Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
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).
Is there answer choices? does it give you any numbers for the sphere
Hey There,
The equation would be y = 4x - 45
Point slope formula
(y-y1)=m(x-x1)
Plug in the numbers
(y-3)=4(x-12)
Solve for y.
4 * x = 4x
4 * -12 = -48
Bring 3 to the other side (change the sign)
-48 +3 = 45
Therefore, the equation would be y = 4x - 45
