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denis-greek [22]
3 years ago
12

Which of the lines graphed in the diagram represents the equation 6x + 4y = 8

Mathematics
2 answers:
Blizzard [7]3 years ago
6 0
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
mrs_skeptik [129]3 years ago
4 0
To find which line is which, let's turn that equation into slope intercept form:

6x + 4y = 8

Subtract 6x from each side:

4y= -6x + 8

Then divide both sides by 4:

y= -6/4x + 2

With slope intercept form, y=mx+b, we know that b is the y-intercept. 

If 2 is our y-int, the we know the it is not the vertical line because it doesn't touch (0,2)

Now, we also now that our line is negative because our x is negative, so that means the line goes from to down and to the right.

So that means it's the line (-3,5)

Hope this helps!
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4f2 + 3h - g+f
Bas_tet [7]

Answer:

can't be simplified or you can add you get the answer

4 0
2 years ago
Muhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29
Vsevolod [243]

Answer:

 Twine needed to wrap 29 cartons = 51.55 yards

Explanation:

 1 feet = 0.3333 yard

 1 inch = 0.0277778 yard

Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches

                                                           = 1 + 2 x 0.3333 + 4 x 0.027778

                                                           = 1.777712 yards.

 Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.

 Twine needed to wrap 29 cartons = 51.55 yards

4 0
3 years ago
Find the distance between each pair of points. round your answer to the nearest tenth, if necessary. (-8, -5), (-4, 3)
Anuta_ua [19.1K]
The answer would be 8.9
8 0
3 years ago
6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
STALIN [3.7K]

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

7 0
3 years ago
.chris p. bacon worked 44 hours last week and gets double time pay for overtime. his regular pay is $14 per hour. how much was h
masha68 [24]

The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.

As given,

Regular pay per hour = $14

Overtime work payment= 2 × ($14)

Total hours work done last week = 44hours

Let regular timing be 8 hours per day 5 days a week

Total regular working hours = 8 × 5

                                           = 40 hours

Over time = 44-40

                = 4 hours

Payment check = (40 × 14)+ (4 × 28)

                         = $672

Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.

Learn more about work here

brainly.com/question/18094932

#SPJ4

8 0
2 years ago
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