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gregori [183]
3 years ago
14

Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

Step-by-step explanation:

If the degree of the polynomial is even (positive) ends of the function will either upwards or downwards on axis.

If the coefficient of the leading term of a polynomial is negative, both the ends of the graph will move downwards.

The given function is,

f(x) = -x⁴ + 9

Degree of the polynomial = 4

Coefficient of the leading term = -1

Therefore, ends of the polynomial will open downwards.

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What is 2/3, 7/6, 3 1/9, and 5 5/18 written as a decimal?
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Step-by-step explanation:

\frac{2}{3}  = 2  \times  \frac{1}{3}  = 2 \times 0.333 = 0.666 \\  \\  \frac{7}{6}  = 7 \times  \frac{1}{6}  = 7 \times  \frac{1}{2}  \times  \frac{1}{3}  = 7 \times 0.5 \times 0.333 = 1.1655 \\  \\ 3 \frac{1}{9}  = 3 +  \frac{1}{9}  = 3  + ( \frac{1}{3}  \times   \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\  \\ 5 \frac{5}{18}  = 5 + (5 \times  \frac{1}{18} ) = 5 + (5 \times   \frac{1}{3}  \times  \frac{1}{3}  \times  \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722

4 0
3 years ago
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If the diameter of the circle is 24 cm, find its area correct to one decimal place.
Radda [10]

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

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A=pi times 144

A=452.389342

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I need help with question number three can someone help me please I need to get this right
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Answer:

False

Step-by-step explanation:

The included side in ASA is inside between the angles being used

4 0
4 years ago
What is the probability of spinning the spinner below once and having it land on blue or an even number?
spayn [35]
A. 3/16 would be the answer


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A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE R
erma4kov [3.2K]

Answer:

A. \frac{17}{52}

B. \frac{17}{52}

C. \frac{2}{13}

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  \frac{17}{52} chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : \frac{17}{52}

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is \frac{8}{52} which simplifies to =\frac{2}{13}

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