which of the binomials below is a factor of this trinomial? -3x^2-21x+24 x-4 x+1 x+4 x-1

The simplified expression for p(z), the profit the company earns, in dollars is: p(z) = -3z² + 18z

The set X is known as the domain of the function, and the set Y is known as the codomain of the function. A function from a set X to a set Y assigns each element of X to exactly one element of Y. Originally, functions were an idealization of how one variable depends on another.

First, let's substitute the expressions for r(z) and c(z) in the expression for p(z):

p(z) = r(z) - c(z)

p(z) = 60z - (3z² + 42z)

p(z) = 60z - 3z² - 42z

p(z) = -3z² + 18z

Therefore, the simplified expression for p(z), the profit the company earns, in dollars is:

p(z) = -3z² + 18z

To know more about Function visit:

brainly.com/question/28193995

#SPJ1

Answer:

y = -7x + 16 and y = -2x - 9

Step-by-step explanation:

Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).

Hope this helps :)

Answer:

2160

Step-by-step explanation:

Distance covered per day =540miles

Number of days travelled = 4 days

Therefore,the mil we s travelled altogether= 540×4= 2160

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

I believe it is a maximum. So sorry if im wrong

Step-by-step explanation:

Slope can be calculated using the formula: m= \(\frac{y2 - y1}{x2 - x1}\)

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = \(\frac{y2 - y1}{x2 - x1}\)

m =\(\frac{4 - (-2)}{(-9)-3}\)

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

The median of the given data is 131, which is the average of the two middle values of the box plot range.

The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.

Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.

To know more about median:

https://brainly.com/question/28060453

#SPJ4

(a) The natural logarithm of the moment generating function (MGF) of 3X at t=0.75 is ln(ϕ_3X(0.75)).

(b) The expectation of 3X is E(3X) = 3E(X).

(c) The natural logarithm of the MGF of 3X+8 at t=0.75 is ln(ϕ_(3X+8)(0.75)).

(a) First, find the MGF of 3X: ϕ_3X(t) = ϕ_X(3t) = (0.21\(e^3^t\) + 1 - 0.21)⁷. Next, evaluate at t=0.75: ϕ_3X(0.75) = (\(0.21e^2^.^2^5\) + 1 - 0.21)⁷. Finally, find the natural logarithm: ln(ϕ_3X(0.75)).

(b) To find the expectation of 3X, first find the expectation of X: E(X) = ϕ'_X(0). Differentiate the MGF of X w.r.t t: ϕ'_X(t) = 7(0.21\(e^t\))(0.21\(e^t\) + 1 - 0.21)⁶. Evaluate at t=0: E(X) = 7(0.21)(1)⁶ = 1.47. Then, E(3X) = 3E(X) = 3 * 1.47 = 4.41.

(c) The MGF of 3X+8 is ϕ_(3X+8)(t) = \(e^8^t\)ϕ_3X(t). Evaluate at t=0.75: ϕ_(3X+8)(0.75) = e⁶ * (\(0.21e^2^.^2^5\) + 1 - 0.21)⁷. Find the natural logarithm: ln(ϕ_(3X+8)(0.75)).

To know more about natural logarithm click on below link:

https://brainly.com/question/30085872#

#SPJ11

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

Answer:

solve

Step-by-step explanation:

plus . minus and divide

Answer:

1- Let x = original price  then

x - .20x = 48

x(1 - .20) = 48

x(.80) = 48

x = 48/.80

x = $60

2-Let "x" be the number of lessons.

240 - 15x = 0

240 = 15x  

x = 16 lessons

3-divide equation by 2:

(2W-4) + W = 32

2W - 4 + W = 32

2W + W = 32 + 4

3W = 36

W = 36/3

W = 12 cm

Find the Length using L = 2W-4:

L = 2(12) - 4

L = 20 cm

Check: 2(20) + 2(12) = 64

4-P stands for the original price. The 90 stands for 90 %. Wendy paid 100-10, or 90 %.

