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topjm [15]
3 years ago
11

A student is asked to calculate the value of 752 − 702 using the identity x2 − y2 = (x − y)(x + y). The student's steps are show

n below.
Step 1: 752 − 702 = (75 − 70)(75 + 70)

Step 2: = (5)(155)

Step 3: = (5)(150) + 5(5)

Step 4: = 750 + 25

Step 5: = 775

The correct answer should be 725. In which step did the student make his first error?
Step 1
Step 2
Step 3
Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0
Step 2, 5*155= 775,which means the steps after that would make the answer even more variable
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Answer:

  1. C) (x − 3)2 = 25
  2. C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

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3 years ago
Michael put the following items in his shopping basket
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c. $9

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$3.98 + $4.19 + $0.79 = $8.96

Round to the nearest whole number which would be 9

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3 years ago
Marissa bought 2 and a half gallons of orange juice to make punch how many quarts of orange juice did. Marissa buy
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Help asappppp<br> please
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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The graphs can be described as shown below.

A.) The first graph has the y-intercept at 2. Therefore, the first graph can be described by the equation, y =5x + 2.

B.) For the second graph, the graph passes through the point (-1,0). Therefore, if we substitute the value of y as 0 in the equation y=3x+3, we will get x=-1.

Hence, the equation of the second graph is y=3x+3.

C.) For the third graph, the graph passes through the point (-1.5,0). Therefore, if we substitute the value of y as 0 in the equation y=2x+3, we will get x=-1.5.

Hence, the equation of the second graph is y=2x+3.

Learn more about Equation of Line:

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4 0
2 years ago
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lbvjy [14]

Answer:

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