Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
It will be 1 because your multiplying it by 0
The numbers that add up to 105 if one is 13 more than the other one is
59 and 46
46 being the smaller number
59 being the number that's 13 more than the first
Answer:
I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!
Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).
If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).
Answer:
The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085
Step-by-step explanation:
We will assume that the salaries are Normally distributed. Lets call X the salary of a random major programmer in dollars. We want the pprobability of X being less than 38000. For it, we will standarize X. Lets call W the standarization, given by the formula
Lets denote 
the cumulative distribution function of the standard normal variable W. The values of are well known and they can be found in the attached file. Now, lets calcualte the probability of X being less than 38000 using
Since the density function of a standard normal random variable is symmetric, then 
The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085.
