11.) What is the algebraic representation for a translation of 8 units right and 4 units down?

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

f(x) = log (x-5)

Step-by-step explanation:

__________

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

A relation is a function if it has only One y-value for each x-value.

we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.

There are three types of asymptotes: vertical, horizontal and oblique.

The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

Hence, f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

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The scale factor the company needs to use for the family-size box is 1.56.

What is a scale factor?

A scale factor states that the number of all the components of an object is multiplied which is used to create a proportional enlargement or reduction.

According to the question

A food company has designed boxes for several products. Each box is in a rectangular prism.

The family-size box is a dilation of the single-serving 1.2-ounce box.

which contains 18.75 ounces of cereal.

For finding the scale factor we have to divide 18.75 by 12 and we get

= 18.75/12

= 1.56

So, the scale factor of a company that needs to use the family-size box is 1.56.

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Answer:

x=3

Step-by-step explanation:

f(x)=2x+6

f(x)=12

Hence:

2x+6=12

2x+6-6=12-6

2x=6

x=6/2

x=3

Cathy takes out a $167,000 mortgage. She plans monthly payments to pay it off in 40 years. At the end of the term, Cathy will have paid $401,294.40 total. The appropriate APR formula is APR=2(12)(401,294.4) / 167,000(480+1)

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment. This does not account for compounding and includes any fees or additional expenditures related to the transaction. Consumers can evaluate lenders, credit cards, or investment goods using the APR as a benchmark figure.

Given,

Mortgage = $167000

Monthly plan = 40 years

End of the term, Cathy will have paid $401,294.40 total.

APR=2nf/P(N+1)

APR=2(12)(401,294.4) / 167,000(480+1)

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Answer:

17.01, 13.21

Step-by-step explanation:

j = Japan, s = Switzerland

Make the 2 equations

3j + 2s = 77.45     2j + 3s = 73.65

Multiply the first equation by 2 and the second by 3 so the x values are the same

6j + 4s = 154.90    6j + 9s = 220.95

Now subtract the 2 equations:

  6j + 9s = 220.95

-  6j + 4s = 154.90

5s = 66.05

s = 13.21   Price of tickets in Switzerland

Now replace s with 13.21 into one of the equations

3j + 2(13.21) = 77.45

3j + 26.42 = 77.45

3j = 51.03

j = 17.01 Price of tickets in Japan

Answer:

3:18

Step-by-step explanation:

From 3:12 PM to 5:12 PM it's 3 hours.

From 5:12 PM to 5:30 PM it's 18 minutes.

Total elapsed time: 3:18

I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.

The equivalent quadratic equation to  (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,

Then we can construct the equation by the factors (x - α)(x - β).

Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.

Now, Multiply the terms we have,

x² + 9x - 2x - 18 = 0.

x² + 7x - 18 = 0.

So, Our required quadratic equation is x² + 7x - 18 = 0.

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Answer:

Sure. Here are the steps on how to construct a confidence interval at a 95% confidence level for the mean amount spent on a child's last birthday gift:

Identify the sample size, n. In this case, n=13.

Identify the sample mean,  

x

ˉ

. In this case, $\bar{x} = $36.

Identify the sample standard deviation, s. In this case, $s = $15.

Identify the t-critical value, t. The t-critical value is the value that cuts off 2.5% of the distribution in each tail, leaving 95% of the distribution in the middle. To find the t-critical value, we need to know the degrees of freedom, df. The degrees of freedom are calculated as df=n−1. In this case, df=13−1=12.

We can find the t-critical value using a t-distribution table. The t-distribution table shows the t-critical values for different degrees of freedom and different confidence levels. For a 95% confidence level and 12 degrees of freedom, the t-critical value is 2.179.

Calculate the confidence interval. The confidence interval is calculated as follows:

$\bar{x} \pm t \cdot \frac{s}{\sqrt{n}}$

In this case, the confidence interval is:

$36 \pm 2.179 \cdot \frac{15}{\sqrt{13}} = (27.28, 44.72)$

Therefore, a 95% confidence interval for the mean amount spent on a child's last birthday gift is $27.28 to $44.72.

Step-by-step explanation:

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer:

n = 2

Step-by-step explanation:

Given

\(\frac{1}{2}\)(n - 4) - 3 = 3 - (2n + 3)

Multiply through by 2 to clear the fraction

n - 4 - 6 = 6 - 2(2n + 3) ← distribute

n - 10 = 6 - 4n - 6 ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Answer:

240

Step-by-step explanation:

if she travels 1 mile per minute than she traveled 240. ! hour is 60 minutes so you would multiply 60 and 4 which gives you 240.

Answer: If you need a variable the answer is 4x

Step-by-step explanation:

Let x = the speed Shondra is going in mph.

4x= The miles Shondra drove

Answer:

A

Step-by-step explanation:

The higher the negative number is the farther left it will be.

