By what factor does the output value increase as each input value increases by 1?

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer: 2

Each time x increases by 2, the outputs are multiplied by 4 (eg: 3 to 12 is times 4, or 12 to 48 is times 4)

Take the square root of 4 to get 2. So each time x increases by 1, y is doubled
x = 0, y = 3
x = 1, y = 6 <<-- y is doubled
x = 2, y = 12 <<-- y is doubled
and so on

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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa

bagirrra123 [75]

(x + 3) • (x - 12)

The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -36 

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
 x2 - 12x + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-12)
 Add up the last 2 terms, pulling out common factors :
 3 • (x-12)
Step-5 : Add up the four terms of step 4 :
 (x+3) • (x-12)
 Which is the desired factorization

Final result : (x + 3) • (x - 12)