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Answer:
y=(x+5)(x+2)
Step-by-step explanation:
Intercept form of quatratics is the best way to solve this equation, since you're given the roots needed.
The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].
So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).
Answer:
No solution
Step-by-step explanation:
This is just a simple system of equations.
y=-1/4x+2
8y+2x=-40
Get the same variables onto their corresponding sides, so it will look like this:
y=-1/4x+2
8y=-2x-40
Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.
8y=-2x+16
8y=-2x+40.
But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.
Answer:
1/3 of the original
Step-by-step explanation:
As an an object is scaled up with the same proportions, one might think ts strength to weight ratio scales up with it. However, since the object as it scales greater in size also increases in weight, the strength to weight ratio actually decreases. If the elephant is scaled up 3 times, then its strength to weight ratio is divided by the same amount and is 1/3 the original or 1/3 as much.