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3 years ago

Let f(x)= -5x+6. Find and simplify f(3n−5). f(3n-5)= ?

1 answer:

5 0

We know that our function is $f(x)=-5x+6$ ; the only thing we need to find $f(3n-5)$ is replace $x$ with $(3n-5)$ in our original function:
$f(x)=-5x+6$
$f(3n-5)=-5(3n-5)+6$

Now, lets simplify our function:
$f(3n-5)=-15n+25+6$
$f(3n-5)=-15n+31$

After simplify our function, we can conclude that $f(3n-5)=-15n+31$

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The slope of a line is -1/5 and the y intercept is 5. What is the equation of the line written in slope-intersept form?

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Y = -1/5 + 5 is the equation

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3 years ago

Read 2 more answers

Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?

DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= $x + (x-6) = 2x-6$

The total score is given to be 156.

Thus, the equation becomes,

$2x-6 = 156$

$2x= 162$

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<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

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3 years ago

Item 10 A bacterial culture quadruples in size every hour. You begin observing the number of bacteria 3 hours after the culture

Vinvika [58]

Answer:

There will be 200 000 bacteria after 8 hours

Step-by-step explanation:

The crop quadruples every hour.

x represents the number of hours that pass after preparing the crop

y represents the number of bacteria after x hours.

The equation for y in function of x 3 hours after observing the crop is:

$y = 192(4^{x - 3})$

We want to know after how long there will be 200 000 bacteria.

Then we make y = 200 000 and clear x.

$200\ 000 = 192(4^{x - 3})\\\\log(200\ 000) = log(192(4^{x-3}))\\\\log(200\ 000) = log(192) + log(4 ^{x-3})\\\\log(200\ 000) - log(192) = (x-3)log(4)\\\\\frac{log(200\ 000) - log(192)}{log(4)} = (x-3)\\\\x = 3 + \frac{log(200\ 000) - log(192)}{log(4)}\\\\x = 8\ hours$

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3 years ago

What is 1/3 equal to

Grace [21]

Answer:

0.3

33.3%

Step-by-step explanation:

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3 years ago

Most people know that social security and medicare taxes are deducted from their paychecks. As a new restaurant owner, you learn

vredina [299]

Answer:

The yearly payroll will cost the employer $538,250.

Step-by-step explanation:

a) Data and Calculations:

Budgeted payroll = $500,000

Social security tax rate = 6.25%

Medicare tax rate = 1.4%

Social security tax = $31,250 ($500,000 * 6.25%)

Medicare tax amount= $7,000 ($500,000 * 1.4%)

Total taxes amount = $38,250

The total yearly payroll cost should be put at $538,250 ($500,000 + 38,250). This means that as the employees pay taxes amounting to $38,20, the employer will also pay matching taxes amounting to $38,250.

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3 years ago

Let ​f(x)= -5x+6. Find and simplify ​f(3n−5​). f(3n-5)= ?

Let f(x)= -5x+6. Find and simplify f(3n−5). f(3n-5)= ?