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dybincka [34]
3 years ago
6

Leah will purchase a DVD and a CD. Which algebraic expression could Leah use to find the value of these items?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
Let the DVD = x
let the CD = y

x+y = cost
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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
What is the value of h?
algol [13]

The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...

3h + 18 + 15h = 180

Combine like terms

18h + 18 = 180

Subtract 18 to both sides

18h + (18 -18) = 180 - 18

18h = 162

Isolate h by dividing 18 to both sides

18h/18 = 162 /18

h = 9

Hope this helped!

8 0
2 years ago
Read 2 more answers
A total of $76,000 is to be​ invested, some in bonds and some in certificates of deposit​ (CDs). If the amount invested in bonds
Anestetic [448]

Answer:

The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is  $ 41,000

Step-by-step explanation:

Given as :

The total amount to be invested as bonds and certificates of deposit (CD) = $76,000

Let the amount invested as bonds = $ x + $6000

And The amount invested as CD = $ x

Now, According to question

The amount invested as CD + The amount invested as bonds = $ x  + $ x + $6000

Or, $ x  + $ x + $6000 = $76,000

Or, $ 2x = $76,000 - $6000

So,  $ 2x = $70,000

∴  x = \frac{70000}{2} = $ 35,000

And $ x + $6000 = $ 35,000 + $6000 = $ 41,000

Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is  $ 41,000    Answer

4 0
2 years ago
The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?
7nadin3 [17]

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

7 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 to the 3 power PLZ HELP
sdas [7]
5428.67 cubic inches88959.99 cm³<span>88.96 liters</span>
7 0
3 years ago
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