Answer:
Step-by-step explanation:
(f.g)(x) = (x² - 2x + 3) (x³ - 4)
= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)
= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4
= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12
= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12
Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
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2.
6² + 8² = 100²
The wire must be 10 ft.
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3.
7² + 14² = 245²
The rope is 15.65 ft.
//
4.
180² + 300² = 122400²
He ran 349.85 ft.
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I'm not too sure about question 3.
Answer:
The 8th graders sold 180 more tickets
1) Correct.
2) The y-intercept is when x=0, so it is (0,5).
