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MAXImum [283]
4 years ago
11

Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether eac

h student's answer is an equivalent expression. Then choose an expression that is equivalent.
Mathematics
1 answer:
Mumz [18]4 years ago
5 0

Question is incomplete, here is the complete question below:

Three students were given the expression shown and were asked to take a common factor out of two of the terms.

Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

7-8x+22

Calvin: 7−2(4x+11)

Calvin's expression is (correct/incorrect) because .............

Greg: 7+14x

Greg's expression is (correct/incorrect) because ............

Ruben: 7+2(4x+11)

Ruben's expression is (correct/incorrect) because .

Equivalent Expression

The correct simplification of this expression is ...............

Answer:

The correct simplification of this expression is 7-2(4x-11)

Step-by-step explanation:

Calvin: 7−2(4x+11)

Calvin's expression is incorrect because if -2 is taken as common term then sign (+) should also be changed to (-)

i.e. 7−2(4x+11)  produces 7-8x-22 which is not equivalent to 7-8x+22

Greg: 7+14x

Greg's expression is incorrect because  7+14x  is not equivalent to 7-8x+22

Ruben: 7+2(4x+11)

Ruben's expression is incorrect because  7+2(4x+11) =7+8x+22 which is not equivalent to 7-8x+22

Equivalent Expression  is 7-2(4x-11)

The correct simplification of this expression is 7-2(4x-11)

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100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.
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Answer:

<h3>\frac{\sqrt{24}- \sqrt{54} }{\sqrt{6}} = -1   </h3><h3>\sqrt{\frac{9}{20}*\frac{10\sqrt{2} }{3\sqrt{5} } = 1.4142</h3><h3>\frac{10\pi\sqrt{2}-8\pi\sqrt{2}}{2\sqrt{2}}  = π =3.14159</h3><h3>\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}} = π² = 9.8696</h3>

Explanation:

1.) Rewrite √24 = \sqrt{4*6} = 2\sqrt{6}   Rewrite √54 =\sqrt{9*6}= 3\sqrt{6}

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as \frac{3}{2\sqrt{5}} ×\frac{10\sqrt{2}}{3\sqrt{5}}  The 3's cancel.  10/2 = 5√2 in the numerator.

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That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

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Subtract and we are left with π = 3.14159

4.) \pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}  The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈  9.8696

<h3> </h3>

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3 years ago
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