Provide an appropriate response.The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.
What will be an ideal response?
No, the data cannot be modeled by a linear equation because the reported cases are not increasing at a constant rate. Assume a linear equation, and examine the slope of the two line segments. The slope of the segment from (0, 372) to (8, 100,000) is 12,453.5 while the slope of the segment from to
is 33,333.
.(Explanations will vary.)
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A line passes through the point and has slope -2.62. For what ?x value does the point
lie on the line?
?
A.
B.
C.
D.
Provide an appropriate response.Solve the system of equations using the substitution method:x - 4y = 3-2x + 8y = -6
A. x = 0, y = -
B.
dependent; many solutions
C.
inconsistent; no solution
D.
x = 3, y = 0
Solve the equation.2 + =
A.
B.
C.
D.
Which of the following are true?
(a) All squares are rhombi. (b) All rectangles are parallelograms. (c) All parallelograms with congruent diagonals are rectangles. (d) All rhombi with congruent diagonals are squares. (e) Both (a) and (b) are correct. (f) Answers (a)–(d) are all corr