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uysha [10]
3 years ago
14

A store sells new video games for $55 each. Used video games sell for $12 each. Paul is buying 3 new video games and x

Mathematics
1 answer:
harina [27]3 years ago
4 0

answer:

y = 165+12x should be the answer

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Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0
3 years ago
Read 2 more answers
I need help plz<br> 12<br> 10<br> 8<br> 12.5
kherson [118]

Answer:

8

Step-by-step explanation:

5 0
2 years ago
Determine the length of a chord whose central angle is 150° in a circle with a radius of 223 centimeters. Question 12 options: 1
faltersainse [42]

Answer:

4) 430.8 centimiters

Step-by-step explanation:

3 0
3 years ago
Light travels 186,282 miles per second. How many miles will light travel in one year? (Use 365 days in a year) This unit ofdista
Phantasy [73]

Answer:

5,874,589,152,000 mi.

Step-by-step explanation:

3 0
3 years ago
Simplify (6x^-2)^2 (0.5x)^4 Show your work<br> PLEASE HELP THANK YOU!
goldenfox [79]

Use Multiplication Distribute Property: (xy)^a = x^ay^a

6^2(x^-2)^2(0.5x)^4

Simplify 6^2 to 36

36(x^-2)^2(0.5x)^4

Use this rule: (x^a)^b = x^ab

36x^-4(0.5x)^4

Use the Negative Power Rule: x^-a = 1/x^a

36 × 1/x^4(0.5x)^4

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

36 × 1/x^4 × 0.5^4x^4

Simplify 0.5^4 to 0.0625

36 × 1/x^4 × 0.0625x^4

Simplify

2.25x^4/x^4

Cancel x^4

<u>2.25</u>

6 0
3 years ago
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