Answer:
n = , n =
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n =
2n - 1 = 0 ⇒ 2n = 1 ⇒ n =
Answer:
1-True
2-True
3-False
Step-by-step explanation:
1- All negative numbers are <0 and to the left on a number line. All positive numbers are >0 and are on the right of a number line.
2- When the number line moves to the right, the number gets larger.
3- You could have a negative number that is smaller than another number, but its distance from 0 could be greater. For example, -12 < 2. However, -12 is 12 places away from zero on the number line, but the number 2 is only two places away from zero on the number line.
Probability that Eli will get a blue pen: 6 / 13 ( there are 6 blue pens and 13 pens together ).
Probability that Eli will not get the pink highlighter: 6 / 9 ( yellow + green = 4 + 2 = 6 and there are 9 together ).
P = 6/13 · 6/9 = 6/13 · 2/3 = 2/13 · 2 = 4/13 = 0.3077 = 30.77%.
Answer:
The probability is 4/13 or 30.77%.
Step-by-step explanation:
How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.