<span>Using
the points (2, 45) (4, 143) and (10, 869), we can plug them into the
following system of 3 equations using the y = ax^2 + bx + c format:
45 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c
which simplifies to:
45 = 4a + 2b + c
143 = 16a + 4b + c
869 = 100a + 10b + c
Solving the system, we get a = 9, b = -5, and c = 19. Thus the equation is:
c(x) = 9x^2 - 5x + 19
If you have a TI graphing calculator, you can also enter the points by
pressing Stat -> Edit and enter (2, 45) (4, 143) and (10, 869) into
it. Go back and calculate the QuadReg of the points from the Calc tab
and it will give you the same answer.
Now that we know the function that will produce the price of production
for any number of calculators, plug in x = 7 and it will give you the
price to produce 7 calculators.
c(x) = 9x^2 - 5x + 19
==> c(7) = 9(7)^2 - 5(7) + 19
==> c(7) = 441 - 35 + 19
==> c(7) = 425
Therefore, it costs $425 to produce 7 calculators.
Hope this helps.
</span>
There is no y intercept since there are no points on y axis so?
√- 81 doesn't result in a rational number because you can't get a negative from squaring any number. Instead you get a number with an imaginary number.
13 - √- 81 = 13 - 9i
Answer:
y=-1/4x+5
Step-by-step explanation:
Use the point-slope form which is y-y1=m(x-x1) where m is the slope. In this case, y is equal to 3, and x is equal to 8, and the slope is equal to -1/4. Therefore, the equation will be equal to y-3=-1/4(x-8). Simplify that to get y-3=-1/4x+2. Simplify this again to get y=-1/4x+5. Therefore, the equation is y=-1/4x+5.
Y/3=x or y divided by 3 is equals x. They are the same thing just but the equation in word form.
