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3 years ago

If f(x) = [xl-5, what is f(8.6)?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

3 or 4, depending on the intended meaning of [x]

Step-by-step explanation:

Perhaps you mean ...

$\displaystyle f(x)= \lfloor x\rfloor -5\\\\f(8.6)=\lfloor 8.6\rfloor-5=8-5=3$

On the other hand, perhaps you mean ...

$\displaystyle f(x)=\lceil x\rceil -5\\\\f(8.6)=\lceil 8.6\rceil-5=9-5=4$

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100 POINTS

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

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2 years ago

It takes 1 gallon of paint to cover 18 fence boards. Assuming you can only buy whole gallons of paint at the store, how many gal

ankoles [38]

Answer:

9 gal

Step-by-step explanation:

150/18

8.333333333333334

if we round that to the greater whole gallon we get 9 gallons

5 0

2 years ago

Please help! I get how to do the first part I just don't get how to do the second part.

xz_007 [3.2K]

9514 1404 393

Answer:

WX = 33

(x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

WX = 33

The hash marks also tell you ...

PW = WS

y +4x = 18 . . . . . . substitute the given expressions

and also

QX = XR

2y +x = 22 . . . . . substitute the given expressions

If you solve the first equation for y, you get ...

y = 18 -4x

Substituting that into the second equation gives ...

2(18-4x) +x = 22

36 -7x = 22 . . . . . . . simplify

14 = 7x . . . . . . . . . . . add 7x-22 to both sides

2 = x . . . . . . . . . . . . divide by 7

y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

7 0

2 years ago

If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?

Artyom0805 [142]

Answer:

a different inverse function

Step-by-step explanation:

If $f^{-1}(x)=-\frac{1}{5}x$ then $f^{-1}(x)=\frac{1}{5}x$ is a different inverse function.

The second (inverse) function is the first reflected over the y-axis.

5 0

2 years ago

Read 2 more answers

Let f(x)=ln(3x)+2.5 .

Cerrena [4.2K]

For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
We have then:
f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
f (4) = ln (3 * 4) + 2.5 = 4.98490665
f (5) = ln (3 * 5) + 2.5 = 5.208050201
f (6) = ln (3 * 6) + 2.5 = 5.390371758
f (7) = ln (3 * 7) + 2.5 = 5.544522438
Then the average is:
Average = (4.291759469 + 4.697224577 + 4.98490665 + 5.208050201 + 5.390371758 + 5.544522438) / (6) = 5.019472516
nearest hundredth
5.02
Answer:
the average rate of change of f (x) from 2 to 7 is 5.02

5 0

2 years ago

Read 2 more answers