Answer:
The correct answer is y = 20x.
Step-by-step explanation:
Answer:
The graph is positive and decreasing for all real values of x where x < -1
Step-by-step explanation:
we have

The function is a vertical parabola open up
The roots (x-intercepts) are x=3 and x=-1
The vertex is the point (1,-4 ) is a minimum
using a graphing tool
see the attached figure
we know that
In the interval (-∞,-1) ---> the function is positive and decreasing
In the interval (-1,1) ---> the function is negative and decreasing
In the interval (1,3) ---> the function is negative and increasing
In the interval (3,∞) ---> the function is positive and increasing
therefore
The graph is positive and decreasing for all real values of x where x < -1
Answer:
Henry does not make money if he does not sell any apples.
Step-by-step explanation:
Henry sells apples. The graph of the relationship between the price of apples and their total weight passes through the point (0,0) or origin.
Now, we have to clarify the meaning of the point (0,0) on the graph.
We choose from the options that Henry does not make money if he does not sell any apples.
Therefore, option D will be the correct one. (Answer)
Statements Reasons
1.) M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2 1.) Given
2.) CM=MD 2.) Definition of midpoint
3.) 5x-2=3x+2 3.) Substitution
4.) 2x-2=2 4.) Subtraction Property of Equality
5.) 2x=4 5.) Subtraction Property of Equality
6.) x=2 6.) Division Property of Equality
Step-by-step explanation:
Let the ages of son and daughter be 5x and 4x Then
By the question
The age of a man is equal to the sum of the ages of his son and daughter . So
5x + 4x = 9x
Now
it is given that
age of the man = 45
or 9x = 45
x = 45 / 9
x = 5
Finally
Age of son = 5x = 5 * 5 = 25
Age of daughter = 4x = 4 * 5 = 20
Hope it will help :)❤