A polynomial P is given.P(x) = x4 − x2 − 2(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)x = (b) Factor P completely.P(x) =

Answer:

1/2 split into 4 parts

Step-by-step explanation:

i cant draw it

Answer:

1 x= 23°

2 x= 148°

3 x= 106°

4 x=17.3°

5 x=25°

6 x=30°

7 x=45°

8 x=48°

9 x=44°

The possible values of b for the given exponential function is found as 5/2.

Exponential growth is the process through which the initial value from the domain grows by an identical percentage across discrete, equal increments.

The exponential function has the following general form: f(x) = abˣ

where an is any nonzero number and b is a positive real number that is not equal to one.

f(x) = abˣ and f(1) = 2.

Equating both

2 = ab¹  ..eq 1

and .

f(2) = 5

5 = ab² ...eq 1

Divide eq 2 by 1

5/2 = ab² / ab

b = 5/2

Thus, the possible values of b for the given exponential function is found as 5/2.

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The complete question is-

graph of function f defined by f(x) = ab exponent x. what are the possible values of b: when f(1) = 2 and f(2) = 5.

Answer:

.07

Step-by-step explanation:

The correct answer is (6x+8)^2.

To factor the expression, we can use the perfect square pattern. The perfect square pattern states that a binomial of the form a^2 + 2ab + b^2 can be factored as (a+b)^2.

In this case, we have a=6x and b=8. So, we can factor the expression as follows:

```

36x^2 + 96x + 64 = (6x)^2 + 2(6x)(8) + (8)^2

= (6x + 8)^2

```

Answer:

-0.2354

Step-by-step explanation:

Change of base formula:

\(log_{b}a = \frac{loga}{logb} \\log_{19}\frac{1}{2} = \frac{log\frac{1}{2} }{log19}\\= -0.2354\)

Answer:

x | y

0 | 0

6 | 2

12 | 4

Step-by-step explanation:

Multiply each x value in the table by 1/3 to get 0, 2, and 4 for your y values.

Answer:

x    y

0    0

6    2

12   4

Step-by-step explanation:

Is means equals

The equation is

y = 1/3 x

Let x = 0

y = 1/3 (0) = 0

Let x = 6

y = 1/3 (6) = 2

Let x = 12

y = 1/3 (12) = 4

Answer:

Im pretty sure X= 5/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x3−3x2+x−2

10

x414)(x3)(0)x2+6x=10

0+6x=10

(6x)+(0)=10(Combine Like Terms)

6x=10

6x=10

Step 2: Divide both sides by 6.

6x

6

=

10

6

x=

5/3

Answer:

Step-by-step explanation:

=√((x2 – x1)² + (y2 – y1)²)

=√((8 – 1)² + (9 – 2)²)

=√((7)² + (7)²)

=√(49 + 49)
=√(2 • 49)

=7√2

Divide the line segment into 7 parts equally:

=(7√2)/7

=1√2

Multiply to 6 and 1 to get 6:1 ratio:

= 6(1√2)

= 6√2

Final Answer: 6√2 and √2.

The variable n represents time in seconds

The variable n represents age

The variable n represents amount of money in dollars.

The variable n represents height in inches.

In each expression:

L. The variable n represents Jerry's time in seconds for the 100-yard dash. Lisa's time is n-5 seconds, indicating that Lisa runs 5 seconds faster than Jerry.

M. The variable n represents Pedro's father's age in years. Pedro's age is n + 3 years old, meaning Pedro is 3 years younger than his father.

N. The variable n represents Lucia's sister's amount of money in dollars. Lucia has n-10 dollars, indicating that Lucia has $10.00 less than her sister.

O. The variable n represents Jack's younger brother's height in inches. Jack is 2 times taller than his younger brother, so Jack's height is 2 times n inches.

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Answer:

supplementary

Step-by-step explanation:

vertices not it bc it's above. and not complementary bc it equal 90 and it's supplement bc line

Answer:  A. 0.2

Step-by-step explanation:

Probability for any event = \(\dfrac{\text{Favorable outcomes for event}}{\text{Total possible outcomes}}\)

Three flavors of juice are offered at a school cafeteria.

The given table:

Orange Grape   Cherry

51             30              69

Total juices = 51+30+69 =150

Now, the probability that a student who bought juice chosen at random purchased the grape flavor= \(\dfrac{\text{Number of grape juices}}{\text{Total juices}}\)

\(=\dfrac{30}{150}=0.2\)

Hence, the correct option is A.

Answer:

0.2

Step-by-step explanation:

Step-by-step explanation:

I just answered this.

the first group is consistent independent, because both equations are lines with different slope. so, they have 1 intersection, which is the solution.

the second group is consistent dependent, because both equations describe the same line.

multiply the second equation by -2, or divide the first equation by -2, and you see they are identical. multiplying an equation by a factor on both sides does not change the equation or function.

so, as both lines are identical, every point on the line is an intersection and solution. therefore, there are infinitely many solutions.

the third group is inconsistent.

they represent 2 lines with identical slope but different y-interceptions. so, they are parallel and have no intersection or solution at all.

just think : there is no pair of numbers x,y, for which their sum can have 2 different results.

Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

Tangent ratio is the ratio between the opposite and the adjacent sides to given angle.

It depends on the given angle to stablish which is the adjacent and which is the opposite side.

