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docker41 [41]
2 years ago
11

Help? y - intercepts What is the y-intercept of the equation 2x + 3y = 12?

Mathematics
1 answer:
Nookie1986 [14]2 years ago
5 0

Answer:

2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.

2x + 3y = 12

subtract 2x from both sides.

3y = -2x + 12

Divide both sides by 3.

y= - 2/3 x + 12/3 =

y= - 2/3x + 4

The slope is - 2/3

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Emilio bought 5.65 of green grapes and 3.07 pounds of red grapes
NISA [10]

The weight of each bag is 0.545 lb .

<h3>What is weight ?</h3>

Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.

It is given that

Total weight of green grapes = 5.65 lb

Total weight of red grapes = 3.07lb

Total weight = 5.65 +3.07 = 8.72   lb

Total number of bags = 16

the weight of each bag

= 8.72 / 16

= 0.545 lb

Therefore the weight of each bag is 0.545 lb .

The complete question is

Emilio bought 5.65lb  of green grapes and  3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?

To know more about Weight

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5 0
2 years ago
Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £28 more than Gordon. How much did they get altogether?
Zinaida [17]

Answer:

84

Step-by-step explanation:

8 0
3 years ago
Which show the factored form of x^2-12x-45
slavikrds [6]

Answer:

x^{2} -12x-45\\=(x-15)(x+3)

Step-by-step explanation:

6 0
3 years ago
On a coordinate plane, a line goes through (0, negative 3) and (3, negative 2). A point is at (negative 4, 2).
bulgar [2K]

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

-3 = a*0 + b

b = -3

x = 3 -> y = -2

-2 = 3a - 3

3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

5 0
2 years ago
Subtract. Write your answer in simplest form.
hichkok12 [17]

Answer:

No. it would be 4 3/14

Step-by-step explanation:

5-1=4

common denominator is 14 to get there,

1x7=7

2x7=14

2x2=4

7x2=14

7/14 - 4/14 = 3/14

put it all back together and you get 4 3/14

7 0
3 years ago
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