Describe the transformations of f(x) to get to g(x) pic attached below​

The solution to the set of equations are:

x = 17/7

y = 20/7

We have,

The two equations are:

x + y = 7 ______(1)

x² - y² = 15 _______(2)

We can use the method of substitution.

From the first equation.

y = 7 - x

We can substitute this expression for y into the second equation.

x² - (7 - x)² = 15

Expanding the square in the second term gives:

x² - (49 - 14x + x²) = 15

Simplifying this equation.

-14x + 34 = 0

Solving for x gives:

x = 17/7

Substituting this value of x into the first equation.

y = 7 - x = 20/7

Therefore,

The solution to the set of equations are:

x = 17/7

y = 20/7

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The complete question:

Solve the set of algebraic equations.

x + y = 7

x² - y² = 15

The value of angle k is 129⁰.

The value of angle b is 64.5⁰.

The value of angle b and angle k is calculated by applying the following principle of intersecting chord theorem.

k + 113 + 118 = 360 (sum of angles in a circle)

k + 231 = 360

k = 360 - 231

k = 129⁰

The value of angle b is calculated by applying the principle of intersecting chord theorem.

b = ¹/₂ arc k

b = ¹/₂ x 129

b = 64.5⁰

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The value of x is 2√14 mi

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore, if a and b are the legs of the triangle and c is the hypotenuse, then

c² = a²+b²

here, x and 5 are the legs and 9 is the hypotenuse of the triangle.

therefore;

x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = √4×14

x = 2√14

Therefore the value of the Missing side is 2√14 mi

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The image of A after a reflection using the y-axis is (-2, -1).

Given that, the coordinate of point A is (2, -1).

The image of A after a translation 2 units to the right.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

Here, (2+2, -1)=(4, -1)

The image of A after a reflection using the y-axis.

The reflection of point (x, y) across the y-axis is (-x, y).

So, the image of point A is (-2, -1)

The image of A after a rotation of 180° using center (0, 0)

Rule: (x, y) becomes (-y, x)

So, the image of point A is (1, 2)

Therefore, the image of A after a reflection using the y-axis is (-2, -1).

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The point (-4, -3) after the reflection across the y-axis and z-axis will be (-4, 3).

Given that:

Point, N(-4, -3)

A point's x-coordinate gets negated but its y-coordinate stays the same when it is reflected across the y-axis. Thus, the point N'(4, -3) would be produced by reflecting point N(-4, -3) across the y-axis.

A point's y-coordinate is negated but its x-coordinate remains unchanged when it is reflected across the z-axis. Thus, the point N"(-4, 3) would be produced by reflecting N'(4, -3) across the z-axis.

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Answer:

A= 7

B= 4

C= 10

D= 0

E= 13

answers in attachment below

Öncelikle verilen A ve B ifadelerinin değerlerini hesaplayalım:

A = (sin x . sec x)² - (tan x . cosec x)²

A = (sin x / cos x)² - (sin x / cos x)²

A = sin² x / cos² x - sin² x / cos² x

A = 0

B = 2 - 2cos² x + cos⁴ x - sin⁴ x

B = 2 - 2cos² x + (cos² x)² - (sin² x)²

B = (cos² x)² - 2cos² x + 2

Şimdi 2A + 3B'yi hesaplayalım:

2A + 3B = 2(0) + 3[(cos² x)² - 2cos² x + 2]

2A + 3B = 3cos⁴ x - 6cos² x + 6

Bu şekilde 2A + 3B ifadesinin ayrıntılı hesaplanması tamamlanmış oldu.

Answer:

you can make 12 cans of them

Answer:

180 cmStep-by-step explanation:

The numbers closest to the middle of the squares of consecutive integers around 69² are 4624 and 4761, which are at the squares of 68 and 69, respectively.

To find the number closest to the middle of the squares of consecutive integers around 69², we can use the fact that the squares of consecutive integers increase by an odd number. Specifically, the difference between the squares of consecutive integers n and n+1 is

(n+1)² - n² = 2n + 1

Therefore, the squares of consecutive integers around 69² are

67² = 4489

68² = 4624

69² = 4761

70² = 4900

71² = 5041

The middle of these squares is between 69² and 70², which is

(69² + 70²)/2 = 9674.5

So, we want to find the squares of the integers closest to 9674.5. Since 69 is closer to 9674.5 than 70, the two squares that are closest are

68² = 4624

69² = 4761

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--The given question is incomplete, the complete question is given

" What Interferes are closest to the number in the middle of 69²? "--

4ab² is the simplified value of the given expression.

