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4 years ago

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

1 answer:

4 0

I'm assuming that there is another root which should be -SQRT(11)
f(x) = x(x-4)(x+SQRT(11))(x-SQRT(11)
Then
f(x) = x^4 -4x^3 - 11x^2 +44x

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What is the Y intercept of the graph of the following linear equation 3X -3 equals Y! BRAIIEST

mote1985 [20]

Answer:

Step-by-step explanation:

The equation y=Mx + b, where b is the y intercept

4 0

3 years ago

Read 2 more answers

The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bi

Margaret [11]

Answer:

The answer is below

Step-by-step explanation:

a) Cost of hiring the bicycle for 14 days is:

Cost = 65 * 14 days + 44 = 954 riyals

b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:

Cost of bicycle = 65 * x + 14 = 65x + 44

Cost of helmet = 12.5 * x = 12.5x

Total cost = 65x + 44 + 12.5x = 77.5x + 44

Since 750 riyals is available, hence:

750 = 77.5x + 44

77.5x = 706

x = 9.11

Therefore the maximum number of days is 11. The total cost for 11 days is:

Total cost = 77.5(9) + 44 = 741.5 riyals

Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals

6 0

3 years ago

Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview

Karolina [17]

Answer:

$y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}$

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

$(5D^{2}+3D-2)y(t)=0$

Solving for complementary function we have Roots of $(5D^{2}+3D-2)$ as follows

$(5D^{2}+5D-2D-2)$

$5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5$

Thus the complementary function becomes

y= $y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}$

where

$m_{1},m_{2}$ are calculated roots

thus solution becomes

$y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}$

Now to solve for the coefficients we use the given boundary conditions

$y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}$

hence the solution becomes

$y=-2e^-{t}+2e^{\frac{2}{5}t}$

8 0

3 years ago

14. Which expression is equivalent to 2x2 - 6xy + 4xy - y2?

sergey [27]

Answer: " [C]: " 2x² − 2xy − y² " .

__________________________

Step-by-step explanation:

__________________________

Given the expression:

_____________________________________

" 2x² − 6xy + 4xy − y² " ;

We can combine the "like terms" :

__________________________

- 6xy + 4xy = - 2xy ;

and rewrite the expression:

__________________________

" 2x² − 2xy − y² " ; which corresponds to:

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Answer choice: [C]: " 2x² − 2xy − y² " .

__________________________

Hope this is helpful to you!

Best wishes in your academic pursuits—

and within the "Brainly" community!

__________________________

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3 years ago

A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is staying in a cabin that is 4 mil

Goshia [24]

Answer:

5.54 miles

Step-by-step explanation:

1. Assume she runs up to a point that is x miles to the east of the coral reef:

distance running =

distance swimming =

2. Times:

time= distance / speed

time running =

time swimming =

3. Total time

time running + time swimming:

4. Minimize time

The minimum time is when the derivative of the function of time is zero.

Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:

Solve for x:

5. Distance the visitor should run to minimize the time

Hence, the visitor should run 5.54 miles.

please mark me brainliest!

7 0

3 years ago