Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D
Answer: 34 stuffed animals & 17 mystery boxes.
First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.
The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.
17 x 2 = 34
As for the mystery boxes, you need to multiply it by one.
17 x 1 = 17.
In summary, the answer is 34 stuffed animals and 17 mystery boxes.
Answer:
<u>2.256 x 10 to the power of 25</u>
Step-by-step explanation:
There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen
So, there are x atoms in 600 grams of oxygen
Using the ratio and proportional
So, the number of atoms = 600 * 3.76 x 10 to the power of 22 =
So, the answer in scientific notation as A.BCD x 10 to the power of E
Will be <u>2.256 x 10 to the power of 25</u>