To simplify the expression, we can divide the coefficients and variables separately:

[tex]12a^3b^6c^5 / 3a^2b^4c^5\\\\= (12/3) * (a^3/a^2) * (b^6/b^4) * (c^5/c^5)\\\\= 4 * a^{3-2}* b^{6-4} * c^{5-5}\\\\= 4a * b^2 * 1\\\\= 4ab^2\\[/tex]

Therefore, the simplified expression is 4ab².

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The indefinite integral of ∫ (4x⁴ - 5)⁵ . 32x³ dx is (4x⁴ - 5)⁶/3 + C.

The solution of the indefinite integral is calculated by using substitution method.

Let u = 4x⁴ - 5

du/dx = 16x³

dx = du/(16x³)

Substituting into the integral;

∫ (4x⁴ - 5)⁵ . 32x³ dx =  ∫ u⁵ . 32x³ du/(16x³)

∫ u⁵ . 32x³ du/(16x³) =  ∫ 2u⁵ du

∫ 2u⁵ du =  2∫u⁵ du

2∫u⁵ du = 2 (u⁶/6 + C)

2 (u⁶/6 + C)  = u⁶/3 + C

Substituting back for u;

∫ (4x⁴ - 5)⁵ . 32x³ dx = (4x⁴ - 5)⁶/3 + C

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Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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The domain and range of the exponential function for the given graph is equal to Domain = [ -1 , 3 ) and range = [ -36 , -1/36 ).

For the plotted graph of exponential function f(x),

Plotted graph represents the endpoints.

In the fourth quadrant ( -1 , -36 ) represents the closed interval.

In the first quadrant ( 3 , -1/36 ) represents the open interval.

Domain of the function is represented by all input values.

Here x-values represents the domain.

Domain of the exponential function = [ -1 , 3)

Or -1 ≤ x < 3

Range of the function is all output values.

Here y-values represents the range.

Range of the exponential function = [ -36 , -1/36 ).

Therefore, the domain and range of the exponential function of the graph is equal to [ -1 , 3 ) and  [ -36 , -1/36 ).

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Using proportions, it is found that you need 900 quarts of brown stock to make the servings of mushroom gravy.

We know that;

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Now, In this problem,

Each serving takes 75 cups of brown stock is,

= 75/4

= 18.75 quarts.

So, 48 servings will be made,

hence the number of quarts is given by:

n x Q = 48 x 18.75

= 900 quarts.

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Answer:

A golden rectangle is a rectangle whose length and width are in the golden ratio, which is approximately 1.618. This means that if one side of the rectangle is x, then the other side is approximately 1.618x.

In this case, we know that one side of the rectangle is 0.82 centimeters. To find the length of the other side, we can multiply this value by the golden ratio:

1.618 × 0.82 ≈ 1.327

Therefore, the length of the other side of the rectangle is approximately 1.327 centimeters.

The lateral area of the triangular prism is 288 square inches and the surface area is 336 square inches

The lateral area of a right triangular prism is given by:

LA = perimeter of base triangle * height

LA = (a + b + c) * h    (check attached image for labeling)

where a, b and c are the bases of the rectangular faces and h is the total height of the prism.

a = 10 in, c = 8 in and h = 12 in

b = √(10² - 8²)      (Pythagoras)

b = 6 in

LA = (10 + 6 + 8) * 12

LA =  288 square inches

The surface area of a right triangular prism is sum of the areas of the faces that make the prism.

The surface area of a right triangular prism is given by:

SA = (a + b + c)h + bc

SA = [(10 + 6 + 8)*12] + [6 * 8]

SA = 288 + 48

SA = 338 square inches

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Complete Question

Check image

The practical use of the confidence interval will be C. The confidence interval can be used to estimate that, with 90% confidence, the interval from true mean DNA base of all people

CI = 2.7 ± 1.645 * (1.0801/√10) ≈ (1.4, 4.0)

Therefore, the 90% confidence interval for the population mean µ is (1.4, 4.0).

The efficacy of confidence intervals lies in their aptitude to determine the probable range of values wherein the authentic populace mean probably resides, with a provided level of assurance. Consequently, we can assert with 90% sureness that the true population mean of DNA bases are likely to rest between 1.4 and 4.0.

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Being male and preferring Brand A are independent, as:

P(male|Brand A) = P(male).

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

From the table, we are already given the relative frequencies, hence we must simply identify the desired outcomes and the probability of being male is given as follows:

0.5 + 0.15 = 0.65.

The conditional probability of being male, given that the person prefers brand A, is given as follows:

P(male|Brand A) = P(male and Brand A)/P(Brand A) = 0.5/0.8 =  0.625.

As the probabilities are equal, the events are independent.

