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3 years ago

i need to know how to find the x and y intercepts and then graph the linear equation for the problem x+y=2

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Join those two points with a straight line and get the graph.

Step-by-step explanation:

The intercept form of a straight line equation is $\frac{x}{a} + \frac{y}{b} = 1$ , where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).

So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.

Given equation is x + y = 2

⇒ $\frac{x}{2} + \frac{y}{2} = 1$

Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)

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Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.

I am Lyosha [343]

Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.

then we can write the following piecewise function to describe the situation:

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3 years ago

What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?

Alinara [238K]

Answer:

Step-by-step explanation:

did you get the answer?

6 0

3 years ago

Read 2 more answers

HELPPP PLEASE i need a fast reply asking for a friend in need of desperate help :((((

weqwewe [10]

Answer:

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

Step-by-step explanation:

The perimeter of a triangle is the sum of all three sides

3x+2y + 11x+y = 91

Combine like terms

14x +3y = 91

The lines mean the sides are equal

3x+2y = 11x

Simplify

Subtract 3x from each side

3x-3x+2y = 11x-3x

2y = 8x

Divide by 2

2y/2 = 8x/2

y = 4x

Substitute 4x in the first equation every time you see y

14x +3y = 91

14x +3(4x) = 91

14x+12x=91

26x = 91

Divide by 26

26x/26 =91/26

x = 3.5

Now we can find y

y = 4x

y = 4(3.5)

y = 14

We know x and y we can find the length of each of the sides

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

8 0

3 years ago

Please show your work and explain it.

Maru [420]

Answer:

$f(x)=\dfrac{x+2}{2(x-2)}$

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

$\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}$

Next we factor what we can so we can further simplify the rest of the equation:

$=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\$

We can now cancel out (x+2)

$=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}$

Next we factor out even more:

$=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}$

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

$=\dfrac{(x+2)(1)}{(x-2)(2)}$

And we can now simplify it to:

$=\dfrac{x+2}{2(x-2)}$

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3 years ago

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aliina [53]

Answer:

Example = ( 12, 1 )

Step-by-step explanation:

There are many possible solutions to this equation, and all you would have to do to determine the ordered pair, is satisfy the following criteria -

$x - 6y = 6,\\- 6y = - x + 6,\\y = 1 / 6x - 1$

Take a look at a graph of the line y = 1 / 6x - 1. Any ordered pair that lies on this line is a solution to the equation. The " criteria " is that the ordered pair must lie on this line. Let me give you an example, ( 12, 1 ).

Hope that helps!

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3 years ago