Answer:
1 2/9 or 1.2222222222222
Step-by-step explanation:
5/9 + 4/6
= 5 * 2/9 * 2 + 4 * 3/6 * 3
= 10/18 + 12/18
= 10+12/18
=22/18
= 22 ÷ 2/18 ÷ 2
= 11/9 = 1 2/9
Answer:
5 miles
Step-by-step explanation:
60 miles / 12 days
5 miles
<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>
Answer:
B.35
Step-by-step explanation:
The sequence is
14, ,56,....
14 , x , 56
Think of it as 14 + d = x
x+ d = 56
d is the common difference
We now have 2 equations and 2 unknowns
Substitute the first equation in for x into the second equation
x+d =56
(14+d) +d = 56
Combine like terms
14 + 2d = 56
Subtract 14 from each side
14-14 + 2d = 56-14
2d = 42
Divide by 2
2d/2 =42/2
d = 21
The common difference is 21
Now we can find x
14 + d = x
14+ 21 = x
35 =x
The unknown term is 35
