Write the following expression without parentheses and simplify fully -4(2x-3)

4x^2 - 9y^6 what patterns can be used ? please and thank you !!!

S_A_V [24]

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

$4x^2-9y^6$

It should be noted that both terms are perfect squares:

$(2x)^2=4x^2$

$(3y^3)^2=9y^6$

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

$(U^2-V^2)=(U+V)(U-V)$

Thus, the answer is

B. (U+V)(U-V)

3 0

3 years ago

1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal

Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

(c) gross wage : 584 + 551.15 = 1135.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

4 0

3 years ago

Two angles of a triangle measure 22 and 53 what is the measure of the third angle

Musya8 [376]

The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)

3 0

3 years ago

A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the b

Pachacha [2.7K]

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

$\frac{30}{100}$ x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = $\frac{1200}{30}$

= 40

The number of gallons that would completely fill the bathtub is 40 gallons.

6 0

2 years ago

To find 25% of a number, divide the number by

Vadim26 [7]

Answer:

To calculate 25 percent of a number, simply divide it by 4. For example, 25 percent of 12 is 12 divided by 4, or 3. 10 percent means one tenth. To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left.

Step-by-step explanation:

8 0

3 years ago

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