Answer: Meghan spent $687.5 per year.
Step-by-step explanation:
Let x represent the amount of money that Scott spends per year for auto insurance.
Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is
25/100 × x = 0.25 × x = 0.25x
Therefore, the amount that Meghan spends would be
x + 0.25x = 1.25x
If the amount that they spent together is $1237.50 per year, it means that
x + 1.25x = 1237.5
2.25x = 1237.5
x = 1237.5/2.25
x = 550
The amount that Meghan spent per year would be
1.25 × 550 = 687.5
Answer:
Yes. They are equivalent.
Step-by-step explanation:

- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.
I really hope that this helped :)
Answer:
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