Answer:
Option A and Option C
Step-by-step explanation:
Option A: 
This is completely factored as 8 is the Highest Common Monomial factor
Option B: 
This is not completely factored as 2 is still a common factor of 6y2 and -2.
Option C: 
This is completely factored as 4y2 is the Highest Common Monomial factor
Option D: 
This is not completely factored as 2y is still a common factor of 4y6 and 2y.
So the options that are completely factored are Option A and Option C
<h3>
Answer: Choice C) </h3><h3>
The system can only be independent and consistent</h3>
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Explanation:
Let's go through the answer choices
- A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
- B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
- C) We'll get back to this later
- D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.
Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.
If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.
Answer:
angle1=70
angle2=65
angle4=115
angle7=45
angel6=45
angle5=45
Step-by-step explanation:
110+angle1 = 180
angle1 =180-70
angle1 = 70
115+angle2=180
angle2=180-115
angle2=65
angle4=115 because lines are parallel
angle1+angle2+angle7=180 because triangle
70+65+angle7=180
135+angle7=180
angle7=180-135
angle7=45
angel6=45
angle5=45
1) In a proportion: y/x=k
k is your constant of proportionality.
x is your independent variable and y is your dependent variable.
Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.
So k=1.5 (3/2)
3)
a) y/x as a showed above. This question is very similar to #1.
b) y/x=k
Answer:
Hi there your answer is 
Step-by-step explanation:
Hi... You have to muliply 4 and 2 which will equal to 8
Then, if you know the exponent rule for the Product Rule or don't I'll still give it you here it is
In this case we will be adding 3 and 3 which will equal to 6
Which your answer will be
