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Len [333]
2 years ago
8

Heeelppp please is for today

Mathematics
2 answers:
arsen [322]2 years ago
7 0

Answer:

x = −2 or x = 4.23606797749979 or x = −0.2360679774997898

Step-by-step explanation:

Subtract x^3-2x^2-9x-2 from both sides.

0 − (x3−2x2−9x−2) = x3−2x2−9x−2 − (x3−2x2−9x−2)

−x3+2x2+9x+2=0

Factor left side of equation.

(−x−2)(x2−4x−1)=0

Set factors equal to 0.

−x−2=0 or x2−4x−1=0

butalik [34]2 years ago
4 0
This picture shows how to think and answer.

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Estimating a square root.
Digiron [165]
I'm sorry but I'm not into square roots yet :(
5 0
3 years ago
Read 2 more answers
Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,
DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

y=4x-3

A) If x is increased by 4 units

   New value of  y =  4(x+1)-3

                              =4x+4-3

                              =4x+1

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x+1-4x+3

                          =4

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

   New value of  y =  4(x-5)-3

                              =4x-20-3

                              =4x-23

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x-23-(4x-3)

                          =4x-23-4x+3

                          = -20

Thus, the value of y will be decreased by 20 units.

7 0
3 years ago
Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)
kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for  yp , and then substitute that result,  y′′p , along with equation for  yp  above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side,  sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0
2 years ago
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu
valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

<u><em>Let p = proportion of all living alumni who favored firing the coach</em></u>

SO, Null Hypothesis, H_0 : p = 0.50   {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, H_A : p > 0.50   {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p  = sample proportion of the alumni in the sample who were in favor of firing the coach = \frac{64}{100} = 0.64

            n = sample of alumni = 100

So, <em><u>test statistics</u></em>  =  \frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }

                               =  2.92

<u>Now, P-value of the hypothesis test is given by ;</u>

         P-value = P(Z > 2.92) = 1 - P(Z \leq 2.92)

                                             = 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0
3 years ago
Help pls! Determine the value of angle a
sergey [27]

Answer:

c.

Step-by-step explanation:

AB=√(5²+8²)=√(25+64)=√89

cos A=8/\sqrt{89} =(8\sqrt{89} )/89

7 0
3 years ago
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