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3 years ago

Use intercepts to graph x-6y=24

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Step-by-step explanation:

x-6y=24

Isolate the Y variable

-6y=-x+24

y=(1/6)x -4

In this case, -4 is the y intercept. Plot a point on the Y-axis (0, -4)

1/6 is the slope. You go up one unit, and then you go right 6 units to plot your next point.

Here is a great website to solve problems like these

Desmos Graphing Calculator

Just google it!

I hope this helps.

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For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price i

Liono4ka [1.6K]

Answer:

7 and 6 respectively

Step-by-step explanation:

Firstly, we have to solve the equations simultaneously.

2x + 7p = 56

3x - 11p = -45

Multiply equation I by 3 and ii by 2

6x +21p = 168

6x - 22p = -90

Subtract the second from first to yield:

43p = 258

p = 6

Insert this in equation 1 where we have 2x + 7p = 56

2x + 7(6) =56

2x + 42 = 56

2x = 14 and x = 7

The equilibrium price is 6 and the equilibrium quantity is 7

8 0

2 years ago

Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

2 years ago

Need help with this question asap

Lana71 [14]

Answer:

B=/x+3

Step-by-step explanation:

I'm smart?

8 0

2 years ago

Solve the system by substitution. y=6x y=3x+21 ( , )

Dimas [21]

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

6 0

2 years ago

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astra-53 [7]

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Learn more about surveys here brainly.com/question/14610641

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7 0

1 year ago