Answer:

Step-by-step explanation:
You can use the quadratic formula to find the root.
It's probably easier to recognize that (-1)(-5) = 5 and -1-5=-6, so the roots are -1 and -5.
Hi!
In this question, you would first solve both equations, and then find the graph that best applies both of them.
To solve 3-x is greater then or equal to 2, you would add the x and subtract the 2, leaving you with 1 is greater than equal to x.
To solve 4x+2 is greater than or equal to 10, you would first subtract the 2 and then divide by 4, leaving you with x is greater than or equal to 2.
Our two equations are x is greater than or equal to 2, and 1 is greater equal to x, or 2 is smaller than or equal to x which is smaller than or equal to 1.
The graph that matches this compound equation is C.
Answer:
We need a sample size of at least 101
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?
We need a sample of at least n.
n is found when M = 2. So






Rounding up
We need a sample size of at least 101
<span>The first step you need to do is to rewrite
x+y=3
as y=3-x
</span><span>Now we can replace the y in the equation with our newfound value for y, which is
y=3-x.
So lets write it now like this
Q=x^2+2(3-y)^2
=x^2+18-12x+2x^2
=3x^2+18-12x
</span>Hope this helps