[tex]f(x) = 3 \\ what \: is \: the \: domain \: and \: range \: of \: th \: function \: above.[/tex]
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Answer:

[tex]x=20.67\ ft[/tex]

Step-by-step explanation:

we know that

The Midpoint Theorem says that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side

so

in this problem

Applying the midpoint theorem

[tex]x=\frac{124}{3}:2=\frac{124}{6}=\frac{62}{3}=20.67\ ft[/tex]

E é usado para significar "10 à potência de". Por exemplo, 1.314E + 1 significa 1.314 * 101, que é 13.14.

The area of shaded-region is 8.86 cm^2

Step-by-step explanation:

We can see that there is a circle and a triangle in the given figure

In order too find the area of shaded region, we have to find the area of rectangle and circle first. The area of the shaded region will be obtained by subtracting the area of circle from the area of rectangle.

So,

Area of circle:

Radius = r = 1 cm

So,

[tex]A_c = \pi r^2\\= 3.14 * (1)^2\\= 3.14*1\\= 3.14\ cm^2[/tex]

Area of rectangle:

Length of rectangle = l = 4 cm

Width of rectangle = w = 3 cm

So,

[tex]A_r = l*w\\= 4 *3\\=12 cm^2[/tex]

Now,

[tex]Area\ of\ shaded-region = A_r - A_c\\= 12 - 3.14\\=8.86\ cm^2[/tex]

The area of shaded-region is 8.86 cm^2

Keywords: Area, shaded regions

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Multiply everything inside the brackets by -4

-4(3.2x) = -12.8x

-4(5y) = -20y

-4(-2.1) = 8.4

Put it together:

-12.8x - 20y + 8.4

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Answer:

Madhu's age= 21 and Sanku's age=7

Step-by-step explanation:

let the age of Madhu be x and age of Sanku be y.

now,

x=3y-equation (i)

then,

x-y=14

or,3y-y=14

or,2y=14

or,y=14/2

:. y=7

at last,putting value of y in equation(i)

x=3y

or,x=3x7

or,x=21

Therefore, Madhu's age is 21 and Sanku's age is 7

Answer:

Step-by-step explanation:

2n + n    combine like terms

= 2n + 1n = (2 + 1)n = 3n

Answer:

3n

Step-by-step explanation:

2n + n Combine like terms

= 2n + 1n = (2+1)n= 3n

Answer:

y = -2(x + 1)

Step-by-step explanation:

x-intercept of -1 means y=0 when x=-1, so you have your (x₁, y₁) value of (-1, 0).

Slope is -2 so m=-2.

Plug into point-slope formula:

y = m(x - x₁) + y₁

y = (-2)(x - (-1)) + (0)

y = -2(x + 1)

Answer:

X=100

Step-by-step explanation:

X-(-300)=400

X+300=400

X=400-300

X=100

Answer:

x=100

Step-by-step explanation:

2 negatives make a positive

Answer:

1404.5 is your answer when you divide 8,427 by 6

Answer:

1404.5

Step-by-step explanation:

8427 divided by 6 in decimal = 1404.5

8427 divided by 6 in fraction = 8427/6

8427 divided by 6 in percentage = 140450%

Answer:

2(7-2)=2(5)=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 2(L + W)

P = 56

L = 12

now sub...we are looking for w

56 = 2(12 + W)

56 = 24 + 2W

56 - 24 = 2W

32 = 2W

32/2 = W

16 = W <==== the width is 16 inches

check...

P = 2(L + W)

56 = 2(12 + 16)

56 = 2(28)

56 = 56 (correct)

Answer:

y = 0

Step-by-step explanation:

1 c.

If we have an exponential function of the form  [tex]f(x)=a^x[/tex], where "a" is any positive integer, say, then that function will take the general shape of the function shown in the picture.

It will always approach the x-axis but never meet (touch). Any line that a function (graph) approaches but never touches, is known as an asymptote to the graph.

Since the function  [tex]f(x)=4^x[/tex]  follows the path of the general form shown above, this also approaches the x-axis, but never touches. So, the x-axis is the asymptote of the function.

We know

x-axis has equation  y = 0, and

y-axis has equation x = 0

Here, the x-axis is the asymptote, so the equation is:

y = 0

Answer:

2x+7y>=10

Replace x and y with 2 and 1

2*2+7*1>=10

2*2=4

7*1=7

4+7>=10

7+4=11

2x+7y>=10 is a true statement

Because 11 is greater than 10 and it doesnt have to be equal to 10 as long as its greater.

