Let's solve your equation step-by-step.
<span><span><span><span>x2</span>+4</span>+32</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>x2</span>+36</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 2: Subtract 12x^2+48 from both sides.
<span><span><span><span>x2</span>+36</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)</span></span>=<span><span><span>12<span>x2</span></span>+48</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)
</span></span></span><span><span><span>−<span>11<span>x2</span></span></span>−12</span>=0
</span>Step 3: Use quadratic formula with a=-11, b=0, c=-12.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(0)</span></span>±<span>√<span><span><span>(0)</span>2</span>−<span><span>4<span>(<span>−11</span>)</span></span><span>(<span>−12</span>)</span></span></span></span></span><span>2<span>(<span>−11</span>)
</span></span></span></span><span>x=<span><span>0±<span>√<span>−528</span></span></span><span>−<span>22
Hopefully this helps!
</span></span></span></span>
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Answer:
13- A 14-B
Step-by-step explanation:
You take the formula (x1+x2/2, y1+y2/2) and plug in accordingly. For instance, when you plug the values in for 13, you would get:
x1+-9/2, y1+7/2= -8,2
All you have to do from there is a simple guess and check or plug in each number from the multiple answer choices you have. You should then get A (-7,-3) Do the same with 14, in which you should get B (11,-20)
Sorry for taking so long to answer but hope this kind of helps.
Answer:
14.625
Step-by-step explanation:
As per the situation the solution of mean and standard deviation change, based on all 12 samples is represented below:-
Mean of all 12 samples is shown below:-
So, the Mean = 23.5
and now,
The Standard deviation of all 12 samples is shown below:-
![= \sqrt{\frac{1}{12}} (36-23.5)^2+(14-23.5)^2+(21-23.5)^2+(39-23.5)^2+(11-23.5)^2+(2-23.5)^2+(33-23.5)^2+(45-23.5)^2+(34-23.5)^2+(17-23.5)^2+(1-23.5)^2+(29-23.5)^2}]](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B12%7D%7D%20%2836-23.5%29%5E2%2B%2814-23.5%29%5E2%2B%2821-23.5%29%5E2%2B%2839-23.5%29%5E2%2B%2811-23.5%29%5E2%2B%282-23.5%29%5E2%2B%2833-23.5%29%5E2%2B%2845-23.5%29%5E2%2B%2834-23.5%29%5E2%2B%2817-23.5%29%5E2%2B%281-23.5%29%5E2%2B%2829-23.5%29%5E2%7D%5D)
= 14.625
Therefore, we used the above equation to reach the answer.
The x-coordinate of the solution. 1
