Answer:
Step-by-step explanation:
150 - 120 = $ 30
For $30 , as per Plan A, he can watch 30÷5= 6movies
As per plan B, If Neil rents more than 6 movies, ie 7, 8 , .... then it would be a better buy
Ans: c and d
Answer:
im not exactly sure, but i think it would be PART A: either option B or D by going diagonal across the grid and then normal across the grid. PART B: option B because that is the shortest option going diagonal that matches with the options available
Step-by-step explanation:
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
- Given equation: ax³ + bx² + cx + d
- Group a & b, c & d: (ax³ + bx²) + (cx + d)
- Pull GCFs and factors
Let's apply these steps to the given equation.
- Given equation: 2x³ + 6x² + 10x + 30
- Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
- Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)
As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
- List GCFs: 2x², 10
- Create a term: (2x² + 10)
Finally, we'll need to simplify this one by taking another GCF, 2.
- Pull GCF: 2(x² + 5)
Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
The answer is 63 cm bc 30 60 90 triangles have a rule where the short leg is x longer is x√3 and the hypotenuse is x2
you can see this if you imagine the triangle as equilateral then cutting it in half
Step-by-step explanation:
to convert pounds into ounces you'd
actually multiply 16 by 30:
30 * 16
you're doing this because if one pound equals 16 ounces, if you have 30 pounds then you must've had more ounces. therefore you'd multiply.
which is 480 pounds
Enjoy!
