<u>Option A)</u> when y=6 and w= 2, <u>Option B)</u> when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
<u>step 1</u>: let us <u>assume that x=3</u>, since it is given that x>2.
<u>step 2</u>: substitute the value of x=3 and each options in the inequality
<u>step 3</u>: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
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13 ) Go...



Factor x



These are the zeroes.
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14 ) Go...






These are the zeroes.
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Answer:
x=7
Step-by-step explanation:
The two angles are alternate interior angles. If they lines are parallel, then the angles are equal.
7x-7 = 4x+14
Subtract 4x from each side
7x-4x -7 = 4x-4x+14
3x-7 = 14
Add 7 to each side
3x-7+7 = 14+7
3x=21
Divide by 3
3x/3 =21/3
x=7
9514 1404 393
Explanation:
From your knowledge of the world, you know that ...
- the cost of multiple items is the sum of their individual costs
- multiplication can be used for repeated addition
- utility fees are the sum of fixed fees and usage-related fees
- for a phone plan, text message costs are a usage-related fee
The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable <em>t</em>. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.
The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...
fixed fees + usage-related fees = 12.50 + 450t
The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.
12.50 +450t = 35.00
Id say 0.187 because 0.033 times 17. then that number divided by 3