. a. answers vary
b. Yes; the taller the person is, the longer his or her reach.
c. The independent quantities were represented by the x-axis, while the dependent
_quantities were represented using the y-axis.
d. A trend line can generalize the trend in the data.
1-18. a. The graph is in the first quadrant because negative lengths do not exist; the range
of the data determines the kind of graph.
b. Counting by 10’s makes the graph a reasonable size.
c. In this situation, including the origin with the graph is not suggested. It is easier to
see the trend line when the data are not bunched together, and this can be done by
changing the range of the graph to exclude the origin.
d. The graph should include the maximum height (that of Yao Ming) on the x-axis
and the height of the tunnel on the y-axis.
1-21. a. b. c. d.
e. f. g. h.
1-22. a. –8 b. 29 c
Answer:
in steps
Step-by-step explanation:
The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers for each questions
3x²-9x+2=0
x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)
x = (9 + √57) / 6 or x = (9 - √57) / 6 (alpha and beta) or (beta and alpha)
(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)
= ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))
= ((9² - (√57)²)/36) (10 ± √57)
= (24/36) (10 ± √57)
= 2/3 (10 ± √57) or (11.7 or 1.63)
(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab
if a is alpha
= ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))
= √57/3 + 2/3
= (√57 + 2) / 3
if a is beta
((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))
= - √57/3 + 2/3
= - (√57 + 2) / 3
Answer:
23.142857143 calories or 23 1/7 calories
The unit rate is calories per cup
Step-by-step explanation:
7- cup serving = 81 calories
2 cups = x calories
Cross Multiply
2 cups × 81 calories = 7 cups × x
x = 2 cups × 81 calories/7 cups
x = 23.142857143 calories or 23 1/7 calories
Answer:
98°
Step-by-step explanation:
x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 98°
The sum of these will simply be the sum of all the numbers 1 through 26, which is 351.
