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Setler [38]
3 years ago
11

Evaluate the function fx = 4 * 7^t for x= -1 and x=2

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0
Well what i think you're asking here...I apologie if I'm wrong but what I did was 

f(-1) = 4 * 7^t = 4/7 

and 

f(2) = 4 * 7^t = 196.

Is this what you wanted if not I can...try another way. 
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The solution set of 2-3x/4-8=3x/4​
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Step-by-step explanation:

\\ \tt{:}\leadsto  \frac{2 - 3x}{4 - 8} =  \frac{3x}{4}   \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\  \tt{:}\leadsto 8 - 2x =   - 12x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \\ \tt{:}\leadsto 8 =  - 12x + 2x \\ \\ \tt{:}\leadsto 8 =  - 10x \\ \\ \tt{:}\leadsto x =  \frac{ - 10}{8}  \\ \\ \tt{:}\leadsto x =  \frac{ - 5}{4}

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

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simplify:

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hence,

the minimum value of the function is -155

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