Answer:
No, you are only partially correct. Select sqrt(12)/3 and sqrt(8).
Step-by-step explanation:
An irrational number is simply a number that results in a non-repeating and non-terminating decimal. A rational number is simply any number that can be expressed as a ratio of whole numbers. Using these definitions, let's go through each answer choice:
<u>- 1 / 3 --> Rational number</u> since ratio of -1 to 3
<u>0.6666 (repeating) --> Rational number</u> since common ratio results in repeating non terminating number. In this case, 2/3.
<u>sqrt(12) / 3 --> Irrational number</u> since we have the ratio (2/3) times sqrt(3). The sqrt(3) is irrational itself since it cannot be expressed as a whole number ratio, and results in a non-repeating and non-terminating decimal. sqrt(12) reduces into sqrt(4 * 3) which reduces into 2sqrt(3).
<u>(sqrt(2))^2 --> Rational number</u> since the square root operation is negated by the square operation leaving the whole number 2.
<u>sqrt(8) --> Irrational number</u> since we have 2 * sqrt(2), which itself cannot be expressed as a whole number ratio, and results in a non-repeating and non-terminating decimal. sqrt(8) reduces to sqrt(4 * 2) which reduces to 2 * sqrt(2)
Hence, our two irrational numbers are sqrt(12)/3 and sqrt(8).
Cheers.
Answer:
C
Step-by-step explanation:
In the box plot we can see that
- minimum points awarded: 0
- maximum points awarded: 100
then, options B and D are incorrect
The median in the box plot is 70. In option A, the median is 95, and in option C, the median is 70.
In option C, also, Q1 is located at 50 (like in the box plot), and Q3 is located at 95 (like in the box plot)
Answer:
Just solve for x
2.9(x + 8) < 26.1
2.9x + 23.2 < 26.1
Subtract 23.2 from both sides
2.9x < 2.9
Divide 2.9 from both sides
x < 1
So it's the bottom choice. x is less than 1 has an open circle on 1 with an arrow pointing left.
Answer:
10 7/14
Step-by-step explanation:
Add
Answer:
Less than 2, or (0,2)
Step-by-step explanation:
So, we need to find when the Common Cent's Bank account will be GREATER than the Money's Bank. We know that the Money's Bank is the first question, and that the Common Cent's Bank account is the second one. (I don't know what the | is for at the end, so I'll just ignore it). Now we need to find out when one is GREATER than the other, so we will use an inequality.
-0.82x+8.9 > -0.12x+7.5
Now that we have this, we simple solve for x. First step will be to bring -0.12x to the other side, creating
-0.82x+8.9+0.12x > -0.12x+7.5
-0.70x+8.9 > 7.5
Now, we will bring the constants to the other side. In this case, put 8.9 to the right side by subtracting from both sides.
-0.70x+8.9-8.9 > 7.5-8.9
-0.70x > -1.4
Now that we have that, we will divide both sides by -0.70. Don't forget, when dividing by a negative number, always flip the inequality sign (> to <)
-0.7x/-0.7 < -1.4/-0.7
x < 2
So, the range in which they have to right checks to make more money will be if they right less than 2 checks.