5. Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? Explain your reasoning?
2 answers:
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Refer the attached figure for the graphic representation of the given quadratic equation.
<u>Step-by-step explanation:</u>
Given expression:
To find:
The graphic representation of the given quadratic function
For solution, plot the graph to the given quadratic equation.
The standard form of the equation is
When comparing with given quadratic equation,
a = 1, b = - 8, c = 24
Axis of symmetry is
By applying the values, the axis of symmetry of given equation is
The vertex form of quadratic equation is
Where, (h,k) are the vertex.
Convert the quadratic equation into vertex form.
By completing the square,
On comparison,
(h , k) = (4 , 8)
Now, plot the equation with vertex (4,8) [refer attached figure].
Answer:
Step-by-step explanation:
No. of T-Shirts sold in first week = 15
No. of T-Shirts sold in second week = 22
No. of T-Shirts sold in third week = 29
The number of shirts sold each week represents an arithmetic sequence.
15,22,29,....
So, a = first term = 15
d = common difference = 22-15= 29-22= 7
Formula of nth term :
a is the first term
d is the common difference
n is the number of term
Now substitute the values in the formula :
Where n is the number of weeks
Hence the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n is