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2 years ago

75 POINTS Which equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply.

Mathematics

2 answers:

JulsSmile [24]2 years ago

5 1

Answer:

Step-by-step explanation:

olga nikolaevna [1]2 years ago

6 0

Answer:

Well, Your best answer will be is

B. 2x-3y=12

C. -4(2x-3y) = -4(12).

First you have to multiply by 3

Which it give you 3y =2x -12 of the factor 2 3y = 2(x-6)

Then after that you subtract 2x of each sides.

Because, -2x+3y = -12

Then you must multiply by -1

Because,2x -3y = 12

Than you basically multiply by -4

Which that give you -4(2x - 3y) = -4(12)

Good Luck!

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9. Abby walked 3 km west. Then she walked

masya89 [10]

Answer:

2km

Step-by-step explanation:

- Abby walked 3 km west: Abby is 3km west from her starting point.

- Then she walked twice as far going east: she walks 6km east so she's 3 km east from her starting point

- She continued east for another kilometre: She's is 4 km east from her starting point

- Stopping 2 km east of Lauren's home: She's currently 2 km east from Lauren's home and 4km east from her starting point. Therefore, Abby's starting point is 4km - 2km = 2km west from Lauren's home

8 0

2 years ago

The back of Monique’s property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen

gogolik [260]

Answer:

4050 sq. feet.

Step-by-step explanation:

Fencing is done on three sides of the rectangular area.

Given that there are 180 feet of fence available.

Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.

Now, the area of the plot is given by A = LW

Now, from equation (1), we ger A = L (180 - 2L) ..... (2)

Then differentiating with respect to L in the both sides we get,

$\frac{dA}{dL} = 180 - 4L =0$ {Since condition for Area to be maximum is $\frac{dA}{dL}=0$ }

⇒ L = 45 feet.

Now, from equation (2), we have $A_{max} =L(180-2L) = 45(180 - 90) =4050$ square feet.

3 0

2 years ago

5. What is the area of the figure to the nearest square centimeter? It is composed of a symmetric hexagonand a semicircle 4 cm6

Nookie1986 [14]

=100.2743338823 which is 100

6 0

2 years ago

Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum

anygoal [31]

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars 1st year 2nd-year 3rd-year 4th year

Preferred dividend

paid a $34,000 $38,000 $36,000 $36,000

Number of preferred

stock b 60,000 60,000 60,000 60,000

Dividend per share

(a ÷ b) $0.57 $0.63 $0.60 $0.60

Dividend paid to common

stockholders c $0 $38,000 $44,000 $64,000

Number of common stock

shares d 410,000 410,000 410,000 410,000

Dividend per share

on common stock $0 $0.093 $0.11 $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars 1 year 2 year 3 year 4 year

Total dividend paid $34,000 $76,000 $80,000 $100,000

Less:

Preferred stock

dividend $34,000 $38,000 $36,000 $36,000

Dividend paid to common

stockholders $0 $38,000 $44,000 $64,000

8 0

2 years ago

Addie walked 2 1 2 miles in 45 minutes. Suzie covered 2 2 5 miles in 2 3 of an hour. Which girl walked faster? By how much?

kobusy [5.1K]

Answer:

Suzie walks faster by 0.27 miles per hour.

Step-by-step explanation:

Addie walked $2\frac{1}{2}$ miles in 45 minutes and Suzie covered $2\frac{2}{5}$ miles in $\frac{2}{3}$ of an hour.

So, Addie walked 2.5 miles in 45 minutes i.e. $\frac{45}{60} = 0.75$ hours.

Therefore, the walking speed of Addie is $\frac{2.5}{0.75} = 3.33$ miles per hour.

Again, Suzie covered $2\frac{2}{5}$ i.e. 2.4 miles in $\frac{2}{3}$ i.e. 0.67 hours.

So, the walking speed of Suzie is $\frac{2.4}{0.67} = 3.6$ miles per hour.

Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)

7 0

2 years ago