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larisa86 [58]
3 years ago
12

Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.

In which step did Susu first make an error? Step 1 Step 2 Step 3 Step 4

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer:

Step 2

Step-by-step explanation:

Susu is solving the quadratic equation 4x^2 - 8x - 13 = 0 by completing the square

To apply completing the square method we need to get x^2 alone

Susu added 13 on both sides . So step 1 is correct

When we factor out 4, we divide both terms by 4

4(\frac{4x^2}{4} -\frac{8x}{2} )=13

4(x^2-2x)=13

Susu forgot to divide 8 by 4

So , error in step 2

anzhelika [568]3 years ago
6 0

Answer:

Step 3

Step-by-step explanation:

when solving by completing the square you are supposed to do (b/2)^2 and then add that to both sides.

In your example (-8/2)^2=16

You are supposed to add sixteen to both sides not 64

Susu forgot to divide 8 by 2 before she raised it to the to the second powerm that is why she got 64, which is incorrect.

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Solnce55 [7]

I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

12,23,34,45,56,67,78,89

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.

\text{Number: } 12,\ \ 4\times \text{sum of digits: } 12\ \ \text{plus six: } 18\neq 12

\text{Number: } 23,\ \ 4\times \text{sum of digits: } 24\ \ \text{plus six: } 30\neq 23

\text{Number: } 34,\ \ 4\times \text{sum of digits: } 28\ \ \text{plus six: } 34

So, the answer is 34.

3 0
3 years ago
10m^3 of air weigh 13 kg.
Lemur [1.5K]

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Step-by-step explanation:

Since the density of the air remains constant in the question

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3 0
3 years ago
*ANSWER CORRECTLY TO BE BRAINILEAST*
posledela

Answer:

90

Step-by-step explanation:

The mode of the set is the number that occurs the most. In this case, 90 occurs more than any of the other terms. You can keep track using a tally chart:

80     |

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6 0
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Howdoyouwrite 2/4 as a percentage? write your answer using a percent sign %?
xz_007 [3.2K]
First, divide 2 by 4 which = 0.5
Next, move the decimal point two places over to make 0.5 = 50.0
Then, take 50.0 and add the % sign. This would make = 50%
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3 years ago
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