Answer:

only answering for the other person to get brainliest

Step-by-step explanation:

\(Median = \: ( \frac{n + 1}{2} ) \\ = \frac{5 + 1}{2} \\ = \frac{6}{2} \\ = 3th \: term\)

3th term is 14 which is median

Answer:

2n^2 - 5n +11

The marginal profit if you sell 150 pieces of pie is $1.20 per piece.E. The marginal profit if you sell 150 pieces of pie is the additional profit made by selling one more unit of a good.

Given,The cost to make x servings of apple pie is C(x) = 300+ 0.1x +0.003x².

The price to sell one piece of pie is $4.00.So, the revenue function, R(x) can be written asR(x) = price per unit × number of units soldR(x) = 4x.

The profit function, P(x) is given by the difference between the revenue function and cost function i.e.,P(x) = R(x) - C(x)

Substituting R(x) = 4x and C(x) = 300 + 0.1x + 0.003x² in P(x), we haveP(x) = 4x - (300 + 0.1x + 0.003x²)

P(x) = 4x - 300 - 0.1x - 0.003x²

P(x) = - 0.003x² + 3.9x - 300.

The marginal profit function is given by P'(x) = R'(x) - C'(x).Let's find R'(x) and C'(x).Differentiating R(x) = 4x with respect to x, we getR'(x) = 4Differentiating C(x) = 300 + 0.1x + 0.003x² with respect to x, we getC'(x) = 0.1 + 0.006x.

Substituting R'(x) = 4 and C'(x) = 0.1 + 0.006x in P'(x), we getP'(x) = 4 - (0.1 + 0.006x)P'(x) = 3.9 - 0.006x.

Now, let's find the marginal profit if we sell 150 pieces of pie.

Substituting x = 150 in P'(x), we getP'(150) = 3.9 - 0.006 × 150P'(150) = $1.20 per piece.

The marginal profit if we sell 150 pieces of pie is $1.20 per piece.

The marginal profit is the additional profit made by selling one more unit of a good.So, if we sell one more piece of pie, the profit will increase by $1.20.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

A is 15, B is 75, and C is 30

Step-by-step explanation:

Answer:

a.

graph this on desmos

y=15x

you learn 15 new vocab words per week

b.

75 words in 5 weeks

c.

30 more words

Step-by-step explanation:

The Simplified polynomial expression in the standard form which represents the area of the given rectangle  is,

\(2x^2+6x-8\)

The area of rectangle is the product of its length and width. It can be given as,

\(A=a\times b\)

Here, (a) is the length of the rectangle and (b) is the width of the rectangle.

Given information-

One side of the rectangle is labeled as 2x-2.

Another side of the rectangle is labeled as x+4.

The image of the rectangle is attached below.

Let (l) is the length of the rectangle and (w) is the width of the rectangle.

In the below image, the length of the rectangle is,

\(l=4x+2\)

The width of the rectangle is,

\(w=2x-2\)

The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,

\(A=l\times w\\\)

Put the values in the above expression as,

\(A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8\)

Thus the area of rectangle in simplified polynomial expression in the standard form is,

\(2x^2+6x-8\)

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Answer:

y = negative 2 (x minus one-half)

Step-by-step explanation:

The equation of a line is given as:

y = mx + c, where m is the slope and c is the intercept on the y axis.

The equation of a line going through (0, 1) and (1, - 1) is calculated using:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1\)

The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.

Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution

Answer:

b

Step-by-step explanation:

i did test

Answer:

32

Step-by-step explanation:

In ΔLMK

short leg /long leg = 18/24

In ΔLMJ

short leg /long leg = 24/JK

Now we make them equal

(18/24) = (24/JK), cross multiply

  18·JK = 24², divide both sides by 18

      JK = 24²/18

     JK = 32

Answer:

Step-by-step explanation:

y(6+8)

1+9x9b=a64

99-9

So an equivalent answer would be y(6+8).

Answer:

6y+7y is also the same

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

Opposite

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

Answer:66

Step-by-step explanation:

Answer:

66 Degrees

Step-by-step explanation:

The total number of degrees in a quadrilateral is 360.

360-(118+106+70)=66

Answer:

Step-by-step explanation:

Find the value of s on one side of the equation to isolate it.

1.1=s+2.3/3

First, switch sides.

\(\sf{\dfrac{s+2.3}{3}=1.1}\)

Multiply by 3 from both sides.

\(\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}\)

Solve.

1.1*3=3.3

s+2.3=3.3

Then, subtract by 2.3 from both sides.

s+2.3-2.3=3.3-2.3

Solve.

Subtract.

3.3-2.3=1.0=1

s=1

Therefore, the final answer is s=1.

I hope this helps, let me know if you have any questions.

Answer:

D

Step-by-step explanation:

|6y-3|+8=35

|6y-3|=35-8

|6y-3|=27

[|x-a|=b⇒x-a=± b]

6y-3=±27

1. case 1

6y-3=27

6y=27+3

6y=30

y=30/6=5

case 2.

6y-3=-27

6y=-27+3

6y=-24

y=-24/6=-4

so D

6m≤36

m≤36/6

or m≤6

and m+24≥20

m≥20-24

m≥-4

no solution as m≤-6 and m≥-4

Answer:

2(x4 − 25) = 0

Step-by-step explanation: