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.
37 1/2. Since the decimal is in the tens place, the best, and easiest, denominator to use is 10, which results in 37 5/10 which then can be simplified into 37 1/2
6. three kids and four adults
Step-by-step explanation:
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When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
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We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
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Move SP to right hand side and change it's sign :
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This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
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Answer:
HI SORRY IM, SPEAK SPANISH... FROMN COLOMBIA
Step-by-step explanation:
HOLI MK NO SE HABLAR INGLES CHAU