Answer:
F(x) = 17x^2 - 13x + 2
Step-by-step explanation:
Given the pair of simultaneous equation:
y=-2/5x-2
y=5x+1
To evaluate the solution of the system of equation from the graph, we obtain the point at which the two linear equations have intersected. taking the values of x and y from the point of intersection that will be the solution of the system of linear equations.
In our case the straight lines have intersected at the point (-0.5, -1.75). This implies that:
x=-0.5
y=-1.75
hence the answer is a] (-0.5, -1.75)
Im pretty sure its b im soo sorry if im wrong.
<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:

Converse: Alternate Interior Angles Converse
Step-by-step explanation:
By the Alternate Interior Angles Converse, if
, then l || m.
Use the equation to solve for x as follows:

Subtract 9x from each side


Add 23 to both sides


Divide both sides by 5