Answer:

No. it does not

Step-by-step explanation:

(i assumed you meant 2x+7y=10)

1.) 2(2)+7y=10

2.)2(2)+7(1)=10

3.)4+7=10

4.)11=10

Answer:

C. 10 and 20

Step-by-step explanation:

A common factor is just a value that both numbers can be divided by to give you an integer. (an integer is a number without a decimal point btw or anything that is not a fraction)

Answer A and B are too small so there's no way they can be divided by 10.

D and E are too big, so they can be divided by a number bigger than 10. (the question did ask for the biggest dividing number to be 10)

The only answer left is C.

1 piece=3*12

=36

sp=36*35

=1260

profit=s.p-c.p

=1260-1008

=rs.252

Answer:

3

Step-by-step explanation:

What Do You Mean Graphy  But I Just Think It Is 3

Solving for x...

4(x-3)=-8

Divide by 4.

x-3=-2

Add 3.

x=1

Answer: x = +1

Step-by-step explanation: To solve for x in this equation, our first step is to simplify the left side by distributing the 4 through both terms inside the parentheses.

When we do that, we get 4 times x which is 4x and 4 times -3 which is -12. So we have 4x - 12 = -8. Our next step is to isolate the x-term by adding 12 to both sides of the equation. On the left, -12 + 12 cancels and we are left with 4x. On the right, -8 + 12 simplifies to 4.

Now we have the equation 4x = 4.

To get x by itself, we divide both sides by 4 and x = +1.

The answer is T(n)=5(n-1)+n+1

because = T(4)=5(4-1)+4+1

              =T4=5(3)+5

              =T4=15+5

              =T4=20

this took me half an hour

Yes they are linearly dependent, essentially the same equation.

Start from one of them:

-6 + y = 2x

Move things around:

y - 2x = 6

Multiply both sides by 2,

2y - 4x = 12

That's the second equation, which we've shown is equivalent to the first, so they're linearly dependent.

The 82nd term of the arithmetic sequence -8, 9, 26 can be solved using the arithmetic sequence formula, which results in the 82nd term being 1369.

The subject of this question is related to finding the 82nd term of the arithmetic sequence -8, 9, 26. Arithmetic sequences follow a pattern of adding a consistent value, this consistent value is called the common difference. From the given sequence, the common difference (d) can be calculated by subtracting the first term from the second term, or the second from the third, and so on. So d = 9 - (-8) = 17 or 26 - 9 = 17.

The formula for finding the nth term of an arithmetic sequence is a_n = a_1 + (n - 1) * d. Here, a_1 is the first term of the sequence and n is the term number we're interested in.

Thus, the 82nd term of the sequence can be found by substituting the values into the formula: a_82 = -8 + (82 - 1) * 17 = 1369. So, the 82nd term of the given arithmetic sequence is 1369.

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The [tex]82^{nd}[/tex] term of the arithmetic sequence -8, 9, 26, ..., is 1369.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is known as the common difference (d).

⇒ aₙ = a₁ + (n - 1) × d

where a₁ is the first term, n is the term number, and d is the common difference.

⇒ a₁ = -8.

⇒ d = 9 - (-8) = 17.

⇒ n = 82

⇒ a₈₂ = -8 + (82 - 1) × 17

⇒ a₈₂ = -8 + 81 × 17

⇒ a₈₂ = -8 + 1377

⇒ a₈₂ = 1369

Therefore, the [tex]82^{nd}[/tex] term of the sequence is 1369.

Complete question:

Find [tex]82^{nd}[/tex] term of the arithmetic sequence -8, 9, 26, ....

Answer:

14√3

Step-by-step explanation:

4√12 + 2√27

First, simplify both terms:

4√3√4 + 2√9√3

4 * 2√3 + 2 * 3√3

8√3 + 6√3

Now, combine the terms:

14√3

To find the sum of 4 radical 12 and 2 radical 27 in simplest form, we simplify each radical expression individually and then add the simplified expressions together, resulting in 5 times the square root of 3.

To find the sum of 4 radical 12 and 2 radical 27 in simplest form, we first need to simplify each radical expression individually. The square root of 12 can be simplified as the square root of 4 times the square root of 3, which is 2 times the square root of 3. Similarly, the square root of 27 can be simplified as 3 times the square root of 3.

