Answer:
-2x³ - 14x² + 7x - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4
- Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4
- Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4
- Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4
- Combine like terms: -2x³ - 14x² + 7x - 4
x>7
Step-by-step explanation:
when dividing by a (-)
the inequality sign changes
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Answer:
18. Its 2 meters.
19. Its 0.2 grams
20. Its 1,920
Step-by-step explanation:
When you convert 200 centimeters to meters its 2.
When you convert 2,000 milligrams in grams its 0.2
15% of 12, 800 is 1,920
Hope this helps:)
Answer:
The Answer is: the Number is -2
Step-by-step explanation:
Let n = the number.
Five times the number minus 10 is less than 6 times the number minus eight:
5n - 10 = 6n - 8
-1n = -8 + 10
-n = 2
n = -2, the value of the number is -2.
Proof:
5(-2) - 10 = 6(-2) - 8
-10 - 10 = -12 - 8
-20 = -20
Hope this helps! Have an Awesome Day!! :-)
