What expression is equivalent to 18c^8 d^9/9c^3 d^6

1 answer:

7 0

First, since all of the terms are multiplied, you can cancel them out to simplify them:

18/9 = 2

When a term has exponents on the top and bottom of a fraction, you subtract the bottom from the top:

c^8/c^3 = c^5

d^9/d^6 = d^3

So now, we can get rid of the fraction bar and put all of these terms into one expression:

2(c^5)(d^3)

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What are the vertex, axis of symmetry, maximum or minimum value, and range of y = 3x^2 + 6x − 1?

Bess [88]

The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4

another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4

Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4

6 0

3 years ago

2663 rounded to the nearest tenth

Maslowich

Answer:

The final answer would be 2660

Step-by-step explanation:

Since 3 is less than 5, we do not round up. Meaning the nearest tenth is 60

Hope this helps!!<3

4 0

3 years ago

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Select the correct answer from each drop-down menu.

Anit [1.1K]

Answer:

3^x
9, 15, 33, 87, 249
(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

9, 15, 33, 87, 249

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

(x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

8 0

4 years ago

For every 3/4 cup of cereal, it's 80 calories. How many calories would be in one cup of cereal?

Crank

1 cup of cereal is about 307 calories

8 0

3 years ago

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PLEASE HELP I'LL MARK YOU BRAINLIEST IF YOU'RE CORRECT I don't understand this

mario62 [17]

The y-intercept of the function is at y = -3 so the options that don’t include it are off the table. The only possible answer is option C. Option A doesn’t work because plugging in positive values would give negative numbers within the square root which isn’t defined in the real numbers.

8 0

2 years ago

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