(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)

Answer:

2(6x+7)+10x

12x+14+10x

22x+14

Let me know if this helps!

The simplified version of the expression is 22x+14

Step-by-step explanation:

You need to start this by distributing the 2 to the 6x and the 7. When we do this, the expression now becomes 12x+14+10x

From here, we need to combine like terms, such as the 12x and the 10x. From this we get the final form of the expression: 22x+14

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Step-by-step explanation:

y = mx + b.

y = -5/x -5

I hope this helps,

Answer:

b

Step-by-step explanation:

Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

Answer:

the answer is B (0, -2)

Step-by-step explanation:

To find the point on the curve y = -x^2 - 2 that is closest to the point (0,1), we can use the method of least squares.

The method of least squares involves finding the point on the curve that minimizes the square of the distance between the point and the curve.

To begin, we can define a function d(x) = (y - (-x^2 - 2))^2 which represents the square of the distance between the point (x,y) on the curve and the point (0,1)

then we need to find the derivative of d(x) and set it to zero to find the minimum,

d'(x) = 2(y + x^2 + 2 - 1) = 2(y + x^2 + 1)

by setting d'(x) = 0 we get y = -x^2 - 1,

so the point on the curve that is closest to (0,1) is (0, -1) and the answer is B (0, -2)

Note that the point (0,-1) is on the curve y = -x^2 - 2 but not the point on the closest.

Answer:

We will $ 6.25 of interest every 30 days.

Step-by-step explanation:

Please notice that a month equals 30 days and that earning due to interests will be only effective after each 30th day. The simple interest formula is defined by the following formula:

\(I = \frac{C\cdot r\cdot t}{100}\) (1)

Where:

\(C\) - Borrowed money, measured in monetary units.

\(r\) - Simple interest rate, measured in percentage.

\(t\) - Number of periods, measured in months.

\(I\) - Interested gain due to borrowed money, meausred in monetary units.

If we know that \(C = 250\), \(r = 2.5\) and \(t = 1\), then the interest earned is:

\(I = \frac{(250)\cdot (2.5)\cdot (1)}{100}\)

\(I = 6.25\)

We will $ 6.25 of interest every 30 days.

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

D)

Step-by-step explanation:

1. the rule: m∠EFG *2=m~EFG (the missing angle)

2. according to the rule above the required missing angle is:

m~EFG=2*118°=236°.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

b

Step-by-step explanation:

Answer:

Y = 2x. it is given

now , 2x + 2y = 30

now putting y = 2x ,. in ( 2x + 2y) = 30

hence ,.2x + 4x = 30

6x = 30

x= 5

now ,y= 2x

y = 10

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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Answer:

To find ab you need to subtract 140 degrees from 180 degrees

That should equal 40 degrees

Step-by-step explanation:

Answer:

the answer to the question is 40

Tom's monthly mortgage repayment will be an amount of $1,144.41.

To calculate Tom's monthly mortgage repayment, we can use the formula:

\(M = P [ i(1 + i)^n ] / [ (1 + i)^n -1 ]\)

Where:

M = monthly repayment

P = the principal amount (loan amount) = $300,000 - $30,000 = $270,000

i = monthly interest rate = 2%/12 = 0.02/12 = 0.0017

n = number of months = 25 years x 12 months/year = 300 months

Plugging in the values:

M = $270,000 [ 0.0017(1 + 0.0017)³⁰⁰ ] / [ (1 + 0.0017)³⁰⁰ – 1 ]

M = $1,144.41

Thus, his monthly mortgage repayment will be $1,144.41.

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KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

?= 3

Step-by-step explanation:

let x = ？

18-2x=4x

6x=18x

x=3

Answer:

The value of ? is 3

Step-by-step explanation

Lets call   ?   x    

18-2x = 4x

18=6x

3=x

Answer:

16%

Step-by-step explanation:

Commission = Rate of commission * Total sales

So, Rate of commission = Commission/Total sales

x = Rate of commission

x = 480/3000

x = 0.16

x as percentage = 0.16 * 100

x as percentage = 16%

Answer:

-15%.

Step-by-step explanation:

Subtract 68 by 80 to get -12.

Divide -12 by the absolute value of 80 to get -0.15.

Multiply 100 to -0.15 to get -15.

A polynomial that represents the area of the available habitat for the wild animal is x² - 9x + 20

The formula for calculating the area of a rectangle is expressed as;

A = lw

Given that the parameters are enumerated as;

From the information given, the habitat of the animal is x miles away from the edge of the forest

Then, the area is represented as;

Area, A = (5-x)(4-x)

expand the bracket

Area, A = 20 - 5x - 4x + x²

collect the like terms

Area = x² - 9x + 20

Hence, the expression is  x² - 9x + 20

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Answer:

f(x) = 7

Step-by-step explanation:

f(x) = f(-x) it is even

-f(x)=f(-x) it is odd

f(x) = (x – 1)^2 neither even nor odd

f(x) = 8x   this is a line  odd functions

f(x) = x^2 – x  neither even nor odd

f(x) = 7  constant  this is an even function

Answer:

answer is f(x)= 7

Step-by-step explanation:

just took edge2020 test

The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:

5.4 liters ÷ 10 teams = 0.54 liters per team

However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.

The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:

0.54 liters per team × 920 grams per liter = 497.28 grams per team

Therefore, each team will receive 497.28 grams of olive oil as per the work.

Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

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AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

20/21

Step-by-step explanation:

Answer:

\(\frac{5}{7} / \frac{3}{4}=\\0.71428571428 / 0.75=\\0.95238095238 = 95238095238/100000000000\)

Step-by-step explanation:

0.95238095238

Chow,...!

Answer:

\(4(m - 11)(m - 2)\)

Step-by-step explanation:

\(4 {m}^{2} - 52m + 88\)

\( = > 4( {m}^{2} - 13m + 22)\)

\( = > 4( {m}^{2} - 11m - 2m + 22)\)

\( = > 4(m(m - 11) - 2(m - 11))\)

\( = > 4(m - 11)(m - 2)\)

Answer:

30:>

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

sorry that I took the points my bad but thx

Answer:

900,000,000

Step-by-step explanation:

923,187,456 is closer to 900,000,000 than 1,000,000,000 when using the greatest integer rule.

Answer:

Step-by-step explanation:

Quite literally you plug in -6 into t. So therefore:
h(t)=6t-2

h(-6)=6(-6)-2

h(-6)=-36-2

h(-6)=-38
-38 is your answer
h can be replaced with f and t can be replaced with x to get your standard f(x) equation if that helps you understand it better. Remember f(x) really just means the y value of the function with an input of value x. So f(x) = x is really just y=x or a linear line.