CAN SOMEONE HELP ME I DONT KNOW WHAT IM FREAKING DOING
2 answers:
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Answer:
Step-by-step explanation:
All we are doing here is solving for the b in
, which is the standard form for an exponential function.
Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):
so
and use that when you write the next equation using the next coordinate pair:
which simplifies to
4 = 6b so
, the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.
Answer:
(-2, 4, -2)
x=-2, y=4, z=-2.
Step-by-step explanation:
So we have the three equations:
And we want to find the value of each variable.
To solve this system, first look at it and consider what you should try to do.
So we can see that the second and third equations both have an x.
Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.
Therefore, let's first isolate the variable in the second and third equation.
Second Equation:
First, divide everything by -2 to simplify things:
Subtract x from both sides. The xs on the left cancel:
Now, divide everything by -2 to isolate the z:
So we've isolated the z variable. Now, do the same to the y variable in the third equation:
Subtract x from both sides:
Divide both sides by 2:
Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:
Distribute the third term. The -2s cancel out:
Since there is still a fraction, multiply everything by 2 to remove it:
Distribute:
Combine like terms:
Add 2 to both sides:
Divide both sides by 7:
Therefore, x is -2.
Now, plug this back into the second and third simplified equations to get the other values.
Second equation:
Third equation:
Therefore, the solution is (-2, 4, -2)