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Answer:

[tex]m = \frac{29 - 20}{33 - 8} = \frac{9}{27} = \frac{1}{3} [/tex]

[tex]20 = \frac{1}{3} (8) + b[/tex]

[tex] \frac{60}{3} = \frac{8}{3} + b[/tex]

[tex]b = \frac{52}{3} [/tex]

[tex]y = \frac{1}{3} x + \frac{52}{3} [/tex]

[tex]3y = x + 52[/tex]

[tex] - x + 3y = 52[/tex]

[tex]x - 3y = - 52[/tex]

Answer:

6

Step-by-step explanation:

y2=144 +81 = 225

225 sqaure root =. 15

so the triangle lenghts are 9 12 15  

the other ones lenghts are x 8 10

to find how they changed you could use cross multiplication.

so you will get 12 x = 72 and simply it to get x = 6

Answer:

Step-by-step explanation:5.7

The requried, correct statment is shown below,

B) The report accurately states the results because a mean score of 3.2 is greater than the predicted average of 3 on the statement regarding prioritizing free time.

C) The report does not accurately interpret the result of the statement regarding prioritizing free time.

D) The report of the study should state that there is a strong correlation between participation in sports and the ability to prioritize free time rather than make a broad conclusion.

Statement A is not true as it suggests a specific sampling method is necessary for accuracy, which is not necessarily the case. The study can still be accurate if the sample is randomly selected and sufficiently large.

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Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Sharon's employer deducts taxes from her salary to pay the federal government directly, which is a type of payroll tax. Nelson's company pays taxes based on a percentage of profits for the year, which is a type of corporate tax.

Priscilla pays more than the value listed on the price tag of a summer dress, which is a type of sales tax. Lincoln pays taxes directly to the government for the land he owns, which is a type of property tax.

Payroll taxes are levied on the earnings of employees and are used to fund social security, Medicare, and other federal and state programs. Corporate taxes are taxes on the profits earned by businesses.

Sales taxes are levied on the price of goods or services sold to consumers. Property taxes are levied on real estate owned by individuals or businesses based on the assessed value of the property.

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The number of students have not paid for the trip is 0.

Given that, there are 30 students in her class.

⅕ paid for the trip with a check.

That is, 1/5 ×30=6 students

½ paid for the trip with cash.

Now, 1/2 ×30 =15 students

30% have paid half of their money.

Here, 30% of 30

30/100 ×30

= 900/100

= 9 students

Total students = 6+15+9

= 30

So, rest of students = 30-30=0

Therefore, the number of students have not paid for the trip is 0.

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The multiplication of the given two matrices A and B gives,

AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex]

Given two matrices,

A = [tex]\left[\begin{array}{ccc}1&3&-1\\3&0&3\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}3&0\\-4&1\\0&3\end{array}\right][/tex]

We have to find the product of these matrices.

We have to multiply each row of A with each column of B.3

(AB)₁₁ = (1 × 3) + (3 × -4) + (-1 × 0) = -9

(AB)₁₂ = (1 × 0) + (3 × 1) + (-1 × 3) = 0

(AB)₂₁ = (3 × 3) + (0 × -4) + (3 × 0) = 9

(AB)₂₂ = (3 × 0) + (0 × 1) + (3 × 3) = 9

Hence the product is,

AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex]

Hence the product is AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex].

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Answer:

Let x be the number of additional outfits.

5 + x < 11

The values of the products of the given fractions are 4 and 1 11/16.

Given are fractions we need to divide them,

We know that the in dividing the fraction we just flip the second fraction and change the sign of division by the sign of multiplication,

Here we will use the same concept,

1) 4/5 ÷ 1/5

Flipping the second fraction, and changing the sign of division by the sign of multiplication,

4/5 ÷ 1/5

= 4/5 × 5/1

= 20/5

= 4

Similarly,

2) 2 1/4 ÷ 1 1/3

Here the fractions are given in mixed form, firstly we will change them into proper fractions, then apply the same concept as above,

2 1/4 ÷ 1 1/3

= 9/4 ÷ 4/3

= 9/4 × 3/4

= 27/16

= 1 11/16

Hence the values of the products of the given fractions are 4 and 1 11/16.

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After burning for x hours, the candle's length, y, is calculated using the formula: y = 9 - (1/2)x.

Let y represent the length of the candle that is still burning after burning for x hours.

Since the candle burns at a rate of 1/2 inch per hour, we can use the following equation to explain the connection between the candle's length and the number of hours burned:

y = 9 - (1/2)x

Here, 9 represents the original length of the candle, and (1/2)x represents the length of the candle burned after x hours.

By subtracting the length burned from the original length, we obtain the length remaining after x hours.

Therefore, the function that determines the length of the candle, y, after burning for x number of hours is:

y = 9 - (1/2)x

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