² + y² + 8x - 9 = 0 if the circle with center at (-1,-4) that passes through the point (-4,0).

According to the question,

The circle with center at (-1,-4) that passes through the point (-4,0).

To find the radius of the circle:

Radius r = √[(-4 - (-1))² + (0- (-4))²]

=√(-4+1)² + (4)²

=√9+16

=√25

=5.

In order to find the standard equation of the circle is

(x - (-4))² + (y - (0))² = (5)²

(x + 4)² + (y )² = 25

x² + 8x + 16 + y² = 25

x² + y² + 8x + 16 = 25

x² + y² + 8x = 25 - 16

x² + y² + 8x = 9

x² + y² + 8x - 9 = 0

Hence, the standard equation of the circle is x² + y² + 8x - 9 = 0.

Learn more about circle here

brainly.com/question/12238856

#SPJ4

3 0
2 years ago
EZ car rental charges $40 dollars a day plus $0.25 per mile. Ace Rent-A-Car charges $25 dollars a day plus $0.45 per mile. What
Nikolay [14]
Find an expression for each Rental car company's charge in one day where x = the number of miles driven.
EZ car rental: 0.25x + 40
Ace Rent-a-car: 0.4x + 25

You want to find when the two expressions are equal, so set the two expressions equal:
0.25x + 40 = 0.40x + 25
Solve for x!

0.25x + 15 = 0.40x
15 = 0.15x
x = 15/0.15
x = 100

You can check by plugging the number back in:
0.25 (100) + 40 = 65
0.4 (100) + 25 = 65
4 0
4 years ago
Read 2 more answers
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