Now, we can add these simplified radical expressions. 4 radical 12 plus 2 radical 27 equals (2 times the square root of 3) plus (3 times the square root of 3). This can be simplified as 5 times the square root of 3.

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Answer:

y = -1/2x + 2

Step-by-step explanation:

A line in slope-intercept form in y = mx + b

"m" is the slope

"b" is the y-intercept

x and y represent points on the graph

To write an equation, you need "m" and "b".

We already know m = -1/2

The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.

Points are in the form (x , y), so x = 0 and y = 2.

Therefore b = 2.

Substitute m = -1/2 and b = 2 into the equation:

y = mx + b

y = -1/2x + 2

Answer:

Option C) 27 people

Step-by-step explanation:

Let

x ----> the number of people

we know that

The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50

so

The linear equation that represent this situation is

[tex]35+8.50x=264.50[/tex]

solve for x

Subtract 35 both sides

[tex]8.50x=264.50-35[/tex]

[tex]8.50x=229.50[/tex]

Divide by 8.50 both sides

[tex]x=229.50/8.50[/tex]

[tex]x=27\ people[/tex]

Answer:

M = (8,9)

Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0),  a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

[tex]AB=\sqrt{15^2+20^2} =\sqrt{625} =25[/tex]

Now, to get a 2:3 proportion on Segment AB which is of length 25, we need to divide it in five equal parts (see the picture on the right of the attached image), and place point M at two of these divisions from point A (0,15) and along segment AB.

In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25,  each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

Now, in order to find the sides of this smaller triangle (which can give us the clues on the horizontal and vertical coordinates of point M), we can use proportions.

To find the length "x" of the horizontal side , we do:

[tex]\frac{x}{10} =\frac{20}{25} \\x=\frac{10*20}{25} \\x=8[/tex]

To find the length "y" of the vertical side , we do:

[tex]\frac{y}{10} =\frac{15}{25} \\y=\frac{10*15}{25} \\y=6[/tex]

Then, the coordinate "x" of point M will be "8", while we can calculate the y position of point M subtracting "6" from 15 (the length of the vertical side in the original triangle). This gives us the coordinates (8,9) for point M as marked in orange in the picture.

The constant of variation here is the reading speed, which is 14 pages per hour.

The student reads 56 pages in 4 hours. To find out how many pages the student will read in 7 hours, we first calculate the constant of variation, which is the student's reading speed per hour. We divide 56 pages by 4 hours to get a reading speed of 14 pages per hour. To find the total number of pages read in 7 hours, we multiply the hourly reading speed by 7 hours.

Calculate hourly reading speed: 56 pages   4 hours = 14 pages/hour.

Multiply the hourly reading speed by the number of hours: 14 pages/hour   7 hours.

The student is expected to read 98 pages in 7 hours (14 pages/hour   7 hours = 98 pages).

hence, the student's constant of variation is their reading speed, which is 14 pages per hour. By multiplying this constant by 7 hours, we find that the student will read 98 pages in 7 hours.

Answer:

[tex]x=4\sqrt{2}\ units[/tex]

Step-by-step explanation:

Theorem: In the right triangle the leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Based on the theorem above,

[tex]x^2=2\cdot (2+6)\\ \\x^2=4\cdot 8\\ \\x^2=32\\ \\x=\sqrt{32}\ units\\ \\x=4\sqrt{2}\ units[/tex]

Answer: 14. 1 in

Step-by-step explanation:

The formula for calculating the length of an arc is given as :

L = Ф/360 x 2πr

where Ф is the angle subtended by the arc

r = radius

substituting the given values

L = 135/360 x 2 x 3.14 x 6

L = 5086.8/360

L = 14.13

L ≈ 14.1 in to the nearest tenth

Answer:

The answer is A

Step-by-step explanation:

edge 2021

Answer:

Each golf ball costs about $2.

Step-by-step explanation:

Given:

Donald bought a box of golf balls for $9.27. There were 18 golf balls in the box.

Rename the decimal dividend as a whole number that is  compatible with the divisor to estimate the quotient.

Now, to find the cost of each golf ball.

As given:

Rename the decimal dividend as a whole number that is  compatible with the divisor to estimate the quotient.

As, the cost of golf ball box = $9.27.

So, 9.27 nearest to whole number is 9.

Thus to get the cost of each ball:

18 golf balls cost = $9.

So, 1 golf ball cost = [tex]18\div 9=2.[/tex]

Therefore, each golf ball costs about $2.