2 years ago

Which polynomial is prime

1 answer:

7 0

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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

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2 years ago

A Ferris wheel has a diameter of 50 meters and makes one revolution every 15 minutes

Anni [7]

Answer:

Step-by-step explanation:

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2 years ago

A 6 ounce package of fruit snacks contains 45 pieces how many pieceswould would you expect in a10 ounce package

pochemuha

Answer:

75 pieces

Step-by-step explanation:

1. determine how many pieces per ounce by dividing 45 by 6 (# of pieces in a 6 oz bag)

45/6= 7.5 pieces per ounce

2. multiply 7.5 (for one ounce) by 10

7.5*10 = 75

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2 years ago

A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total

Alex

172 journals 86 workbooks 43 textbooks

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Complete the solution of the equation find the value of y when x equals negative 30. -2x-3y=42

Rama09 [41]

-2 (-30) - 3y = 42
60 - 3y = 42
-3y = -18
y = 6

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2 years ago

Read 2 more answers

Which polynomial is prime​

Which polynomial is prime