Answer:
3 / 6 .
Step-by-step explanation:
Put them in order from lowest to highest. Identify the lowest number in the data set, as well as the highest number. Subtract the lowest number in the set from the highest number. The resulting value is the range of the set of temperature values.
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
<em><u>1</u></em><em><u>.</u></em><em><u> </u></em><em><u>Indian </u></em><em><u>System</u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
(a) 23,45,678
(b) 56,78,090
<em><u>2</u></em><em><u>.</u></em> <em><u>International</u></em><em><u> </u></em><em><u>System</u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
(a) 234,589
(b) 9,807,062
(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
