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Burka [1]
1 year ago
5

Given the function f(x) = −5x2 − x + 20, find f(3).

Mathematics
2 answers:
Lera25 [3.4K]1 year ago
4 0

Answer: -28

given the function f(x) =-5x2 - x +20

find f(3)

lana66690 [7]1 year ago
3 0


f(x) = -5x^2 - x + 20;

f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;

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A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an
Nina [5.8K]

Answer:

The answer is explained below

Step-by-step explanation:

STEP 1

Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.

STEP 2

Manager can define the performance of a product using defects per million units DPMO metric

DPMO can be find by using

DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000

          = 1500 - 1477/ 1 x 1500* 1,000,000

          = 23/1500

          = 15,333,33

The defect rate of the process can be find by

Defect rate = No. of defects/ No. of units * 100

                   = 1500 - 1477/1500 * 100

                   = 23/1500 * 100

                   = 1.53%

Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.

8 0
1 year ago
Read 2 more answers
Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.
N76 [4]
The solution is <span>B. π/12+nπ

</span>proof 
sinx cosx = 1/4 is equivalent to  2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ,  so x = π/12+nπ
8 0
2 years ago
Read 2 more answers
Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum
Korolek [52]

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.

Lets assume  x points she earn per library

She earns 4 more points  for museum than  library.

4 more points per museum per x .  so the points earned per museum is x+4

she earned 179 points from 11 museums and 4 libraries.

So the equation becomes

11 (x+4) + 4x = 179

11x +44 + 4x = 179

15x + 44 = 179 ( subtract 44 from both sides)

15x= 135 (divide by 15 from both sides)

x = 9

She earns 9 points per library

We know points per museum = x+4 = 9+4 = 13

She earns 13 points per museum .

5 0
1 year ago
The average sea level in 1900 at London bridge was 33 feet. In 1990 it was 33.08 feet. Use linear interpolation or extrapolation
eduard

Answer:

In 1956, the height will be 33.05 ft

Step-by-step explanation:

Let +x+ = number of years after 1900

Calll 1900 +x+=+0+

Then 1990 is +x+=+90+

Let +y+ = height in feet

--------------------------

You are gven the points

( 0, 33 )

( 90, 33.08 )

Use general point-slope formula

+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+

Multiply both sides by +90x+

+90%2A%28+y+-+33+%29+=+.08x+

+90y+-+2970+=+.08x+

+90y+=+.08x+%2B+2970+

+y+=+.000889x+%2B+33+ ( equation to use )

--------------------------

Check:

does it go through ( 90, 33.08 ) ?

+33.08+=+.000889%2A90+%2B+33+

+33.08+=+.08001+%2B+33+

+33.08+=+33.08001+

close enough

-------------------------------

(a)

+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+

+y+=+.000889%2A61+%2B+33+

+y+=+.0542+%2B+33+

+y+=+33.0542+

In 1961, the height will be 33.05 ft

8 0
2 years ago
Tonyas dog walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. beth does not charge
andreev551 [17]

Answer:

Step-by-step explanation:

given that tonya charges 20$ monthly fee and 3$ per mile of her dog-walking service.

and beth does not charge any monthly fee but charges 5$ per mile of the dog walked in.

let x be the number of miles dog has walked in a month.

the amount tonya will charge on x miles = fixed monthly fee + number of miles * charge per mile = 20+3x

and the amount beth will charge on x miles = 0+ 5*x = 5x.

we are asked to find the x-value for which beth chargeable amount = tonya chargeable amount

that is 5x = 20+3x

5x-2x = 20

2x=20

x=\frac{20}{2}   = 10

hence number of miles for which tonya and beth will charge the same amount is 10.

7 0
1 year ago
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