Question

Order the group of quadratic functions from widest to narrowest graph.
yequals3xsquared​, yequalsnegative one fourth
xsquared​, yequalsnegative two fifths
xsquared
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Part 1
Choose the correct answer below.
A.
yequalsnegative one fourth
xsquared​, yequals3xsquared​, yequalsnegative two fifths
xsquared
B.
yequals3xsquared​, yequalsnegative one fourth
xsquared​, yequalsnegative two fifths
xsquared
C.
yequalsnegative two fifths
xsquared​, yequals3xsquared​, yequalsnegative one fourth
xsquared
D.
yequalsnegative one fourth
xsquared​, yequalsnegative two fifths
xsquared​, yequals3xsquared
E.
yequals3xsquared​, yequalsnegative two fifths
xsquared​, yequalsnegative one fourth
xsquared
F.
yequalsnegative two fifths
xsquared​, yequalsnegative one fourth
xsquared​, yequals3xsquared
Answer
Find the number of​ real-number solutions of the equation below.
x squared minus 4 x plus 5 equals 0
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Part 1
Choose the correct answer below.
A.
The equation has one​ real-number solution.
B.
The equation has two​ real-number solutions.
C.
The equation has no​ real-number solution.
Answer
Which type of function best models the set of data​ points?
left parenthesis 0 comma 10 right parenthesis​, left parenthesis 1 comma 5 right parenthesis​, left parenthesis 2 comma 4 right parenthesis​, left parenthesis 3 comma 7 right parenthesis​, ​(4​,14​)
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Part 1
Which of the following functions is the most​ appropriate?
Linear model
Quadratic model
None
Exponential model
Answer
Which type of function best models the data​ set?
​(negative 1​,8​)​, ​(0​,6​), ​(2​,3.84​), ​(3​,2.88​)
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Part 1
Choose the correct answer below.
None
Quadratic model
Linear model
Exponential model
Answer
Determine whether the following table represents an exponential function. Explain why or why not.
x
0
1
2
3
y
6
9
27
33
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Part 1
Does the table represent an exponential​ function? Why or why​ not?
A.
​Yes, all of the​ x-values have a constant​ difference, and all of the​ y-values have a constant ratio.
B.
​Yes, all of the​ x-values have a constant​ ratio, and all of the​ y-values have a constant difference.
C.
​No, all of the​ x-values have a constant​ ratio, but all of the​ y-values do not have a constant difference.
D.
​No, all of the​ x-values have a constant​ difference, but all of the​ y-values do not have a constant ratio.
Answer
Suppose that when your friend was​ born, your​ friend's parents deposited ​$5000 in an account paying 6.9​% interest compounded quarterly. What will the account balance be after 13 ​years?
Question content area bottom
Part 1
The balance after 13 years will be ​$
  
enter your response here.
​(Round to the nearest cent as​ needed.)
Answered by GPT 3.5
F. y = -2/5x^2, y = -1/4x^2, y = 3x^2
Answered by GPT 3.5
C. The equation has no real-number solution.
Answered by GPT 3.5
A linear model is the most appropriate for the set of data points provided.
Answered by GPT 3.5
A quadratic model is the most appropriate for the set of data points provided.
Answered by GPT 3.5
D. No, all of the x-values have a constant difference, but all of the y-values do not have a constant ratio.

In an exponential function, the y-values would have a constant ratio as x increases. Here, the y-values do not exhibit a consistent exponential growth pattern, so it is not an exponential function.
Answered by GPT 3.5
To calculate the balance after 13 years with quarterly compounding, we use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the final amount
P = the initial principal (initial deposit in this case)
r = annual interest rate (6.9% or 0.069)
n = number of times interest is compound per year (quarterly compounding, so n = 4)
t = number of years (13 years)

Plugging in the values, we get:
A = $5000(1 + 0.069/4)^(4*13)

A = $5000(1 + 0.01725)^52

A = $5000(1.01725)^52

A ≈ $12296.46

Therefore, the account balance will be approximately $12,296.46 after 13 years.