Answer: 6
Step-by-step explanation:
There are 6 different combinations of choices for the date:
- Thai food, movie
- Thai food, ice skating
- Thai food, art museum
- Italian food, movie
- Italian food, ice skating
- Italian food, art museum
An easier way to solve for this is multiply by how many choices are in each category.
In food there is 2 choices, in activities there is 3 choices
Therefore: 2 x 3 = 6
Use the distributive property to combine like terms. Since we only have one X value and one y value we need to use the 4. 2x times 4 is 4x. 3y times 4 is 6y. Now the equation can be simplified to 4x plus 6y. We have no more like terms so the equation cannot be simplified any further without more context.
Answer:
C
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the constant term (- 39) which sum to give the coefficient of the x- term (- 10)
The factors are - 13 and + 3, since
- 13 × 3 = - 39 and - 13 + 3 = - 10, hence
x² - 10x - 39 = (x - 13)(x + 3) ← in factored form
x - 13 is a factor → C
