what are the solutions in the following equations?​

The composite function of f o g are (-4,-5),(0,3),(1,6). The composite function of g o f are (-5,0),(3,-4),(6,1).

A function is defined as a relation between the set of inputs having exactly one output each.

Given;

f = {(-4,-5),(0,3),(1,6)}

g = {(-5,0),(3,-4),(6,1)}.

In order to find f o g and g o f,

f o g  = f(g)

The composite function of f o g

f(-5,0) = (-4,-5)

f(3,-4) = (0,3)

f(6,1) = (1,6)

The composite function of g o f

g(-4,-5) = (-5,0)

g(0,3) = (3,-4)

g (1,6) = (6,1)

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The largest angle of the triangle is equal to 80 degrees.

Concept: Angle sum property of a triangle i.e., the sum of all angles of a triangle is equal to 180 degree

Given :  Degree measures of the angles in a triangle are in the ratio 2:3:4

Let one part of each angle of the triangle be x, so the different angles of triangle are 2x,3x,4x (taking the ratios given in the question  and multiplying by each of them by x)

2x +3x +4x = 180x

180x = 20

The angles of a triangle are 40,60,80

The largest angle of the triangle is equal to 80 degrees.

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Total area = 104+24 = 128 sq.in ,  Option C is the right answer.

The missing figure is attached with the answer.

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

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Answer:

19 small frames and 3 large frames

Step-by-step explanation:

follows the steps in the attached

Answer:

2268x²-1944w+648

-9² = 81

81×4 =324

use the 324 to remove the bracket

Answer:

117

Step-by-step explanation:

The total population is 117 million

Answer:

N. The number of people purchasing coffee each day in a coffee shop

Step-by-step explanation:

A fraction of a person could not buy coffee because every person is a whole person. If something is not a person, it's not a person. Therefore, the only numbers you could add to this value are 0 and 1.

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

[tex]\textsf {The function is :}[/tex]

[tex]\boxed {h(x) = 2x - 2}[/tex]

[tex]\textsf {Finding the missing values :}[/tex]

[tex]\textsf {The table :}[/tex]

[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]

The number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

28.6% of city employees ride the bus to work. Last year,29.7% of city employees rode the bus to work.

The relative change will be calculated as follows:-

Relative change =  Present year data - Last year's data

Relative change = 28.6 - 29.7

Relative change  = -1.1%

Therefore the number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.

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Using the z-distribution, it is found that she should take a sample of 97 scores to ensure that the margin of error is below 20.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence by the Empirical Rule the standard deviation is given by:

[tex]6\sigma = 800 - 200[/tex]

[tex]\sigma = 100[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

To ensure a margin of error of 20, we solve for n when M = 20, hence:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]20 = 1.96\frac{100}{\sqrt{n}}[/tex]

[tex]20\sqrt{n} = 1.96 \times 100[/tex]

[tex]\sqrt{n} = 1.96 \times 5[/tex]

[tex](\sqrt{n})^2 = (1.96 \times 5)^2[/tex]

n = 96.04.

Rounding up, she should take a sample of 97 scores to ensure that the margin of error is below 20.

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ANSWERS ARE AT THE BOTTOM.

To find the probability of 2 events happening in a row, we need to multiply their probabilities.

For example, if a friend bet: "If you roll a six on a dice and filp and coin and get heads, then I'll give you 500 bucks. However, if you don't roll a six and flip and coin and get heads in a row, then you have to give me 500 bucks."

You want to know the probability of you winning this bet.

So, we need to multiply the probability of rolling a six, and the probability of flipping a coin and landing heads.

This is 1/6 * 1/2

That is 1/12

You probably should't take this bet, because you only have a 1/12 chance of winning.

Lets go back to your problem. The jar contains 16 red marbles and 28 blue marbles. The probability of picking a red marble right now is 16/28, or 4/7. Assume we picked a red marble on our first try. Now, there are only 15 red marbles. The probability of picking a red marble right now is 15/28.

Probability of picking a red marble on your first try:  4/7

Probability of picking a red marble on your second try:  15/28

Now, we need to multiply the probabilities.

4/7 * 15/28

60/196

15/49

ANSWER:

15/49

Answer:

[tex]2a^{4} + 5a^{3} - 13a^{2} + 19a - 28[/tex]

Step-by-step explanation:

The slope is -1, and the value of the y-intercept is 6 if the linear function contains the points provided.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope is:

[tex]\rm m =\dfrac{6-8}{0-(-2)}[/tex]

m = -1

The equation of a line:

y = mx + c

y = -x + c

Plug x = 0 and y = 6

y = 6

y-intercept is (0, 6)

Thus, the slope is -1, and the value of the y-intercept is 6 if the linear function contains the points provided.