Step-by-step explanation:

Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.

u = initial velocity = 30 :   a = -g = 32 ft/sec^2

s(0) =initial height  =4 ft.

We have the equation

where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration.  Here final velocity is found out as follows

Substitute to get

Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.

----------------------------------

To reach 25 ft, put s = 25

and v must be atleast 0

Then we have  

Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.

The Laplace transform of f2(t) is, L{f2(t)} = 216/(s^3(s^2+36)) - 6s/(s^2+36)^2

To find the Laplace transform of f2(t), we use the definition of the Laplace transform:

L{f(t)} = \(\int_0^{\infty} e^{-st} f(t) dt\)

where L{f(t)} denotes the Laplace transform of f(t), s is a complex number, and u(t) is the unit step function.

Substituting f2(t) into this formula, we get:

L{f2(t)} = \(\int_0^{\infty} e^{-st} (27t^2sin(6t-60)u(t)) dt\)

Using the properties of the Laplace transform, we can simplify this expression. First, we can factor out the constant 27:

L{f2(t)} = \(27 \int_0^{\infty} e^{-st} (t^2sin(6t-60)u(t)) dt\)

Next, we use the identity sin(a-b) = sin(a)cos(b) - cos(a)sin(b) to write the sin function as a sum of exponential functions:

L{f2(t)} = \(27 \int_0^{\infty} e^{-st} (t^2(sin(6t)cos(60) - cos(6t)sin(60))u(t)) dt\)

L{f2(t)} = \(27 \int_0^{\infty} e^{-st} (t^2sin(6t)u(t)cos(60) - t^2cos(6t)u(t)sin(60)) dt\)

We can now apply the Laplace transform to each term separately. Using the formula L{t^n} = n!/s^(n+1), we get:

L{t^2sin(6t)u(t)cos(60)} = (2!/(s^3)) L{sin(6t)u(t)} = 12/(s^3(s^2+36))

L{t^2cos(6t)u(t)sin(60)} = (2!/(s^3)) L{cos(6t)u(t)} = (2s)/(s^2+36)^2

Substituting these expressions back into the original equation, we get:

L{f2(t)} = 27 (12/(s^3(s^2+36))cos(60) - (2s)/(s^2+36)^2sin(60))

Simplifying this expression, we get:

L{f2(t)} = 216/(s^3(s^2+36)) - 6s/(s^2+36)^2

Therefore, the Laplace transform of f2(t) is:

L{f2(t)} = 216/(s^3(s^2+36)) - 6s/(s^2+36)^2

To know more about Laplace transform, here

brainly.com/question/31481915

#SPJ4

Answer:

the answer should be 44 dollar correct me if im wrong

Step-by-step explanation:

Measure of angle M is 76°, angle N is 76° and side LN is 18 in.

According to figure,

LM = 18 in

∠NLM = 28°

In triangle LMN

LN = LM

     = 18 in

Therefore, ∠LMN = ∠LNM = x     (LN = LM)

∠LMN + ∠NLM + ∠LNM = 180°

x + 28 + x = 180

   2x + 28 = 180

           2x = 180 - 28

           2x = 152

             x = 152/2

             x = 76

Hence, ∠M = ∠N = 76°.

To learn more about angle here:

https://brainly.com/question/28451077

#SPJ1

Answer:

i dont even have the first one on my computer

Step-by-step explanation:

The matrix A of T is given by A = [−4 2;1 -5].

Let T be a linear transformation from R² to R², such that T([1 0]) = [-4 1] and T([0 1]) = [2 -5].

We are to find the matrix A of T.

Linear transformations are functions that satisfy two properties.

These properties are additivity and homogeneity.

Additivity means that the sum of T(x + y) is equal to T(x) + T(y), while homogeneity means that T(cx) = cT(x).

Let A be the matrix of T.

Then, [T(x)] = A[x], where [T(x)] and [x] are column vectors.

This means that A[x] = T(x) for any vector x in R².

We can compute the first column of A by applying T to the standard basis vector [1 0] in R².

