Solve for x: |x − 2| 10 = 12 a.) x = 0 and x = 4
b.) x = −4 and x = 0
c.) x = −20 and x = 4
d.) no solution

Answers

Answer 1
Answer: |x - 2| + 10 = 12
|x - 2| = 12 - 10 = 2
x - 2 = 2 or x - 2 = -2
x = 2 + 2 or x = -2 + 2
x = 4 or x = 0

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'Solve using perfect square factoring patterns. x^2 – 12x + 36 = 4'

What is the product?

2x(x – 4)

Answers

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: a (b + c) = ab + ac.

So:

2x (x - 4) = 2x * x-2x * 4\n2x (x - 4) = 2x ^ 2-8x

Thus, the product of 2x (x - 4) is: 2x ^ 2-8x

Answer:

The product of 2x (x - 4) is: 2x ^ 2-8x

Answer:

The product of 2x(x- 4)=2x^2-8x

Step-by-step explanation:

Given : Expression 2x(x-4)

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive propertya(b+c)=ab+ac

Where a= 2x, b=x, c=-4

2x(x- 4)=2x(x)+2x(-4)

2x(x-4)=2x^2-8x

Therefore, The product of 2x(x-4)=2x^2-8x

What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?answer in terms of pie

Answers

volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³

An online bank statement reads as follows: Account balance: $986.24

Car payment: $203.34
Gas bill: $96.67
Check deposit: $1289.60
Cash deposit: $45
Debit card transaction: $67.12
ATM withdrawal: $30

Find the current account balance to date.



A. $1,923.71
B. $937.47
C. $1,726.52
D. $1,555.33

Answers

Answer:

Option A. $1,923.71would be correct

Step-by-step explanation:

Account balance : $986.24

Total deductions = Car payment + Gas bill + Debit card transaction + ATM withdrawal

Total deductions = 203.34 + 96.67 + 67.12 + 30 = $397.13

Now subtract the total of payments and withdrawals from initial balance

986.24 - 397.13 = $589.11

Now add all the check and cash deposits

Total deposits = Check deposit + Cash deposit

Total deposits = 1289.60 + 45.00 = $1334.60

$589.11 + 1334.60 = $1923.71

Current account balance to date would be $1923.71.

Final answer:

The current balance of the account is $1923.71. This is calculated by adding the deposits to the initial balance and then subtracting the various expenses and withdrawals.

Explanation:

To find the current bank account balance, we start with the initial balance and add any deposits. After that, we subtract all the expenses and withdrawals. In this case, the initial balance is $986.24. We add the check deposit of $1289.60 and the cash deposit of $45, and get $2320.84. Then we subtract the car payment of $203.34, the gas bill of $96.67, the debit card transaction of $67.12, and the ATM withdrawal of $30. The resulting balance, $1923.71, is the final balance to date.

Learn more about Bank Account Balance Calculation here:

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Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?Round your answer to the hundredths place.
Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?

Round your answer to the hundredths place.

Answers

Answer:

$0.67

Step-by-step explanation:

Cost of Watch on both sites=$45

Watches for Less charges a shipping fee of 4% of the cost of the watch.

Therefore, total cost of the watch at Watches for Less

=$45+(4% of 45)=45+(0.04 X 45)

=45+1.8

=$46.8

Tick Tock charges 2.5% of the cost of the watch for shipping.

Therefore, total cost of the watch at Tick Tock

=$45+(2.5% of 45)=(45+0.025X45)

=45+1.13

=$46.13

Difference In Cost

Cost at Watches for Less-Cost at Tick Tock

=$46.8-46.13

=$0.67

The total cost of the watch will be $0.67 less if purchased from Tick Tock

Which expression is not a polynomial?11p - 7q

8xy^4 - 5x^3y

2 - x

-4/y

Answers

2-x is not a polynomial so there fure its the 3rd choice which is c

Tony had 1 1/2 gallons of orange juice. He drank 2/7 of the orange juice he had. How mucj orange juice did Tony drink?

Answers

Answer:

(3)/(7)gallon.

Step-by-step explanation:

Amount of orange juice Tony had  is 1(1)/(2) gallons.

Amount of orange juice drank by him is (2)/(7) of the orange juice he had.

To find the amount of orange juice Tony drink, we need to first convert the amount of orange juice Tony had in improper fraction, as the amount of juice he had is given in Mixed fraction.

So, amount of orange juice Tony had is 1(1)/(2) =(3)/(2) gallons.

Now, to find the amount of orange juice Tony drink, we need to multiply (3)/(2) and (2)/(7)

So, amount of juice Tony drink is (3)/(2)* (2)/(7)

=(3)/(7)

Hence, amount of orange juice Tony drink is (3)/(7) gallon.

change 1 1/2 into a improper fraction. then multiply across. so 2 times 3 over 7 times 2. which equals 6/14. then simplify to get 3/7 as your final answer.