When the x-value has increased by 1 unit, the y-value has multiplied by 3, so we expect a function of the form (something)×(3^x). The last choice has that.
... f(x) = 4(3)^x
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You can always evaluate the offered choices at the given points to see which of them works. The second point (2, 36) will tell you the fastest.
4·3^-2 = 4/9 ≠ 36 . . . . . you can tell at this point you don't want -x as the exponent
3·4^-2 = 3/16 ≠ 36
3·4^2 = 48 ≠ 36
4·3^2 = 36 = 36 . . . . this is the one you want
Answer:
x=4
Step-by-step explanation:
multiplying everything by x-4 we get
5x=20+3x-12
2x=8
x=4
if my answer helps please mark as brainliest.
Answer:
4
Step-by-step explanation:
the 16 percent of 25 is 4.
9514 1404 393
Answer:
Step-by-step explanation:
a) The 36000 -23000 = 13000 difference in salary is being made up at the rate of 3000 -2000 = 1000 per year. It will take 13000/1000 = 13 years for the salaries to be the same.
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b) After 13 years, the salary will be ...
23000 +13(3000) = 23000 +39000 = 62,000 . . . dollars
36000 +13(2000) = 36000 +26000 = 62,000 . . . dollars
Answer: There is an asymptote at x = 4 and 2
and hole at x=2
Explanation:
To find vertical asymptote simply equate denominator to zero and find the value of x which is the vertical asymptote.
and hole is the point where numerator and denominator gives equal value
So, to find hole find fractions of numerator and denominator separately the common factor is the hole.
Here after factorisation the given function
![\frac{x^{2}+x-6} {x^{2}-6x+8} =\frac{(x-2)(x+3)}{(x-2)(x-4)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2Bx-6%7D%20%7Bx%5E%7B2%7D-6x%2B8%7D%20%3D%5Cfrac%7B%28x-2%29%28x%2B3%29%7D%7B%28x-2%29%28x-4%29%7D)
Here, (x-2) is the common factor in numerator and denominator is the hole and value of x at denominator after equating to zero is x=2 ,4