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2 years ago

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The equations 2x - 5y= -5 11x-5y = 15 9x+ 5y = 5 and 14x+ 5y = -5 are shown on the graph below.

1 answer:

Naya [18.7K]2 years ago

6 0

Answer:

the right system is:

2x - 5y= -5

14x+ 5y = -5

Explanation:

2x - 5y= -5 (1)

14x+ 5y = -5 (2)

(1)+(2)→ 16x=-10 then x= -10/16 = -0.625 ≈ -0.6

Now ,Using equation (1) x = -0.625 then y = 0.75 ≈ 0.8

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The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

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3 years ago

PLEASE SOLVE!!<br> IN A HURRY <br> WILL name the BRAINLIEST!!!

ICE Princess25 [194]

Answer:

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Step-by-step explanation:

96 divided by 2 = 48

48 - 14 = 34

48 + 14 = 62

34 + 62 = 96 (total cars washed)

You're welcome

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Ganezh [65]

1/4x-3=1/2x+8
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