Step-by-step explanation:
your expression for the dependence of r on S is correct
Answer:
2<x<4/3
Step-by-step explanation:
Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.
Solving the resulting equation
|3x-5| > 1.
Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.
For positive value of the function;
+(3x-5) > 1
3x > 1+5
3x>6
x>6/3
x>2 ... (1)
For the negative value of the function;
-(3x-5) > 1
On expansion
-3x+5 > 1
-3x > 1-5
-3x > -4
Multiplying through by -1 will also change the inequality sign
x < -4/-3
x < 4/3...(2)
Combining equation 1 and 2, we have;
2<x<4/3
Answer:
<em>D.) 0</em>
Step-by-step explanation:
Its not A. cause 2y−2=0 is y = 1
Its not B. cause 2y−1=0 is y = 1/2
Its not C. cause 2y−3=0 is y = 3/2
Soo... The only option left is D.
It IS D. cause 2y − 0 = 0 is y=0
<em>So you are Correct!!!</em>
<em>hope I helped... <3</em>
<em>Good luck dear :)</em>
Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: 
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope</u>
where the two given points are 
and 
Plug in the given points (-1, 4) and (0, 2)
Therefore, the slope of the line is -2. Plug this into :
<u>2) Determine the y-intercept</u>
Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:
I hope this helps!
