Answer:
|x +17| = 15
Step-by-step explanation:
The absolute value equation ...
|x -b| = c
can be rewritten as two equations:
x -b = -c
x -b = c
The solution to the first is x = b -c.
The solution to the second is x = b +c.
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The first solution is the smaller of the two, so we have ...
b -c = -32
b +c = -2
Adding these two equations gives ...
2b = -34 ⇒ b = -17
Subtracting the first equation from the second gives ...
2c = 30 ⇒ c = 15
The the equation you seek is ...
|x +17| = 15
Answer: f(x) = 22x
Step-by-step explanation:
1.) Divide 132 by 6 weeks, to get the amount of time spent each week on homework.
<em>132 / 6 = 22</em>
2.) Create the equation. Because x represents the number of weeks and 22 minutes a week is spent on homework, the equation is as follows:
f(x) = 22x
Answer:
Step-by-step explanation:
1. Not a function
2. Not a Function
3. Function
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y - 1 = 0 ( subtract 3x - 1 from both sides )
y = - 3x + 1 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = - 3x + 7 ← equation of line in form y = mx + c
Answer:
Step-by-step explanation: 5x-5=3x+13---> 5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps