9514 1404 393
Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:
The rule is x₁ = 2 x₂ = x₁ * 2 x₃ = x₂ + 3 x₄ = x₃ * 2 x₅ = x₄ + 3 ...
Step-by-step explanation:
Unable to use a single equation to define this sequence
The rule is x₁ = 2 x₂ = x₁ * 2 x₃ = x₂ + 3 x₄ = x₃ * 2 x₅ = x₄ + 3 ...
Multiply 2 then Plus 3 then multiply 2 then plus 3 ......
2,4,7,14,17,34, 37, 74, 77, 154....
B. Because you can easily just eat at home and avoid paying to eat
498 is approximately 500
12 is approximately 10
500/10 = 50
So, 498/12 is approximately 50.
Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.
