Answer:
(-4, -2)
Step-by-step explanation:
To find if a point is a solution (or verifies) an inequation (or an equation), you simply have to enter the given values in it and see if it's true.
Let's try with all the 4 given choices:
(-4, -2)
y + x < -5
-4 - 2 < -5
-6 < -5 TRUE
(-3, -2)
y + x < -5
-3 - 2 < -5
-5 < -5 FALSE
(-2, -3)
-2 - 3 < -5
-5 < -5 FALSE
(-1, -3)
-1 - 3 < -5
-4 < -5 FALSE
Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:
The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident, 
.
Therefore we look for the critical value 
.
Then we calculate the variance:
And we have that:
<u>Now</u> we replace in the formula with the values we've just obtained:
Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.
Hey there!!
Equation Given : x + 3x - 36
In order to solve this, we will need to combine the like terms.
What are like terms?
Like terms are terms which have the same variable, in the equation given, the variable mentioned is x and hence, the like terms are x and 3x.
Now, we will need to combine x and 3x.
Let's take x as 1x and 3x as 3x.
Now, we will need to add both these like terms.
1x + 3x
x will be common, we will need to add 1 and 3
1 + 3 is 4 and hence, 1x + 3x = 4x
Hence, the final equation would be :
4x - 36
Hence, the answer is option ( c )
Hope my answer helps!
9.42 is the circumference, for future refernce its just pi times diameter :)
Answer:
Og(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
To understand how the parent function is transformed, you have to look at a few things.
Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis
Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis
<em>Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is </em><u><em>x+4</em></u><em>, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))</em>
<em>Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 </em><u><em>- 6)</em></u><em> (( this one does follow common sense))</em>
There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )
For more information: https://mathhints.com/parent-graphs-and-transformations/
