Answer:
Vertex: (1/2, 9/2)
the axis of symmetry: 1/2
x-intercept(s): (2,0) , (-1,0)
y-intercept: (0,4)
Step-by-step explanation:
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Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
Answer:
Number 728 increased by 30% (30 percent) of its value (percentage increase) and calculated absolute change (actual difference)
Increase the number 728 by 30% of its value
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ordinary interest rate = principal × rates × ( time / 360)
exact interest rate = principal × rates × ( time / 365)
for states saving and loan of rate 7.25 %
ordinary interest rate = $ 2600 × 0.0725 × ( 90 / 360) = $ 47.125
total amount due after 90 days = $ 2647.125
for Security Bank of 7.5%
exact interest = $2600 × 0.075 × ( 90 / 365) = $ 48.75
amount due after 90 days = $ 2600 + $ 48.75 = $ 2648.75
b) considering the amount to be paid at maturity it is better to borrow state savings and Loan although the difference is not really much.
Answer:
216 ft³
Step-by-step explanation:
A cone has 3 sides
72ft³ times 3 is 216 ft³
