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stira [4]
3 years ago
15

If f(x)= 2(3x²-2x+2). Find:A) f(x+1)B) f(3)​C) f(y-2)

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)
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Step-by-step explanation:

According to the question, the chair rises every 4 seconds 14 feet high. Therefore, the relationship between the chair and time is: the chair rises every 4 seconds.

Feel free to copy it I don't mind :)

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Witch of the following is NOT a characteristic of a plane?
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The thickness of a U.S. penny is 5.98 X 10-2 inch.
Aleksandr [31]

Answer: 1.495*10^8\ inches

Step-by-step explanation:

For this exercise you have to remember the Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let be "x" the height in inches of a stack of 2.5*10^9 pennies.

You know that the thickness of 1 pennie is 5.98*10^{-2}\ inches, then, you can write the following proportion:

\frac{5.98*10^{-2}}{1}=\frac{x}{2.5*10^9}

Solve for "x":

(2.5*10^9)(\frac{5.98*10^{-2}}{1})=x\\\\x=14.95*10^7

To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:

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4 0
3 years ago
Find the perimeter of the figure to the nearest hundredth
Ghella [55]

Answer: 33.13 in

Step-by-step explanation:

First, let's start with the perimeter of the semicircles.

Since there are two, it is easier to do because the perimeter of the two halves will add to one full circle; so we can just calculate without having to halve anything.

The formula for the perimeter (aka circumference) of a circle is 2πr

Plug the radius into the equation to get 2π4, or 8π

8π ≈ 25.13

The perimeter of the rectangle is 6(4) = 24.

We now have to subtract the diameters of the circles, as they are not on the outside of the figure and won't be counted in the total perimeter. From the 24, we subtract the two diameters, or 16 in.

24 - 16 = 8

The total perimeter then comes out to be 25.13 + 8, or 33.13 in

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3 years ago
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