Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
...(i)
The function goes through point (0,12). Substituting
, we get


The function goes through point (3,6144). Substituting
in the general exponential function, we get





Putting
in (i), we get

Therefore, the required exponential function is
.
Let's simplify step-by-step. <span>7−<span>4<span>(<span>3−<span>(<span><span>4y</span>−5</span>)</span></span>)</span></span></span>
<span><span><span /></span></span>Distribute:<span> =<span><span><span>7+<span><span>(<span>−4</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(<span>−<span>4y</span></span>)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(5)</span></span></span></span><span>=<span><span><span><span><span>7+</span>−12</span>+<span>16y</span></span>+</span>−20</span></span>
<span><span /></span>Combine Like Terms: <span>=<span><span><span>7+<span>−12</span></span>+<span>16y</span></span>+<span>−20</span></span></span><span>=<span><span>(<span>16y</span>)</span>+<span>(<span><span>7+<span>−12</span></span>+<span>−20</span></span>)</span></span></span><span>=<span><span>16y</span>+<span>−25</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span /></span></span>Answer: <span>=<span><span>16y</span>−<span>25</span></span></span>
Answer:
press delete
Step-by-step explanation:
Answer:
Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.
Answer:
2.2y+1.2z
Step-by-step explanation:
Add y + 1.2y
Now you can't simplify anymore so this is your answer
2.2y+1.2z