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just olya [345]
3 years ago
13

HELP FAST PLS!! Drag each function to correct location on the image. Identify exponential functions.

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Answer:

Exponential functions: f(x)=8e^x,f(x)=e^{-3x} and f(x)=20^{\frac{x}{3}}

Non-exponential functions: f(x)=5x^{\frac{3}{7}}, f(x)=4x^3-6x and f(x)=\sqrt{x}+3x

Step-by-step explanation:

The general form of an exponential function is

f(x)=ab^x

where, a is initial value and b is growth factor.

It means the variable term i.e., x must be the exponent . In other words we can say that the variable term must be in the power of constant terms.

We need to check whether the given function is an exponential function or not.

The given function is

f(x)=8e^x

It is an exponential function with initial value 8 and growth factor e≈2.718.

Similarly,

f(x)=e^{-3x} and f(x)=20^{\frac{x}{3}} are exponential functions.

f(x)=5x^{\frac{3}{7}}, f(x)=4x^3-6x and f(x)=\sqrt{x}+3x are non-exponential functions.

slega [8]3 years ago
5 0

Answer:

See the attached

Step-by-step explanation:

An exponential function has the variable in the exponent.

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Answer:

x≤ -3/8

Step-by-step explanation:

4x\le \:-\frac{2}{5}\left(6x+6\right)\\

Expand ;

\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}

4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x

Simplify

\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}

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3 years ago
Which whole numbers fall betweeen .53 and 2.5
Aloiza [94]

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A cyclist travels 4 miles in 15 minutes and then a further 6 miles in 25 minutes without stopping.
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7 0
3 years ago
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What is the approximate value of x in the diagram below
irga5000 [103]

We use Tan in this case:

Tan=(opposite/adjacent)

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Hope it helps!

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I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
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Answer:

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Step-by-step explanation:

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  • Then 9 divided by 18 can be simplified into the fraction 1/2
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3 years ago
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