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TEA [102]
3 years ago
9

Using the given information write the equation of parabolas:

Mathematics
1 answer:
lana [24]3 years ago
8 0

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit
Xelga [282]

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.)  2x+3y=1,470  

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3

5 0
3 years ago
Intercepts:
Tema [17]
An x-intercept is the point where the function passes the x axis at y=0.
The y-intercept is the point where the function crosses the y axis at x=0

1. It is an x-intercept, so y = 0. The ordered pair would be (-6, 0)
2. It is a y-intercept, so x = 0. The ordered pair would be (0, -2.3)
3. It is a y-intercept, so x=0. The ordered pair would be (0, 3/4)

To find the x-intercept, set y = 0. To find the y-intercept, set x=0

4. y-intercept: y = 3(0) -9. y = -9 The y-intercept is at (0, -9)
x-intercept: 0 = 3x -9. 9 = 3x. x = 3. The x-intercept is at (3, 0)

5. x intercept: 0 = 5x +10. -10 = 5x. x = -2. The x-intercept is at (-2, 0)
y-intercept: y = 5(0) + 10. y = 10. The y-intercept is at (0, 10)

If you look at finding the y-intercepts in the two problems above, you may see there is a pattern forming. The y-intercept is the number that your adding or subtracting that is located after the x (ex. y = 4x - 2 - the y-intercept would be -2)

9. First, find the x and y-intercepts. The y intercept is -3 You’d graph that at (0, -3). 0 = -1/2x - 3. -1/2x = 3. x = -6 so the x-intercept is at (-6, 0). If you only need to graph 2 points, then you can graph just those two points and draw a line between them.

To graph y=-1/2x + 3, start at the y-intercept and use the slope (-1/2) to find other points. Because your slope is -1/2, you’d go down 1 unit and then to the right 2 units. That would be your next point. If you wanted your line to go further up, go up one unit and then to the left 2 units. That would be your next point.

I am not sure what you need to do on 11 and 12

I think you should try 7, 8 and 10 on your own and let me know if you have any questions on them or if you are stuck on anything.
3 0
3 years ago
What is a term without a variable
Andre45 [30]
A term without a variable is called a constant term, and the degree of that term is 0 Hope that helps you I knew this was 0 beciase i study this a long time ago
3 0
3 years ago
As the amount of money supply decreases interest rates _____ which in turn causes spending to ______
Lunna [17]

Answer:

increase; decrease  

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given the relationship 2x2 + y3 =10, with y &gt; 0 and dy, dt = 3 units/min., find the value of dx, dt at the instant x = 1 unit
Allisa [31]
I believe it is -1/9. 
6 0
3 years ago
Read 2 more answers
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