That is, [T([1 0])] = A[1 0].

Substituting T([1 0]) = [-4 1], we have -4 = a11 and 1 = a21.

We can compute the second column of A by applying T to the standard basis vector [0 1] in R².

That is, [T([0 1])] = A[0 1].

Substituting T([0 1]) = [2 -5], we have 2 = a12 and -5 = a22.

Therefore, the matrix A of T is given by A = [−4 2;1 -5].

Let us know more about linear transformation : https://brainly.com/question/24115917.

#SPJ11

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

Learn more about confidence interval in: https://brainly.com/question/32278466
#SPJ4

Answer:

Step-by-step explanation:

pythagors theorem

a^2+b^2=c^2

15^2+x^2=21^2

225+x^2=441

x^2=441-225

x=\(\sqrt{216\)

x=6\(\sqrt{6\)

=14.69

x=14.7 km

============================================================

Explanation:

Starting at (4, -1) and moving four units up will have us arrive at (4, 3). We add 4 to the y coordinate and keep the x coordinate the same. The algebraic rule is stated as \((x,y) \to (x,y+4)\).

Next, we reflect over the y axis. This will have us flip the sign of the x coordinate while keeping the y coordinate the same. The algebraic rule for this kind of reflection is \((x,y) \to (-x,y)\). The point (4,3) reflects over the y axis to get to (-4,3)

So we started at (4, -1), then moved four units up to get to (4,3) and then reflected over the y axis to get to (-4, 3) which is the final stop.

This is all shown in the diagram below.

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

Learn more about titration at:

brainly.com/question/15170788

#SPJ4

Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

Step-by-step explanation:

perimeter = 2y + 2y + 3 + 3x + 2y + 3 + 2y + 4x + 5

= 8y + 7x + 11

Step-by-step explanation:

2y+3+2y+4x+5+3x

=2y+2y+3x+4x+3+5

=4y+7x+8

Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

To learn more about assignable.

Click here:brainly.com/question/32356049?

#SPJ11

.

Step-by-step explanation:

The correct answer is 78

To find the initial deposit, we can use the formula for compound interest:

A = P *\(e^{(rt)\)

Where:

A = Final amount after t years

P = Initial deposit

r = Annual interest rate (in decimal form)

t = Number of years

e = Euler's number (approximately 2.71828)

In this case, we are given:

A = $11,800

r = 11.8% = 0.118 (in decimal form)

t = 2 years

We need to solve for P, the initial deposit.

Dividing both sides of the equation by \(e^{(rt)}\):

A / \(e^{(rt)}\) = P

Substituting the given values:

P = $11,800 / \(e^{(0.118 * 2)\)

Using a calculator:

P ≈ $11,800 / \(e^{(0.236)}\)

P ≈ $11,800 / 0.7902

P ≈ $14,940.85

Therefore, the amount of the initial deposit was approximately $14,940.85. Option A) $14,940.85 is the correct answer.

learn more about compound interest here:

https://brainly.com/question/22621039

#SPJ11

The correct statements regarding the transformations to the volumes are given as follows:

1. A cone's radius increases x 3: -> The cone's volume will increase x 9.

2. A cone's height increases x 3: -> The cone's volume will increase x 3

3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.

4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.

The equations that give the volumes of each solid are given as follows:

Then the increases are given as follows:

More can be learned about the volume of an sphere at https://brainly.com/question/10171109

#SPJ1

Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

a = 1

Compare the constant terms

a² + b = 2 ( substitute a = 1 )

1² + b = 2

1 + b = 2 ( subtract 1 from both sides )

b = 1

Thus a = 1, b = 1

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The measure of the major arc JLK will be 206°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the minor arc JK will be 154°.

Then the sum of the major arc and minor arc in a circle is 360°.

Then the major arc JLK will be given as,

JLK + JK = 360°

JLK + 154° = 360°

JLK = 206°

The measure of the major arc JLK will be 206°. Then the correct option is B.

Your question was incomplete, but the complete question was attached below.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ4