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Jet001 [13]
2 years ago
10

The sum of x and 4 is greater than the difference of 2x and 3. Find x

Mathematics
1 answer:
Dafna1 [17]2 years ago
7 0

Answer:

3 i think

Step-by-step explanation:

add 3 and 4 =7

or

multiply 2 and 3= 6 and subtract 3 = 3

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A pool is being drained at a rate of 120 gallons per minute.What is this rate in quarts per hour?
zysi [14]
There are 4 quarts in 1 gallon, so a rate of 120 gallons per minute converts to 4 x 120 = 480 quarts per minute. To find the per hour rate, we simply multiply our per minute rate by 60, obtaining 480 x 60 = 28800 quarts per hour.
7 0
2 years ago
(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0
3 years ago
How many solutions does the equation −4y + 4y + 2 = 2 have? Two None One Infinitely many
Ulleksa [173]

Answer:

Infinitely many

Step-by-step explanation:

Because the equation is equal to 0+0

5 0
2 years ago
(f^3-5f+25)-(4f^2-12f+9)
pochemuha

Answer:

3−42+7+16

Step-by-step explanation:

if its simplify

8 0
2 years ago
The sale is being held from 11 a.m to 7 p.m on sunday, and from 9 a.m to 7 p.m on monday. How many hours will the sale last?​
PSYCHO15rus [73]
8+10=18as your final answer
3 0
3 years ago
Read 2 more answers
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