Answer:
The intersection point of the given lines is (1,1).
Step-by-step explanation:
Here, the given equations are:
y = - 2 x + 3
y = x
Substitute y = x in the first equation,
y = -2 x + 3 becomes y = -2 (y) + 3
or, y + 2 y = 3
or, 3 y = 3 ⇒ y = 3/3 = 1
⇒ y = 1
Now, as x = y ⇒ x = 1
Hence, the intersection points of the given lines is (1,1).
For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of
Step-by-step explanation:
A temperature falls from 0 to
in 
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is
The change in temperature is 


Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:

x° = - 3.5
x° = 
Thus per hour; the temperature falls at the rate of