Please answer!! Will make brainliest (Photo is the question)

Simplifying the equation:

We are given the bi-quadratic equation:

9x⁴-3x²+1

to factorise this equation, we will convert it to a quadratic equation and factor it from there

in the given equation, let x² = y

now, the equation looks like:

9y² - 3y + 1

Finding the Factors (in terms of y):

Using the quadratic formula: x = -b±√(b²-4ac) / 2a

replacing the variables in the equation

y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)

y= [3 ± √-27]/18

y = (1 ± √-3 / 6)

The 2 solutions are:

y = (1 + √-3 / 6)        and     y = (1 - √-3 / 6)

Finding the values of 'x':

Since y = x²:

x² = (1 + √-3 / 6)        and     x² = (1 - √-3 / 6)

taking the square root of both sides

x = √(1 + √-3 / 6)        and     x = √(1 - √-3 / 6)

As we can see, the given equation has complex roots and cannot be simplified further

Answer:

The number of notebooks

Answer:

The value is  [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 490[/tex]

    The standard deviation is  [tex]\sigma = 100[/tex]

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     [tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

    [tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]

=>  [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

[tex]P(Z< 1 ) = 0.84134[/tex]

and

[tex]P(Z< - 1 ) = 0.15866[/tex]  

   [tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]

=> [tex]P( 390 < X < 590) = 0.6827[/tex]

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]    

=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Answer:

The minimum power output used to accomplish this feat is 408.625 watts.

Step-by-step explanation:

The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:

[tex]\dot W = m\cdot g \cdot \dot y[/tex] (Eq. 1)

Where:

[tex]m[/tex] - Mass of the athlete, measured in kilograms.

[tex]g[/tex] - Gravitational constant, measured in meters per square second.

[tex]\dot y[/tex] - Climbing rate, measured in meters per second.

[tex]\dot W[/tex]- Power, measured in watts.

By the consideration of constant velocity, we get that the climbing rate is represented by:

[tex]\dot y = \frac{s}{t}[/tex] (Eq. 2)

Where:

[tex]s[/tex] - Travelled distance, measured in meters.

[tex]t[/tex] - Time, measured in seconds.

And by substituting on (Eq. 1), the following expression is found:

[tex]\dot W = \frac{m\cdot g\cdot s}{t}[/tex]

If we know that [tex]m = 75\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]s = 5\,m[/tex] and [tex]t = 9\,s[/tex], then the minimum power output is:

[tex]\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}[/tex]

[tex]\dot W = 408.625\,W[/tex]

The minimum power output used to accomplish this feat is 408.625 watts.

Answer:

1/3 is the slope but it does not show the graph so I can't give you the answer

Answer:

26.4

Step-by-step explanation:

95-14.4-27.8=52.8

52.8/2=26.4

Hope I helped!

Please mark Brainliest!!!

Answer:

(4,-3)

Step-by-step explanation:

Your answer is 12/-6

If you need your answer simplified, it's -2

If you have any questions, problems, or corrections, let me know

Answer:

I believe the answer is -2

Step-by-step explanation:

[tex]\frac{|-12|}{-|6|}[/tex] will now be written as [tex]\frac{12}{-6}[/tex]

12 divided by -6 equals -2

hope this helps

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

Answer:

1 out of 25 letters question

Answer:

the answer is 50

Step-by-step explanation:

150 / 3 = 50

Answer:

50

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

319,459 is not an even number

Answer:

(a)  0.2033

(b)  0.0188

(c)  0.0004

(d)  0.095

Step-by-step explanation:

(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 -  100)/12 = 0.83

So P (X > 110) = P (Z > 0.83) = 0.2033

(b) Probability that a sample of 25 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08

P (X> 105) = P (Z > 2.08) = 0.0188

(c) Probability that a sample of 64 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33

P (X> 105) = P (Z > 3.33) = 0.0004

(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:

(105-100) / 3 = 1.67

and for X= 95 ==> Z = (95 - 100)/3 = - 1.67

P (X > 105) = P (Z > 1.67) = 0.0475

P (X < 95) = P (Z < -1.67) = 0.0475

which add up to: 0.095.

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 110, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 100}{12}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a p-value of 0.7967.

1 - 0.7967 = 0.2033

0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

Item b:

Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].

This probability is 1 subtracted by the p-value of Z when X = 105, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{2.4}[/tex]

[tex]Z = 2.08[/tex]

[tex]Z = 2.08[/tex] has a p-value of 0.9812.

1 - 0.9812 = 0.0188

0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

Item c:

Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{1.5}[/tex]

[tex]Z = 3.33[/tex]

[tex]Z = 3.33[/tex] has a p-value of 0.9996.

1 - 0.9996 = 0.0004

0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

Item d:

Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].

Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

2 x 0.0475 = 0.095

0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

A similar problem is given at https://brainly.com/question/24663213

Answer: 67

Step-by-step explanation: 128+64+32+16+8+4+2+1

                                                =0 + 1 + 1  + 0 + 0+1+1+1

                                                  =67

Answer:

Step-by-step explanation:

Let income=X

Given he spend 1/5of his income on food.=X/5

He spend 1/3 of his income on car=X/3

Left with=286

So

x-(X/5+X/3)=286

x-8x/15=286

7x/15=286

X=286×15/7

X=612.85

His income is 612.85.

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

Answer:

-9,-4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

m =  21 = 2

b = 1 (value of y when x=0)

So: y = 2x + 1

With that equation you can now ...

... choose any value for x and find the matching value for y

For example, when x is 1:

y = 2×1 + 1 = 3

Check for yourself that x=1 and y=3 is actually on the line.

Or we could choose another value for x, such as 7:

y = 2×7 + 1 = 15

And so when x=7 you will have y=15

Positive or Negative Slope?

Going from left-to-right, the cyclist has to Push on a Positive Slope:

negative slope   zero slope   positive slope

Example 2

y=-3x graph

m =  −31 = −3

b = 0

This gives us y = −3x + 0

We do not need the zero!

So: y = −3x

Example 3: Vertical Line

graph x=2

What is the equation for a vertical line?

The slope is undefined ... and where does it cross the Y-Axis?

In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=...".

Like this:

x = 1.5

Every point on the line has x coordinate 1.5,

that is why its equation is x = 1.5

Rise and Run

rise and run

Sometimes the words "rise" and "run" are used.

Rise is how far up

Run is how far along

And so the slope "m" is:

m =  riserun

You might find that easier to remember.

Animation    

Now Play With The Graph !

You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph

Step-by-step explanation:

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

Answer:

Whats a kayak?

Step-by-step explanation:

Answer:

-8xy^7

Step-by-step explanation:

Answer:

cold and hot Is the answer

Answer:

y = -2x + 7

Step-by-step explanation:

y = -2x + 4

Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.

y-intercept through point (3, 1):

y = mx + b

1 = -2(3) + b

1 = -6 + b

b = 7

Equation of line that is parallel to original:

y = mx + b

y = -2x + 7

Answer:

add 54+6 =60 then add 10 =70 first add the one in brackets then add the other one

Answer:

( − 6 , 0 ) , ( 3 , 0 )

Step-by-step explanation:

f(x)=(x+6)(x-3)