Find two numbers that multiply to -28 (last term) and add to -3 (middle term)
Those two values are -7 and 4
-7 plus 4 = -3
-7 times 4 = -28
Since the numbers are -7 and 4, this means the given expression factors to (x-7)(x+4)
The two factors are x-7 and x+4
The factor x+4 isn't listed in the list of answer choices, so we can ignore it. The factor x-7 is listed as choice B, so that is the only answer.
Answer:
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Step-by-step explanation:
B = 4
A line with a slope of zero is a perfectly horizontal line, which means the y value (the second value) stays the same for every single point on the line.
So, if y equals 4 in the first point, then y still equals 4 in the second point, which means b is equal to 4.
Distances are considered to be non-negative in all cases.
The absolute value function is necessary to get a positive result when the difference of coordinate values is negative.
The square root function is defined to return a positive result always, so no absolute value function is required when the distance is found using the square root function.
Answer:
a. Plan B; $4
b. 160 mins; Plan B
Step-by-step explanation:
a. Cost of Plan A for 80 minutes:
Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:
f(80) = 8
This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.
Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.
Plan B will cost $12.
Therefore, Plan B cost more.
Plan B cost $4 more than Plan A ($12 - $8 = $4)
b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.
At 160 minutes, they both cost $16
The plan that will cost less if the time spent exceeds 160 minutes is Plan B.