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)
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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
Jake’s family traveled a total of 1,543 miles
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6 × 30 = 90
280 - 90 = 190
190 / 2.50 = 76
We can check using multiplication.
2.50 × 76 = 190
Percy delivered 76 pizzas.
Answer: 0 - 4
Step-by-step explanation:
0 - 4 = -4
-3 + 4 = 1
1 - 5 = -4
1) The first thing we need to do is to find the total number of visitors. This is going to be our Sample Space
31+26+2=31+28=59 Visitors altogether
2) The next thing to do is to find the favorable event. Note that we can see that 26 people purchased only one costume.
3) The final and last step is to find the probability, so we can write out the following:
Thus, this is the answer: 0.90