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3 years ago

Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²

Step-by-step explanation:

When completing the square, the number that needs to be added to both sides is (b/2)²

In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.

So, her first error was adding 4² to both sides instead of 2²

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Which is an arithmetic sequence?

astraxan [27]

Answer: the arithmetic sequence is

3, 10, 17, 24

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.

Considering the following sequences,

1) 4 - 1 = 3

9 - 4 = 5

There is no common difference and so, it is not an arithmetic sequence.

2) 10 - 3 = 7

17 - 10 = 7

The common difference is 7. So it is an arithmetic sequence.

3) 6 - - 5 = 11

10 - 6 = 4

There is no common difference and so, it is not an arithmetic sequence.

4) 2 - 1 = 1

4 - 2 = 2

There is no common difference and so, it is not an arithmetic sequence.

7 0

4 years ago

The average cost of online photos decreased

SCORPION-xisa [38]

Answer:

The average rate of change is -0.034 which means that the decrease is -0.034 in the cost of per print per year

Step-by-step explanation:

Given that

Price of print in 2002 = p1 =$0.50

Price of print in 2013 = p2 =$0.13

y1 = 2002

y2 = 2013

The rate of change is given by the formula:

$r = \frac{decrease}{run}$

Here decrease is the change in price and run is the difference in years.

Mathematically, it can be written as:

$r = \frac{p_2-p_1}{y_2-y_1}$

Putting the values

$r =\frac{0.13-0.50}{2013-2002}\\r = \frac{-0.37}{11}\\r =-0.0336\\r = -0.034$

Hence,

The average rate of change is -0.034 which means that the decrease is -0.034 in the cost of per print per year

6 0

3 years ago

Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.

jok3333 [9.3K]

$-\frac{10}{3}=-3.\overline{3} > -3.\overline{5}$

So, the answer is A.

5 0

2 years ago

Read 2 more answers

Does 8,6,4 contain numbers that are less than 10

raketka [301]

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3 years ago

995² evaluate and answer

ollegr [7]

Answer:

Step-by-step explanation:

995 2 = 990025

Thia is the correct answer

6 0

3 years ago