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3 years ago

Write the equation of the line fully simplified slope-intercept from.

Mathematics

2 answers:

IgorLugansk [536]3 years ago

6 0

Answer:

y=-2/5x-6

Step-by-step explanation:

First you need to find slope and it is easy. Find 2 points that is on exact location like (-5,-4) and (0,-6) slope is rise over run so your slope will be -2 over 4 because your slope is decreasing. Next you need to find y-intercept. It is also easy. The y intercept is -5 because when x=0 y is -5 so your final answer will be y=-2/5-5

Doss [256]3 years ago

4 0

Answer:

y -6x+2/5

Step-by-step explanation:

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3 years ago

240 is 60% of what number?

Brums [2.3K]

Hi there! To find the answer to that question, we can write and solve a proportion. Set it up like this: 240/x = 60/100. This is because we're looking for the whole and we already know the part, which is 240. Cross multiply the values in order to get 24,000 = 60x. Now, divide each side by 60 to isolate the variable. When you do, you get x = 400. You can check this by dividing and then multiplying that quotient by 100. 240/400 is 0.6 and 0.6 * 100 is 60. That makes 60%. There. 240 is 60% of 400.

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4 years ago

Read 2 more answers

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Vitek1552 [10]

Answer:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

$y=ax^2+bx+c$

is given by:

$x_{vertex}=\frac{-b}{2\,a}$

In our case, the quadratic expression that generates the parabola is:

$y=-2x^2+24x+174$

then the x-position of its vertex is:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6$

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

$y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246$

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position $(x_{vertex},y_{vertex})$ :

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246$

Therefore the answer is:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

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3 years ago