How to work the problems and explain step by step by showing the work

Answers

Answer 1

Answer: well, you're asked to simply grab the second version of that amount, or balance, and provide a common factored version of it, is all

so $\bf A_2=(P+Pr)+(P+Pr)r\n\n\textit{now, let's take common factor}\n\nA_2=\underline{(P+Pr)}+\underline{(P+Pr)} r\impliedby \textit{see the common factor?}\n\nA_2=\underline{(P+Pr)}(1+r)$

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Use cubic regression to find afunction that fits the following
points.
(1,-1), (2,-13), (3,-45),(-1,11)
y = [?]x3+[ ]x2+0 ]x+[ ]

Answers

The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3

How to determine the function?

The points are given as:

(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)

A cubic regression function is represented as:

y = ax³ + bx² + cx + d

Next, we determine the cubic function using a graphing calculator.

From the graphing calculator, we have the following coefficients:

a = -2
b = 2
c = -4
d = 3

Recall that:

y = ax³ + bx² + cx + d

So, we have:

y = -2x³ + 2x² - 4x + 3

Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3

Read more about regression functions at:

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Write a trinomial with 3x as the GCF of its terms.

Answers

Answer:

3x (x² + x + 1)

You could write any trinomial like this

Convert x2 + y2 = 16 to polar form.r = 16

r = 4

θ = 16

θ = 4

Answers

The polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.

What is the polar equation?

A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.

It is given that:

The rectangular form of an equation is:

x² + y² = 16

The above equation representing a circle equation:

We can write the above equation as follows:

x² + y² = 4²

As we know, the polar form of the equation is:

x = r cos(θ)

y = r sin(θ)

r is the radius of the circle

r = 4

θ is the angle made by the component of x and y:

tanθ = y/x

tanθ = r/r; x = y = r

tanθ = 1

θ = 45 degrees

Thus, the polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.

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The Correct Answer is Option B

r = 4

Ex. CONVERT 2 + 2 = 4 x 4 = 16

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 25 33 34 45 48
Number of Bids 2 3 4 5 7

Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.
Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.Step 3 of 6: Find the estimated value of y when x = 34. Round your answer to three decimal places.Step 4 of 6: Determine the value of the dependent variable yˆ at x = 0.Step 5 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yˆ.Step 6 of 6: Find the value of the coefficient of determination.

Answers

Answer:

1) b1=5.831

2) b0=12.510

3) y(34)=210.764

4) y(0)=12.510

5) y=12.510+5.831x

6) R^2=0.85

Step-by-step explanation:

We have the linear regression model $y=b_0+b_1 x$ .

We start by calculating the all the parameters needed to define the model:

- Mean of x:

$\bar x=(1)/(5)\sum_(i=1)^(5)(2+3+4+5+7)=(21)/(5)=4.2$

- Uncorrected standard deviation of x:

$s_x=\sqrt{(1)/(n)\sum_(i=1)^(5)(x_i-\bar x)^2}\n\n\ns_x=\sqrt{(1)/(5)\cdot [(2-4.2)^2+(3-4.2)^2+(4-4.2)^2+(5-4.2)^2+(7-4.2)^2]}\n\n\n s_x=\sqrt{(1)/(5)\cdot [(4.84)+(1.44)+(0.04)+(0.64)+(7.84)]}\n\n\n s_x=\sqrt{(14.8)/(5)}=√(2.96)\n\n\ns_x=1.72$

- Mean of y:

$\bar y=(1)/(5)\sum_(i=1)^(5)(25+33+34+45+48)=(185)/(5)=37$

- Standard deviation of y:

$s_y=\sqrt{(1)/(n)\sum_(i=1)^(5)(y_i-\bar y)^2}\n\n\ns_y=\sqrt{(1)/(5)\cdot [(25-37)^2+(33-37)^2+(34-37)^2+(45-37)^2+(48-37)^2]}\n\n\n s_y=\sqrt{(1)/(5)\cdot [(144)+(16)+(9)+(64)+(121)]}\n\n\n s_y=\sqrt{(354)/(5)}=√(70.8)\n\n\ns_y=8.414$

- Sample correlation coefficient

$r_(xy)=\sum_(i=1)^5((x_i-\bar x)(y_i-\bar y))/((n-1)s_xs_y)\n\n\nr_(xy)=((2-4.2)(25-37)+(3-4.2)(33-37)+...+(7-4.2)(48-37))/(4\cdot 1.72\cdot 8.414)\n\n\nr_(xy)=(69)/(57.888)=1.192$

Step 1

The slope b1 can be calculated as:

$b_1=r_(xy)(s_y)/(s_x)=1.192\cdot(8.414)/(1.72)=5.831$

Step 2

The y-intercept b0 can now be calculated as:

$b_o=\bar y-b_1\bar x=37-5.831\cdot 4.2=37-24.490=12.510$

Step 3

The estimated value of y when x=34 is:

$y(34)=12.510+5.831\cdot(34)=12.510+198.254=210.764$

Step 4

At x=0, the estimated y takes the value of the y-intercept, by definition.

$y(0)=12.510+5.831\cdot(0)=12.510+0=12.510$

Step 5

The linear model becomes

$y=12.510+5.831x$

Step 6

The coefficient of determination can be calculated as:

$R^2=1-(SS_(res))/(SS_(tot))=1-(\sum(y_i-f_i))/(ns_y^2)\n\n\n\sum(y_i-f_i)=(25-24.17)^2+(33-30)^2+(34-35.83)^2+(45-41.67)^2+(48-53.33)^2\n\n\sum(y_i-f_i)=0.69+ 8.98+ 3.36+ 11.12+ 28.38=52.53\n\n\n ns_y^2=5\cdot 8.414^2=353.98\n\n\nR^2=1-(52.53)/(353.98)=1-0.15=0.85$

In this equation what do i have to change to make x equal 0 instead of 1/4
2√x+4-2=3

Answers

To solve for x:
- add 2 to both sides
2/x+4=5
- subtract 4 from both sides
2/x=1
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4

7+16y=;1/4 solution or no solution?

Answers

Answer:

the answer is, Y= -27/64

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