Answer:
a) 0.8
b) 0.075
c) 0.04
d) 3.3125
Step-by-step explanation:
To find the decimal of a fraction, just divide.
And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
x = 10
x = y + 10
y = x + 10
The axis of symmetry follows the x = h format, where h is the x-value of the vertex. Of the given options, only the equation 'x = 10' fits this format, thus it represents the axis of symmetry for the asked parabola.
The equation that represents the axis of symmetry for a parabola follows the format x = h, where h is the x-value of the vertex of the parabola. In this case, our options are: y = 10x, x = 10, x = y + 10, and y = x + 10. Looking at these options, only the equation x = 10 follows the correct format for an axis of symmetry. Therefore, this equation represents the axis of symmetry for the given parabola.
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Answer:
The cost of buying the four DVDs is $96.
Step-by-step explanation:
Given that,
Price of DVD's = $24 each
The expression is
We need to calculate the cost of buying the four DVDs
Using given data
Price of one DVD= $24
So,
Hence, The cost of buying the four DVDs is $96.
Power is the result of multiplying numbers by itself. The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
Power is the result of multiplying a numbers to itself. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written in the form of an exponent as,
7 x 10 x 10 x 10 x 10
= 7 x 10⁴
Hence, The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
Learn more about Power here:
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