For example, for the angle that measures 12°, the opposite side is the one that measures x and the adjacent is the one that measures 6, it means:

For the other angle, the one that measures 78, the opposite side now is the one that measures 6 and the adjacent is the one that measures x, it means:

It means that both Andre and Mai are correct.

Answer:

\(y = -5x -2\)

Step-by-step explanation:

Given:

\(g(x) = x^2 -2x\)

Solving for \(\bold{g(-4)}\):

\(g(-4) = (-4)^2 -2(-4) \\ g(-4) = 16 +8 \\ g(-4) = 24\)

This means that \((-4,g(-4))\) is an equivalent statement of \((-4,24)\).

Solving for \(\bold{g(1)}\):

\(g(1) = (1)^2 -2(1) \\ g(-4) = 1 -2 \\ g(-4) = -1\)

This means that \((1,g(1))\) is an equivalent statement of \((1,-1)\).

Now we have the two points of the line, \((-4,24)\) and \((1,-1)\), we can finally solve for its slope, \(m\). Recall that \(m = \frac{y_2 -y_1}{x_2 -x_1}\\\).

\(m = \frac{-1 -24}{1 -(-4)} \\ m = \frac{-25}{5} \\ m = -5\)

Now that we know our slope, we can then write it as point-slope form and then rewrite it in its slope-intercept form as we are asked. Recall that an equation of a line in its point-slope form is write, \(y -y_1 = m(x -x_1)\), where \(y_1\) and \(x_1\) is \(y\) and \(x\) coordinates of any point of a line respectively.

Writing for the equation of a line in its point-slope form with the point \(\bold{(1,-1)}\):

\(y -(-1) = -5(x -1) \\ y +1 = -5(x -1)\)

Rewriting for the equation of a line in its slope-intercept form:

\(y +1 = -5(x -1) \\ y +1 = -5x -1 \\ y = -5x -2\)

The statement s(x) means that s is a function of x

From the question, we have the following parameters that can be used in our computation:

s(x)

The above is a function notation

Generally, the expression f(x) means that f is a function of x

When f is replaced with s, we have

s is a function of x

Hence, the meaning is that "s is a function of x"

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The length of AC = 3.55.

In the given triangle,

AB = 20 m = c

BC = 31 m = b

AC = a = ?

∠A = 95 degree

We know the cosine rule,

CosA = (b² + c² - a²)/2bc

Therefore,

⇒  Cos95 = (31² + 20² - a²)/(2x31x20)

⇒  -0.087 = (1361 - a²)/1240

⇒ -107.88 = (1361 - a²)

⇒          a² = 12.62

⇒          a  = 3.55

Hence,

AC = 3.55.

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Remember that the volume of a triangular pyramid can be calculated using the formula:

So first, let's calculate the area of the base:

Using this in the formula,

Thereby, the volume of the pyramid is 240 cubic centimiters

Answer:

8. cos(58) = 20/x

x · cos(58) = 20

x = 20/cos(58)

= 37.742

≈ 37.7

9. tan(69) = 324/x

x · tan(69) = 324

x = 324/tan(69)

= 124.372

≈ 124.4

Answer:  \(\bold{\dfrac{b_1}{b_2}=\dfrac{3}{2}}\)

Step-by-step explanation:

Inversely proportional means a x b = k   --> b = k/a

Given that a₁ = 2   --> b₁ = k/2

Given that a₂ = 3   -->  b₂ = k/3

\(\dfrac{b_1}{b_2}=\dfrac{\frac{k}{2}}{\frac{k}{3}}=\large\boxed{\dfrac{3}{2}}\)

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

To determine the maximum or minimum value of a given function, Lagrange multipliers are used.

What is langrange multipliers?

Let's set up everything now. We want to optimize (i.e., find the minimum and maximum value of) a function, f, under the condition that g (x, y, and z) = k. (x, y, and z). Once more, the equation that describes the boundary of a region may or may not be the constraint. Although the process is actually quite simple, there are times when the workload seems quite overwhelming.

Solve the following system of equations.

∇f(x,y,z) = λ

∇g(x,y,z)

g(x,y,z)= k

If there are minimum and maximum values, enter them into f(x,y,z) along with all of the solutions (x,y,z) from the first step.

∇ g ≠ → 0 at the point.

The constant, λ, is called the Lagrange Multiplier.

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From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.

Parallel lines are two lines that are equidistant from one another.

For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.

For question 8, the two angles are alternate exterior angles.

Hence they are equal. Therefore we can write a linear equation in x to solve for x.

21x+6=90

or, 21x=84

or, x=4°

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In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

She should convert it to a fraction and give each person a quarter of a pie.

Step-by-step explanation:

Answer:

x ≈ 4.5

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

Here k = 76 and y = 17 , thus

17 = \(\frac{76}{x}\) ( multiply both sides by x )

17x = 76 ( divide both sides by 17 )

x ≈ 4.5 ( to the nearest tenth )

Answer: \(p=12\)

Step-by-step explanation:

\(6*\frac{2}{4}=p*\frac{1}{4}\)

Solve the multiplication on the left side.

6 and 4 can be simplified.

6/2=3

4/2=2

Leaving it like;

\(3*\frac{2}{2}=p*\frac{1}{4}\)

2 and 2 is 1 and 3 times 1 is 3.

\(3=p*\frac{1}{4}\)

Multiply by 4 to eliminate the fraction and isolate p.

\(4*3=p*\frac{1}{4}*4\\12=p\)