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3 years ago

Please help 1. f(x)=3(2)^x 2. f(x)=2(3)^x 3. f(x)=3(1/2)^x 4. f(x)=2(1/3)^x

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

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Find the x-intercept and the y-intercept from the following linear equation: 5x + 2y = 20

liraira [26]

Answer: x-intercept is (4,0) and the y-intercept is (0,10)

Step-by-step explanation:

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2 years ago

How can -6.75 + (10.25) be expressed as the sum of its integer and decimal parts

ArbitrLikvidat [17]

Answer:

-6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))

Here, the integer part = ( (-6) + (10))

Decimal part = ( (-0.75) + (0.25))

Step-by-step explanation:

Here, the given expression is: -6.75 + (10.25)

Now, -6.75 = (-6) + (-0.75)

Also, (10.25) = (10) + (0.25)

So, the expression can be written as

-6.75 + (10.25) = (-6) + (-0.75) + (10) + (0.25)

= ( (-6) + (10)) + ( (-0.75) + (0.25))

or, -6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))

Where the integer part is ( (-6) + (10))

and the decimal part is ( (-0.75) + (0.25))

3 0

3 years ago

The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t

tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

What types of numbers are undefined when they are under a radical sign? If you were dealing with the number √-1, would it be def

Misha Larkins [42]

The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1

If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1

If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)

If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)

however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1

If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1

and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)

Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.

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2 years ago

Joan has saved 7 quarters from washing cars how many cents does Joan have?

mash [69]

Answer:

175 cents

Step-by-step explanation:

1 quarter is equal to 25 cents.

Since there are 7 of them,

7 times 25 cents = 175 cents

3 0

2 years ago