Answer:
see below
Step-by-step explanation:
We can use the rational root theorem.
3x^2 – 6x -7 = 0.
List factors of p:
p is the constant term,7 so the factors are
-7,7,1,-1
List factors of q:
q is the coefficient of the leading term 3
+3,-3,+1,-1
List possible zeros: +/- p/q
±7/3, ±1/3, ±7/1, ±1/1
±7/3, ±1/3, ±7, ±1
A = b*h*0.5
24 = 4*0.5*h
24 = 2*h
h = 12
Height is 12 inches.
Answer:
Table B
Step-by-step explanation:
The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.
A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3
second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3
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B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1
second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.
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C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3
second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3
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D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1
second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1
50 students preferred science...
Explanation:
we can consider the numbers 5 and 4 in the ratio as units
now we need to know how much each unit represent
units = 5 + 4 = 9
my sample = 90 students
each unit = 90/9 = 10 students
so each unit represents 10 students
back to the ratio
who preferred science = 5
who preferred English = 4
Number of students choose Science = 5 * 10 = 50