Answer:
g(x) = - x² - x + 12
Step-by-step explanation:
Given
g(x) = (- x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- x(x - 3) - 4(x - 3) ← distribute both parenthesis
= - x² + 3x - 4x + 12 ← collect like terms
= - x² - x + 12 ← in standard form
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
Step-by-step explanation:
25
5,000 divided by 200
The Decimal number system has following rules.
Suppose you have to write a number 4,567,892 .
2 -ones - (first period)
9-tens - (first period)
8-hundreds - (first period)
7-thousands - (second period)
6-ten thousand- (second period)
5-hundred thousand- (second period)
4-million- (third period)
then comes ten million,hundred million and then Billion.
If a number is given you have to apply commas from left to right after every three places.
So, your number is 9,418.
8-first period
1--first period
4--first period
9- second period
Answer:
0.76
Step-by-step explanation:
0.48, 0.66, 1.02, 0.82, 0.7, 0.94
Organize the numbers from least to greatest.
0.48, 0.66, 0.7, 0.82, 0.94, 1.02
Then find the middle (Median is the middle).
0.48, 0.66, 0.7, |?| 0.82, 0.94, 1.02
Take the two numbers closest to the middle. Add them.
0.7 + 0.82
= 1.52
Divide that with 2.
= 0.76
