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Brums [2.3K]
2 years ago
9

Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4 −2 ⋅4 −3 ) 3 left parenthesis, 4, start superscri

pt, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed. \begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned} ​ =(4 −2 ⋅4 −3 ) 3 =(4 −5 ) 3 =4 −2 = 4 2 1 ​ ​ Step 1 Step 2 Step 3 ​ Did Chris make a mistake? If so, in which step? Choose 1 answer: Choose 1 answer: (Choice A) A Chris did not make a mistake. (Choice B) B Chris made a mistake in Step 1. (Choice C) C Chris made a mistake in Step 2. (Choice D) D Chris made a mistake in Step 3.
Mathematics
1 answer:
vlada-n [284]2 years ago
6 0

Answer: Chris made a mistake in step 2

(It was in Khan Academy)

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The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)
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Answer: 6x^2+11

Step-by-step explanation:

Given the polynomial of degree 3:

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The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.

 You can observe that the GCF of both set are factored out (4x and 9), then, you can find  the common factor that is missing from both sets of parentheses with this procedure:

(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)

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3 0
2 years ago
Habib is making some scones.
sergeinik [125]

Answer:

180^\circ C

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

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If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

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Read 2 more answers
What ratio is equivalent to the ratio 18:24
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18:24=18/24

18/24 reduces to 3/4

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