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kondaur [170]
2 years ago
5

Part A

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
4 0

Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C

Step-by-step explanation:

<em>The zeroes of a function are </em><em>the x-coordinates of the point of intersection between the graph of the function and the x-axis</em><em> (x-intercepts) which means </em><em>values of x at y = 0</em>

Part A:

In the given graph

∵ The graph of the function f(x) = -x^{4} - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

∴ There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2

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What is the radius of the circle ? (X-3^2+(y-4)^2=49
vodomira [7]

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: (x-x_1)^2+(y-y_1)^2=r^2 , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

5 0
3 years ago
What is the area of the triangle?<br> 24<br> 10<br> 26<br> units 2 HELP PLEASE
fgiga [73]
A=1/2x Base x Height

= 1/2 (10)(24)

=120
5 0
2 years ago
In the game of​ roulette, a player can place a ​$4 bet on the number 29 and have a 1/38 probability of winning. If the metal bal
creativ13 [48]

Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}

E(x)=\frac{140-148}{38}

E(x)=\frac{-8}{38}=-$0.2105

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

1000×(-$0.2105)=-$210.5

Therefore, the expected loss if played the game 1000 times is -$210.5.

5 0
3 years ago
What is 9*10^-5 in standard notation
kvasek [131]

Answer:

[see answer below]

Step-by-step explanation:

9*10^{-5}

We would move the decimal 5 places to the left.

9*10^{-5}\\\\\rightarrow\boxed{0.00009}

Hope this helps!

3 0
3 years ago
A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.
snow_lady [41]

Answer:

Step-by-step explanation:

5 gallons  is 1/10 of 50 gallons; this is 10% of capacity.

30 gallons    30/50, or 60%

45 gallons     45/50, or 90%

100 gallons                    200%

5 0
2 years ago
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