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
I am almost 100% sure that this is the correct answer -1/32.
14 baseballs + 23 tennis balls = 37 total balls
x = the number of boxes
16x + 37 <== ur expression
Without doing the math, you can can see that the 100ft marker is about 1/3rd of the bottom(combining the triangle and the rectangle) This floor is practically(if not exactly) the same length of each vertical side of the building.
"100 x 3" is 300, So I am pretty sure the answer is 308.
Good luck!
-RxL
Answer:
y=(3/5)x+1
Step-by-step explanation:
Slope-intercept form of a line is as follows
y=mx+c, where m is the slope of the line and c is the y intercept.
Hence the equation of the line is y=(3/5)x+1