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The statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C

A tessellation can be defined as a pattern of geometric shapes that fill a two-dimensional space without gaps and overlaps

It is also known to repeat infinitely in all directions.

Thus, the statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C

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Answer:

0.5

Step-by-step explanation:

well you can just take one of the sides and in this case I'll use AC which originally is 8 and then in AC prime it's 4. You can simply divide the new length by the original length which is 4/8 or 0.5. So if you multiply any of the original side lengths by 0.5 you'll get the new side length.

Answer:

1/2

Step-by-step explanation:

edge 23

Answer:

  168π cm²

Step-by-step explanation:

The total surface area is the sum of the areas of the parts: a hemisphere and a cone.

__

The area of a hemisphere is half the area of a sphere, so the total area is ...

  total area = hemisphere area + cone area

  = 2πr² +πrl

  total area = πr(2r +l)

__

For the given dimensions, r = 6 cm, l = 16 cm, the total surface area is ...

  total area = π(6 cm)(2(6 cm) +16 cm) = π(6)(28) cm²

  total area = 168π cm²

Step-by-step explanation:

the sum of all exterior angles in a polygon is always 360° (one time around the full circle).

so,

360 = 71 + 85 + 44 + 3x + 5x = 8x + 200

160 = 8x

x = 20

Step-by-step explanation:

there are clearly some typos in the question.

so, to summarize what I understood :

the roof of each playhouse is an isoceles triangle, with the largest angle being 146°.

we need to find the other 2 angles.

"isoceles" means that both legs are equally long.

that means automatically that both side angles (bottom left and bottom right) are equally large too.

and now, this please burn into your brain forever :

the sum of all angles in a triangle (no matter what type) is always 180°.

so, if we call a side angle x, we have here

180 = 146 + x + x = 146 + 2x

34 = 2x

x = 17°

so, both missing angles are 17°.

a pretty flat triangle roof.

Answer: Answer is C

Step-by-step explanation: It is C because its option C

Answer: 2.7545

The question was a little off, but I can understand enough

Step-by-step explanation:

Grade       Grade Point(x)       Course Credit(y)        Product(xy)

A                     4                            3                                12

B                      3                           4                                12

B                     3                            4                                12

B                      3                          4                                 12

C                     2                           2                                 4

D                      1                           3                                 3

Total                                              20                             55

This means, the GPA of the student is :

[tex]GPA=\frac{55}{20}[/tex]

[tex]2.75[/tex]

Answer:

30%

Step-by-step explanation:

First we find out the difference between them:

$654,030 - $457,821 = $196,209

Then we compare it with the original price:

196,209/654,030 = 0.3

Since 0.3 is 30%, that is 30% decrease in value.

The coordinates of point C that forms the triangle is; (2, -1)

We are told that point D divides line segment AB in the ratio of 5:3.

The line segment division formula is;

(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)

For this question;

x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3

Thus, (x, y) gives us;

(5*10 + 3*2)/(5 + 3), (5*2 + 3*-6)/(5 + 3)

D(x, y) = (7, -1)

Now, we need to find the coordinates of C

We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line

And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).

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Answer:

A

Step-by-step explanation:

there cannot be 2 different points on the same x coordinate

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x(x + 5)(x - 2)

x(x + 5)(x - 2) = 0

x = 0, x + 5 = 0, x - 2 = 0

x = 0, -5 and 2

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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Answer:

90°

Step-by-step explanation:

A complement angle is the same as a right angle

Hii!

___________________________________________________________

Answer:

Step-by-step explanation:

The sum of complementary angles is always 90 degrees.

We can find the complements of these two angles by setting up an equation.

x+42=90

Subtract 42 from both sides

x=48

This problem can be solved the same way!

x+35=90

Subtract 35 from both sides

x=55

--

Hope that this helped! Best wishes.

--

The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

As we have given about the Euclidean and analytical geometry.

Without using any numerical measurements, we have investigated the connections between points, lines, and planes in Euclidean geometry.

In analytical geometry, we've looked at how the locations of points in a Cartesian coordinate system related to algebra and geometry.

The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

If the Euclidean geometry can be more advantageous in particular circumstances

Example: If using terrain or building chart),

Thus, the analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

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Answer:abc and d

Step-by-step explanation:

trust me I took the dum test

Answer:

To solve this quadratic equation, take the square root of both sides.

Since the left side is a perfect square, it will just be reduced to:

4y - 3

For the constant on the right side, the positive and negative roots must be considered.

√72 = ±6√2

Equating the two:

4y - 3 = ±6√2

4y = 3 ± 6√2

y = (3 ± 6√2)/4

y = (3 + 6√2) / 4 = 2.87

and

y = (3 - 6√2) / 4 = -1.37