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nata0808 [166]
3 years ago
5

Which of the following is one of the special product formulas?

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer: perfect square trinomials

Step-by-step explanation:

Although you don't provide the 4 multiple choice answers, here they are:

a) perfect square monomials

b) difference of terms

c) perfect square trinomials

d) difference of perfect squares

The answer is c) perfect square trinomials, for a perfect square trinomial is a trinomial that can be factored into a binomial multiplied to itself.

In the scenario of a perfect square trinomial, there will be 2 terms that'll be perfect squares. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

In this case, it is a special product formula because there's a specific formula for them — unlike the other answers.

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Given the area, to rewrite the function using distributive property we get:
6(2x+5y)
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2 years ago
Maya has 3 times as many dimes as nickels. She has 4 more quarters than nickels. if she has a total of $9.40, how many of each t
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Answer:  nickels = 14, dimes = 42, quarters = 18

<u>Step-by-step explanation:</u>

Let n represent nickels <em>which has a value of $0.05 </em>

Let d represent dimes <em>which has a value of $0.10</em>

Let q represent quarters <em>which has a value of $0.25</em>

It is given that:

                       n = n

                      d = 3n

                      q = n + 4

and their total value is $9.40    ⇒     n + d + q = $9.40

Use substitution to find the quantity of nickels:

.05(n) + .10(3n) + .25(n + 4) = 9.40

 5n    +  10(3n) +   25(n+4)   = 940           <em>multiplied by 100 </em>

 5n    +   30n   +  25n + 100 = 940          <em>distributed</em>

                            60n + 100 = 940          <em>added like terms</em>

                            60n           = 840          <em>subtracted 100</em>

                                 n           = 14            <em>divided by 60</em>

n = 14

                d = 3n

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                   = 42

                                       q = n + 4

                                          = (14) + 4

                                           = 18

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