<h3>
There are 3 answers: Choice A, Choice D, Choice F</h3>
Explanation:
2 & 1/2 = 2.5
10 + (-2.5) can be represented by starting with 10 and then dropping by 2.5, which is what choice A is saying
or we can start with -2.5 and add on 10. This works because we can add numbers in any order, example: 2+3 = 3+2 = 5. So starting with -2.5 and adding on 10 is represented by choice D's and choice F's examples
B the highest point is at three points 3,1 and as the graph has no higher value of point it is a maximum therefore B
When we add or subtract polynomials, the addition or subtraction is applied to the coefficients of the terms of equal powers.
For the given polynomials, we are required to do subtraction as follows:
(-4.1 x^2 + 0.9 x - 9.8) - (1.7 x^2 - 2.4 x - 1.6)
= -4.1 x^2 + 0.9 x - 9.8 - 1.7 x^2 + 2.4 x + 1.6
= (-4.1-1.7) x^2 + (0.9+2.4) x + (-9.8+1.6)
= -5.8 x^2 + 3.3 x - 8.2
The final expression (solution) is:
-5.8 x^2 + 3.3 x - 8.2
324
Because you multiply 9 by 36
Answer/Step-by-step explanation:
1. (7j³ - 2) + (5j³ - j - 3)
Open the parentheses
7j³ - 2 + 5j³ - j - 3
Collect like terms. Like terms are terms that have the same degree.
7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)
12j³ - j - 5 (this already in descending order)
2. (8a⁵ - 4) + (3a⁵ + a - 2)
Open parentheses
8a⁵ - 4 + 3a⁵ + a - 2
Collect like terms
8a⁵ + 3a⁵ + a - 4 - 2
12a⁵ + a - 6 (in ascending order from largest to smallest degree)
3. (6m² + 1) + (3a⁵ + a - 2)
6m² + 1 + 3a⁵ + a - 2
Collect like terms
6m² + 3a⁵ + a + 1 - 2
6m² + 3a⁵ + a - 1
Rearrange from largest to smallest degree
3a⁵ + 6m² + a - 1
4. (3m⁵ + 1) + (9m⁵ + 3m - 2)
3m⁵ + 1 + 9m⁵ + 3m - 2
Collect like terms
3m⁵ + 9m⁵ + 3m + 1 - 2
12m⁵ + 3m - 1
5. (- 5x² - x + 4) + (- 3x² - 5x + 2)
Open parentheses
-5x² - x + 4 - 3x² - 5x + 2
Collect like terms
-5x² - 3x² - x - 5x + 4 + 2
-8x² - 6x + 6
