3 years ago

What are the rules of indices?

1 answer:

4 0

Multiplication:
If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

Division:
If the two terms have the same base (in this case x) and are to be divided their indices are subtracted

Brackets:
If a term with a power is itself raised to a power then the powers are multiplied together.

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For each quadratic function, find the domain range vertex and axis of symmetry y=(x-1) squared +1

Arada [10]

$y=(x-1)^2 +1 \\ \\ For \ the \ quadratic \ function \\ \\ f(x) =a(x-h)^2+k \\ \\ where \ a, \ h \ and \ k \ are \ real \ numbers \ with \ a \neq 0 , \\ \\ the \ vertex \ is \ (h,k) =(1,1) \\ \\ a \ symmetry \ about \ the \ vertical \ line \ x = h \\ \\ x= 1$

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3 years ago

The perimeter of a rectangular swimming pool is 160 feet . The length of the swimming pool is four times its width. Find the dim

Murrr4er [49]

Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
So we can plug in '4W' for 'L' in the first equation.
160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.

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3 years ago

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Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters

fiasKO [112]

5,677.5. Hope this helps!

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4 years ago

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A taxi service charges an inital fee of $3 plus $1.80 per mile.how far can you travel on $12

Ilia_Sergeevich [38]

1.80x + 3 = 12

isolate the x

1.80x + 3 (-3) = 12 (-3)

1.80x = 9

1.80x/1.80 = 9/1.80

x = 9/1.80

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4 years ago

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Aliun [14]

Answer:

V = 8 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here s = 2 , then

V = 2³ = 8 cm³