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Mathematics 19 Online
OpenStudy (anonymous):

Can I Get Some Help? :)

OpenStudy (anonymous):

http://prntscr.com/9r9qye

OpenStudy (anonymous):

@phi

OpenStudy (priyar):

did u plug in the values and check?

OpenStudy (priyar):

first.. plug in the values of the first values in the table in the first choice..

OpenStudy (phi):

I would use the idea that any number to the zero power is 1 in other words, \( 2^0=1\) and \( (\frac{1}{2})^0=1 \) and so on... I would replace x with 0 in each of the choices, and try to simplify can you do that ?

OpenStudy (anonymous):

options a and b dont work. im trying c and d now

OpenStudy (phi):

can you show what you did for the first choice?

OpenStudy (phi):

the first choice is \[ 3(2)^x \] that means 3 times 2 to the x power. replace x with 0 so that it looks like this: \[ 3 \cdot 2^0\] what is 2^0 ?

OpenStudy (priyar):

ya..why won't a work @Axbeauty ?

OpenStudy (phi):

remember order of operations: first do exponents (before multiplying)

OpenStudy (anonymous):

oh.

OpenStudy (anonymous):

would option A be my answer?

OpenStudy (phi):

if we put in 0 for x, (and remember to do the exponent part first) the choices simplify to 3*1 2*1 3*1 2*1 or simply 3 2 3 2 the table shows for x=0 we want 3 so that means only choice a or c are possible

OpenStudy (phi):

so you want to look at choice a and choice c try x=1 in choice a can you simplify \[ 3 (2)^1 \] ?

OpenStudy (anonymous):

=6

OpenStudy (phi):

yes, you get 3 * 2 which is 6 what does the table say we want for x=1 ?

OpenStudy (anonymous):

3/2?

OpenStudy (phi):

yes. and 6 is not 3/2 so that means choice a is not correct. by process of elimination , choice c is the answer. but we can double check.

OpenStudy (phi):

choice c with x=1 is \[ 3 \left( \frac{1}{2}\right)^1 \]

OpenStudy (phi):

first do the exponent part first: (½)^1 is just ½ so you have 3 * ½ if you multiply 3 *½ you get 3/2

OpenStudy (anonymous):

Thank You :)

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