Allison didn't drive at constant rate.
Step-by-step explanation:
We need to identify if time and distance have proportional relationship
A relationship is proportional if y/x = k
If x = time and y = distance and y/x is equal to constant then they have proportional relationship.
if x= 1, y=65 then k is:
y/x = 65/1 = 65
if x=2, y =120 then k is:
y/x = 120/2 = 60
if x=3,y=195 then k is:
y/x = 195/3 = 65
if x=4,y=220 then k is:
y/x = 220/4 = 55
if x=5,y=300 then k is:
y/x = 300/5 = 60
Since, y/x ≠ k i.e the ratio of y and x doesn't equal to the constant rate, so time and distance doesn't have proportional relationship.
So, Allison didn't drive at constant rate.
Keywords: Proportional Relationship
Learn more about Proportional Relationship at:
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Answer:
see attached
Step-by-step explanation:
You have done the hard part: finding the vertex.
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The leading coefficient is the coefficient of the x^2 term. It is +1, a positive number, so the parabola <em>opens upward</em>.
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The x-coordinate of the vertex for a parabola described by ...
f(x) = ax² +bx +c
is ...
x = -b/(2a)
For this parabola, a=1, b=6, c=2, and the x-coordinate of the vertex is ...
x = -6/(2(1)) = -3
The value of the function at that point is ...
f(-3) = (-3)² +6(-3) +2 = 9 -18 +2 = -7
The coordinates of the vertex are ...
(-3, -7)
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The axis of symmetry is the vertical line through the vertex. Its equation will be ...
x = -3
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Some points on the graph can be found by choosing x-values near the vertex value. They will be symmetrical about the axis of symmetry. When the leading coefficient is 1, the y-values will increase above the vertex point by the square of the x-distance from the vertex. The point at x= (-3 +2) will be at y = (-7 +(2²)), or (x, y) = (-1, -3). The symmetrical point is (-5, -3).
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship,
If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
In this section, you will learn, how to find the constant of proportionality from a table which contains the values of x and y.
Step-by-step explanation:
I hope that helps, I'm so sorry if it doesn't
Answer:
8 Answer is a) R
<em>And</em>
9 Answer is b) -4
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18 females, 13 males, total: 31 students.
•female french students: 2
•male french students: 5
probability: <u>male french</u><u> </u> = 5/31,
total students
edit: as a percentage, 16.129 %