Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Answer:
option B
Step-by-step explanation:
Sum of interior angles of a polygon with n sides:
![[ \ because \ straight \ line \ angle = 180^\circ \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20because%20%5C%20straight%20%5C%20line%20%5C%20angle%20%3D%20180%5E%5Ccirc%20%5C%20%5D)
That is ,
OR
Sum of exterior angles of a regular polygon = 360
Given 1 exterior angle of the regular polygon is 40
Therefore ,
Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
Wait just a minute. Hold up. Hee haw. Whoa !
Coming down to Earth for just a second ... what in the world is
the "distance" between integers anyway !
Answer:
First option
Step-by-step explanation:
√31 = 5.56....
√26 = 5.09....
So m is less than k but greater than 5.
k is greater than k but less than 6.
So the first option is more logical
