Answer:
x = 7 m and x = −7 m
Step-by-step explanation:
Its a modulus problem
concept
|x| = x when x>=0
|x| = -x when x < 0
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Now given
|x| − 2 = 5
adding 2 both sides
|x| − 2 + 2 = 5 + 2
|x| = 7
now
x = 7 when x >= 0
x = -7 when x<0
Thus, correct answer is x = 7 m and x = −7 m
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where
is the the number of apples,
is the number of pears and
is the number of oranges:
1) 
2) 
3) 
- You must substitute the equation 3) into the equation 2):

- Now, you need to solve for
in the equation 1) and then you must substitute it into
:


- Solve for
, as following:

- Therefore, there are 152 apples.