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dolphi86 [110]
3 years ago
13

Given that the equation of a straight line is 2y - 3x + 6 = 0,

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

Step-by-step explanation:

Hi there!

Given;

The equation of straight line is 2y-3x+6 = 0.

a. Express in the form of y = mx + c.

2y-3x+6 = 0

2y = 3x-6

y = (3x-6)/2

y = (3/2)X - 3

Therefore, the required equation is : y = (3/2)x-3.

b.

The y-intercept of the equation is -3.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

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A shop owner made a loss of 12% when he sold an item for $264. What was the cost price of the item?.​
Firlakuza [10]
Answer:

The cost of the item was $31.68

Step-by-step explanation:

Things to understand for this type of question!

• Converting

• Percentage

————————————————————

We are trying to find out 12% or $264

Step 1. Use part/whole = part/whole

12% is part of $264 in total

12%/100% = ?/$264

Step 2. Multiply $264 by 12% and divided by 100

12%/100% = $31.68/$264
••••••••••••••••••••••••••••••••••••••••••••••••••
Therefore, the shop owner loss $31.68
4 0
3 years ago
Roshonda begins riding her bike home from school at 3:00p.M., traveling 12 miles per hour. James leaves school in a bus a quarte
weeeeeb [17]

Answer:

Step-by-step explanation:

At the point where Roshonda and James meet each other, they must have covered equal distances.

Let x represent the distance that Roshonda covered while riding from school to home and also the distance covered by James while travelling in a bus from school.

Let t represent the time it took Roshonda to cover x miles.

Distance = speed × time

Therefore

x = 12 × t = 12t

James left school 0.25 hours later at a speed of 35 miles per hour. Time spent by James in covering x miles would be t - 0.25.

Distance covered would be

x = 35(t - 0.25) = 35t - 8.75

Since the distance covered is the same, then,

12t = 35t - 8.75

35t - 12t = 8.75

23t = 8.75

t = 8.75/23 = 0.38 hours

0.38 + 0.25 = 0.63 hours

0.63 × 60 = 37.8 minutes

At about 3:38 pm, they would meet

6 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
Artist 52 [7]

Answer:

y=(x+1)^2-1

which agrees with the last option listed.

Step-by-step explanation:

We use the vertex form of a parabola:

y-y_v=a(x-x_v)^2

which with the information we have becomes:

y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1

Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.

y=(x+1)^2-1

3 0
3 years ago
Read 2 more answers
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miss Akunina [59]

Answer:

Step-by-step explanation:

4 x 6 1/4

4 x 25/4

= 25

5 0
3 years ago
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Brad is putting up a 10 foot diameter circular flower garden in his yard. He will put plastic edging along the flowerbed. How ma
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The answer is circled in red. Hope this helps!

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