The numbers inside the parenthesis is the value of x, uses the equation associated with the value of x and solve.
H(1) Since 1 fits 1≤x≤3 use x^3
x^3 1^3 = 1
h(1) = 1
h(4) 4 fits x >3, so use 5
h(4) = 5
Answer:
4x + 2y = 7
Step-by-step explanation:
The standard form equation goes as follows: Ax + By = C
We know what A, B, and C is so all we need to do is fill them in.
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
Answer
y=9/3x
Step-by-step explanation: