Answer:
Find a line which also has 3/4 as the slope or 3x - 4y in standard form.
Step-by-step explanation:
If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:
3x - 4y = 1
-4y = -3x + 1
y = 3/4x - 1/4.
Find a line which also has 3/4 as the slope or 3x - 4y in standard form.
Answer:
(0,20)
Step-by-step explanation:
1) we can represent the situation as coordinates
lets have # of texts be "x" variable
lets have bill be "y" as the y variable is always the dependant variable and the cost of the phone bill is dependant upon the number of texts so
y=mx+b-slope-intercept form
coordinates: (50,25) and (100,30)
slope: (30-25)/(100-50)
5/50=1/10
hence slope=1/10
y=1/10x+b
substitute in a coordinate pair into this equation
25=50*1/10+b
25=5+b
b=20
hence y intercept is (0,20)
Answer:
10. 7n - 1 < -8
Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:
7n - 1 (+1) < - 8 (+1)
7n < - 8 + 1
7n < - 7
Isolate the variable, n. Divide 7 from both sides:
(7n)/7 < (-7)/7
n < -7/7
n < -1
n < -1 is your answer.
11. 3 > -7v + 4v
Combine like terms, then isolate the variable, v. First, add -7v and 4v together.
3 > (-7v + 4v)
3 > (4v - 7v)
3 > (-3v)
Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:
(3)/-3 > (-3v)/-3
3/-3 > v
-1 < v
v > -1 is your answer.
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Jamal factored it completely.
in Jennifer's answer, 3x+3 has a common factor of 3 which can be factored to become 3(x+1) which is what Jamal did.
