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3 years ago

Write the slope-intercept form of the equation of the line through the given points:

Mathematics

1 answer:

vredina [299]3 years ago

3 0

Answer:

equation of line

x-2y=8

Step-by-step explanation:

equation of line in slope intercept form

(y-y1)={(y2-y1)/(x2-x1)}(x-x1)

or,(y+3)={(-5+3)/(-2-2)}(x-2)

or,(y+3)=(1/2)(x-2)

or,2y+6=x-2

or,6+2 =x-2y

or,x-2y=8

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n the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in

IRINA_888 [86]

Answer:

There are no real solutions.

Step-by-step explanation:

There are 3 options.

2 real solutions: This happens if in the graph, each arm intersects the x-axis, this means that there are two different values of x such that the equation:

a*x^2 + b*x + c

is equal to zero.

Another way to see this, is if the determinant:

b^2 - 4*a*c

is larger than zero.

1 real solution: This happens when the vertex of the graph intersects the x-axis. This means that there is a single value of x such that:

a*x^2 + b*x + c

is equal to zero.

Another way to see this is if the determinant:

b^2 - 4*a*c

is larger equal zero.

No real solution: if in the graph we can not see any intersection of the x-axis, then we do not have real solutions (only complex ones).

Another way to see this is if the determinant:

b^2 - 4*a*c

is smaller than zero.

Now that we know this, let's look at the graph.

We can see that the vertex is below the x-axis, and the arms of the graph go downwards. So the arms will never intersect the x-axis (and neither the vertex).

So the graph does not intersect the x-axis at any point, which means that there are no real solutions for the quadratic equation.

The correct answer would be "none"

3 0

3 years ago

What is the domain of the function f(x)= x + 1 / x^2 - 6x + 8?

VARVARA [1.3K]

Answer:
all real numbers except 4 and 2

Explanation:
The given function is:
f(x) = $\frac{x+1}{x^2-6x+8}$

Domain of the function is defined as the values of x that can be used to substitute in the function.

We know that any fraction cannot have a zero in its denominator. Because if this happens, then the fraction would be undefined.

This means that in the given function, we cannot substitute with any value for x that makes the denominator a zero.

Now, we will get the zeroes of the denominator as follows:
x² - 6x + 8 = 0
(x-4)(x-2) = 0
either x-4 = 0 ...........> x = 4
or x-2 = 0 .............> x = 2

Based on the above, we can substitute with any value for x excluding 4 and 2.

This means that the domain of the function is any real real number except 4 and 2

Hope this helps :)

7 0

3 years ago

Renata and david want to cover the walls in one room of their house with wall paper.

valkas [14]

For this case we have the following variables:
P = area covered by a roll of wallpaper
w = the total area of the walls
n = number of rolls to buy
We write the equation for n.
You must take into account that you can determine this amount by dividing the total area between the area covered by each roll of paper.
We have then:
$n = w / P
$
Answer:
a formula that will help them determine how much wall paper they'll need to purchase is:
$n = w / P$

3 0

3 years ago

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Dafna1 [17]

Answer:

I say A or B but in favor A

Step-by-step explanation:

5 0

3 years ago

Nadine and her sister received the

postnew [5]

Answer:

2(x - 12) = 16

Step-by-step explanation:

They each had $20 to spend.

5 0

3 years ago