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Amanda [17]
3 years ago
14

Find an equation in the form y=ax2+bx+c for the parabola passing through the points.(−3,61), (4,96), (2,16)

Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

9657

Step-by-step explanation:

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Help with math please.
lys-0071 [83]
Hello,

The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.

Now let's find the y-intercept by using the formula of point-slope form, 
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first 
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points. 

Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.

In conclusion, the rate of change is -3 and the y-intercept is 18. 

I hope this helps!

May
3 0
3 years ago
Read 2 more answers
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
adelina 88 [10]

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

4 0
3 years ago
What is nuclear waste?whats the answer frnds
Ghella [55]
Nuclear waste is a substance that is made from radioactive material or corrosive substances which come together to make a very toxic waste.
7 0
3 years ago
What is the area of CDEF? Please could you also say how you got your answers, it will be much appreciated.
ziro4ka [17]
This image has the step by step solution

7 0
3 years ago
What are the slopes ?
Viefleur [7K]

Answer:

11. is a slope of -7/2

12. is a slope of 4 :)

Step-by-step explanation:

7 0
3 years ago
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