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olganol [36]
3 years ago
10

A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

Option (b) is correct.

The expression is equivalent, but the   term is not completely factored.

Step-by-step explanation:

Given :  a student factors  to

We have to choose the correct statement  about   from the given options.

Given   is factored to

Consider    

Using algebraic identity,

comparing  and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the   term is not completely factored.

Option (b) is correct.

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Noah wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of th
beks73 [17]

Answer:

$74.36 sorry all i got

Step-by-step explanation:

First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:

Where:

is the sales price of the item: what we are solving for in this part of the problem.

is the regular price of the item: $79.16 for this problem.

is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as  

12

100

Substituting and calculating  

gives

79.16

79.16

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100

79.16

949.92

100

79.16

9.4992

69.6608

69.66

rounded to the nearest cent.

Now we can find the total price of the item with tax included. The formula for this is

#t = p + (p * r)

Where, this time:

is the total price: what we are solving for in this problem.

is the price of the item: it is the sales price of the item for this problem which is $69.66

is the tax rate: 6.75% or, using the same rule as in the formula above:  

6.75

100

Substituting and calculating  

gives:

69.66

69.66

6.75

100

69.66

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100

69.66

4.70205

74.36205

74.36

rounded to the nearest cent.

Noah would pay a total cost (with the discount and after tax) of $74.36

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3 years ago
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What number must you add to complete the square? x^2-7
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Answer:

12.25

Step-by-step explanation:

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3 years ago
A relative frequency table is made from data in a frequency table.
Yuki888 [10]

Answer:

The value of g in the relative frequency table is 33%.

Step-by-step explanation:

We are given the following information; A 4-column table with 3 rows. The first column has no label with entries likes A, B, total. The second column is labeled C with entries 20%, 32%, 51%. The third column is labeled D with entries g, 16%, 49%. The fourth column is labeled total with entries 53%, 47%, 100%.

Representing the above information in tabular form, we get;

                       C                  D                Total

       A            20%               g                 53%

       B             31%              16%              47%

     Total         51%              49%             100%

Now, after seeing the whole table, it is clear that value of g is given by;

                  20% + g = 53%

                    g = 53% - 20%

                    g = 33%

Hence, the value of g in the relative frequency table is 33%.

6 0
3 years ago
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