Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
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Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
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similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
Answer:
840cm
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Answer:
At most 25%
Step-by-step explanation:
The fraction of the distribution that can exceed n standard deviations from the mean is 1/n². For a standard deviation of 5 and a mean of 80, a score of 90 is (90-80)/5 = 2 standard deviations from the mean. Scores better than that can be at most (1/2)² = 1/4 = 25% of the total number of scores.
Answer:
x > -3
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: 
Given function:
Therefore, x-value of function's vertex:
<u>Final Solution</u>
The function is increasing when x > -3
