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Reika [66]
3 years ago
10

If a polynomial function f(x) has roots 0, 4, and 3+ /11, what must also be a root of f(x)?

Mathematics
1 answer:
seropon [69]3 years ago
6 0

Answer:

3 - \sqrt{11}

Step-by-step explanation:

Assuming the root given is 3 + \sqrt{11}

Radical roots occur in conjugate pairs, thus

if 3 + \sqrt{11} is a root , then 3 - \sqrt{11} is also a root

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Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for
vivado [14]

Answer:

The equation to represent the rate of receding water level is                     L = 34 (0.5)^{d}   .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

The rate of receding water level = 0.5 foot per day

Or, The rate of percentage of receding water level = 50 % per day

Let the level of water after d days = L

Now,

The level of water after d days = initial level of water × ( (1-\dfrac{\textrm Rate}{100})^{Time}

I.e L = 34 × ( (1-\dfrac{\textrm 50}{100})^{d}

∴  L = 34 × (0.5)^{d}

Hence The equation to represent the rate of receding water level is                L = 34 (0.5)^{d}   . Answer

5 0
3 years ago
For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in
Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is p'(x)=3x^2-9. In particular, the value we are looking for is p'(2)=3(2^2)-9=12-9=3.

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get y=3(x-2)-10=3x-16

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to p'(2)=3.

4 0
4 years ago
Explanation would be appreciated. i don’t understand
katen-ka-za [31]

Answer:

28\sqrt{3}

Step-by-step explanation:

The area of the big triangle is 1/2 b h =  1/2*6*(12^2 = 6^2 + x^2)

that ends up being \sqrt{108}  = 36\sqrt{3}

the small triangle are needs to be subtracted....

\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)} that is the length of the unknown side...

1/2 B * h of that triangle get you to 8\sqrt{3}

just subtract the two areas

5 0
3 years ago
Read 2 more answers
Can you please help me help me help me help me help help help help me
LekaFEV [45]

Answer:

Step-by-step explanation:

49     |     43    | 92

75     |     38    | 113

124   |     81     |  205

4 0
3 years ago
Can any shape be a quadrilateral as long as it has 4 sides?
Effectus [21]
<h3>Answer: Yes</h3>

Explanation:

This is because

  • quad = 4
  • lateral = sides
5 0
3 years ago
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