Answer:
x=2
Step-by-step explanation:
You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have 10=5x. Then you would divide 5 by 5 and 10. You will get x = 2
:)
A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)
Solving (1), (2) and (3) gives a = 9, b = -5, c = 19
Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425
Therefore, it costs $425 to produce 7 calculators.
Answer:
Corresponding side lengths and angle measures of two congruent triangles are also congruent.
Step-by-step explanation:
If two triangles ABC and DEF are congruent (see below figure) to each other then, AB=DE, BC=EF, AC=DF and <A=<D, <B=<E, <C=<F
To answer this question you will need to find the total volume the rain barrel can hold. Then find the volume of water that it is currently holding.
Subtract these two amounts to find the total amount of water or can still hold.
Then convert this amount to gallons.
1. V = pi x r^2 x h
3.14 x 1.25^2 x 3.5
V = 17.17 cubic feet
2. Same formula
3.14 x 1.25^2 x 1.5
V = 7.36 cubic feet
3. 17.17 - 7.36 = 9.81 cubic feet
4. 9.81 x 7.5 = 73.575 gallons or approximately 74 gallons.
