The ratios should be,
11. no, it's not a constant trend.
12, 1;2
13, The ratio should be multiplying by 10.
I'm not sure about 13
<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.
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If an atom has a let's say, +2 charge, it will mean that the atom has two more protons than electrons. Protons have +1 charges and electrons have -1 charges. So, said this, if you had one more proton than an electron, it would be a -1 charge. Because of this, if an atom had a +1 charge, it would have to have one more proton than electrons. So, the answer could be "the atom must have 22 electrons" but, the question is sort of vague? It could really be anything.
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1
Hope this helped! Let me know if you have any questions.
Heres all of them including the finished one.. just in case
75x - 35 ≥ 77x + 63 + 4 Distributive property.
75x -35 ≥ 77x + 67 Combine like terms.
-2x - 35 ≥ 67 Subtraction property of equality.
-2x ≥ 102 Addition property of equality.
<span>x ≤ 51 Division property of equality.
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