Answer:
(0.5, 0) will be the midpoint by applying formula which is
add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer
The answer is 88 5/6 . If you were stuck try turning the fractions into improper fractions and multiply both of them and later divide the numerator by the denominator to have a mixed number. You can later simplify the fraction to get 88 5/6. If you need help don't be afraid to tell me in the comments! Hope this helps :)
(4logs/2hours) = (x logs/8 hours)
(4/2) = x/8)
Cross multiplication gets you:
(4)(8) = (2)x
32 = 2x
x = 16
16 logs
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’
So;
(3y^10)(2y^2) is equal to (3)(2)(y^10+2).
6y^12/8y^5
When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.
6y^12/8y^5 = 3y^7/4
