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2 years ago

The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

7 0

Answer:

$y = \frac{2}{z} - \frac{x}{z}$

Step-by-step explanation:

Given

$x + zy = 2$

Required

Rewrite to show y-intercept

We have: $x + zy = 2$

Subtract x from both sides

$zy = 2-x$

Divide both sides by z

$y = \frac{2}{z} - \frac{x}{z}$

The y intercet is: $\frac{2}{z}$

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What is the value of x in the following equation? -3x-2=2x+8

Arlecino [84]

Answer:

-2 =x

Step-by-step explanation:

-3x-2=2x+8

Add 3x to each side

-3x+3x-2=2x+3x+8

-2 = 5x+8

Subtract 8 from each side

-2-8 = 5x+8-8

-10 = 5x

Divide by 5

-10/5 = 5x/5

-2 =x

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2 years ago

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Nina [5.8K]

Answer:

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Step-by-step explanation:

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3 years ago

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

Step-by-step explanation:

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

The Quadratic Formula: For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

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2 years ago

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Suppose two fair six-sided dice are rolled. what is the probability that they will both come up with the same number?

marta [7]

You have a 16.7% chance of rolling doubles

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3 years ago

Tennis balls cost $7 for a can of 3. Steve gives the cashier $40 t to balls and receives $12 in change. How many tennis ball did

lord [1]

First, do 40 - 12 = 28 (Subtract the change), then do 28 / 7 to get 4, so then we do the cans times 3 to see how many individual balls he has, which would be 12

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2 years ago

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