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3 years ago

Graph - 9x + 6y = 18 using linear standard form

Mathematics

1 answer:

postnew [5]3 years ago

3 0

Answer:

The graph is attached Below and the plotting is given below.

Step-by-step explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴ $y=\frac{-18}{3}\\ \\y=-3$

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴ $y=\frac{0}{3}\\ \\y=0$

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴ $y=\frac{18}{3}\\ \\y=3$

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.

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Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

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Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

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3 years ago

What number is halfway between -15 and 20

ollegr [7]

Answer : 2.5

Solution:

To find the halfway number it means that you need to find the middle most value using the formula

Mid value = (X + Y) / 2

So in this case it would be,

Mid value = (-15 + 20 ) / 2

Mid Value = ( 5 ) / 2

Mid Value = 2.5 answer

Hope this helps in understanding the question! :)

Note : do not forget the negative sign as it will change the answer and may cost you marks!

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3 years ago

The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and lat

elena55 [62]

Answer:

Step-by-step explanation:

So you start with $2.65 and a variable y. What we will do is work without the dollar and keep it for the end as it quite disturbs and work our way while keeping the y. So first we have 2.65. Now it rose by y so. The price = 2.65 + y. Then it dropped by 0.15. So 2.65 + y - 0.15. Here you see we have like terms so we reduce and get 2.50 + y. Now it rose by 0.05. So 2.50 + y + 0.05. Again, like terms, reduce. 2.55 + y. There you go with the answer.

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3 years ago

Question 8: Find the equation of the straight line that:

Scorpion4ik [409]

Answer:

$y=4x+6$

Step-by-step explanation:

Hi there!

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