Find the equivalent exponential expression. Please do step by step, I want to learn this.
1 answer:
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Answer:
(x, y) = (-1, -3) or (4, 12)
Step-by-step explanation:
A graphing calculator can show the solutions to this system.
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You can equate expressions for y and solve for x.
3x = x^2 -4
x^2 -3x = 4 . . . . add 4-3x
x^2 -3x +2.25 = 6.25 . . . . complete the square by adding (-3/2)^2 where -3 is the coefficient of x.
(x -1.5)^2 = 2.5^2 . . . . . . rewrite as squares
x -1.5 = ±2.5 . . . . . . . . . . take the square root
x = 1.5 ± 2.5 = -1, +4
y = 3x = -3, +12, respectively
Solutions are ...
(x, y) = (-1, -3) . . . . and . . . . (4, 12)
Answer:
Rita spend of hour more on her chemistry assignment.
Step-by-step explanation:
Fraction of an hour Rita spent on chemistry assignment =
Fraction of an hour Rita spent on math assignment =
∴ Fraction of hour Rita spent more on her chemistry assignment than math assignment
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To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8
To make the denominators same we need to multiply numerator and denominator of second fraction with 2.
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After making the denominators common, we simply subtract numerators.
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Therefore, Rita spend of hour more on her chemistry assignment.