6 lesson 10 the value of x unit

Answer:

Step-by-step explanation:

A_n = a + (n-1)d

a_n = -2n + 3

when n=1

a_1 = a = -2(1) + 3 = -2 + 3 = 1

when n = 2

a-_2  = -2(2) + 3 = -4 +3 = -1

a_2 = a + d

therefore,

a + d = -1

d = -1 - a

d = - 1 - 1

d = -2

Therefore the sequence is ,

1 , -1, -3, -5, -7.......

The first 5 terms of the sequence are -3, -4, -3, -6, and -7.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the first 5 terms of the sequence, we can simply evaluate the formula for n = 1, 2, 3, 4, and 5.

For n = 1, we have:

a_1 = -(1) - 2 = -3 (not divisible by 3)

For n = 2, we have:

a_2 = -(2) - 2 = -4 (not divisible by 3)

For n = 3, we have:

a_3 = -2(3) + 3 = -3 (divisible by 3)

For n = 4, we have:

a_4 = -(4) - 2 = -6 (not divisible by 3)

For n = 5, we have:

a_5 = -(5) - 2 = -7 (not divisible by 3)

Therefore,

The first 5 terms of the sequence are -3, -4, -3, -6, and -7.

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Answer:

14/20

Step-by-step explanation:

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:

\((-\frac{1}{3},\frac{1}{2} )\) , \((-\frac{3}{2} ,3)\)

Step-by-step explanation:

2y = 3x + 1

y = 2x + 3

Graph 2y = 3x + 1.

Divide each term by 2 and simplify.

      \(y=\frac{3x}{2}+\frac{1}{2}\)

Rewrite in slope-intercept form.

      \(y=\frac{3}{2}x+\frac{1}{2}\)

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form y = mx + b.

       \(m=\frac{3}{2}\)

        \(b=\frac{1}{2}\)

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \(\frac{3}{2}\)

y-intercept: \((0,\frac{1}{2} )\)

Any line can be graphed using two points. Select two x values, and plug them into the  equation to find the corresponding y values.

Find the x-intercept.

x-intercept(s):  \((-\frac{3}{2},0 )\)

y-intercept(s): (0, 3)

Create a table of the x and y values.

  _x_|_y_

  \(-\frac{3}{2}\)  |   \(0\)

     \(0\)  |   \(3\)

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

intercept: (0, 3)

  _x_|_y_

  \(-\frac{3}{2}\)  |   \(0\)

     \(0\)  |   \(3\)

Graph y = 2x + 3

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

intercept: (0, 3)

x-intercept(s): \((-\frac{3}{2},0)\)

y-intercept(s): (0, 3)

Plot each graph on the same coordinate system.

The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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Answer

0.73

Step-by-step explanation:

73% = 0.73 in decimal form. Percent means 'per 100'. So, 73% means 73 per 100 or simply 73/100.

Answer:

Step-by-step explanation:

73%

=73/100

=0.73

when u divide the percentage with hundred percentage sign will be removed.

Answer:

The answer is 6

Step-by-step explanation:

12 divided by 2 is 6. If you have a fraction of 1/2, then its half of it. 6 is half of 12. :)

Answer: 6

Explanation:

You can multiply the numerator by the numerator and the denominator by the denominator.

The numerator of 12 is 12 and denominator of 12 is 1.

\(\frac{12}{1} *\frac{1}{2}=\frac{12}{2}\)

Simplify this fraction and you get 6 over 1 or just 6.

You can also use common sense (not really).

You probably know that 1/2 is one half. To find half of something, you would normally divide by 2. 12 divided by 2 is 6.

Answer: the answer is 7 + (3 √(1)) = 10

Step-by-step explanation:

7+3√1

= 7+3 = 10

Or,

If 3 is small (cubed) here, then

7+3√1

= 7+1 = 8

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) will be,

\(y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)\)

If this line passes through (-2, 3) and (-3, 4),

\(y-3=\frac{(4-3)}{(-3+2)}(x+2)\)

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

Answer:

A

Step-by-step explanation:

if you feel cold your body will tell your brain or give feedback to make you think or say its cold

Answer:

It will take them 3.5 hours to paint the room.

Step-by-step explanation:

Step 1: Add the number of hours it takes them together

    A. 6 + 8

Step 2: Divide the total number of hours by two (since two people are working together)

    B. 12 / 2 = 7 hours

Step 3: Divide by two again since you now have twice the speed

    C. 7 / 2 = 3.5 hours

Answer:

most likely C) 4.8 cm

Step-by-step explanation:

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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Answer:

B  Only (-3, 5)

Step-by-step explanation:

substitute the coordinates in the options into the given equation y = -3x - 4 and find if the equation is true:

A  4 = -3(-2) -4 => 4 = 6 - 4 => 4 ≠ 2 (false)

B  5 = -3(-3) - 4 => 5 = 9 - 4 => 5 = 5 (true)

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

a) first one

b) <

Step-by-step explanation:

I writed left, it's on first one

Answer:

-8 is to the left of 1

-8 < 1

Step-by-step explanation:

I attached an image

-8 is smaller, therefore it’s to the left

< means less than

-8 < 1 (-8 is less than 1)

Answer:

the answer is. C.i hope this helps sorry if im wrong

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Answer:

3.75 hours

Step-by-step explanation:

d = rt

where d is the distance, r is the rate and t is the time

45 = 12 t

Divide each side by 12

45/12 = t

3.75 hours = t

Answer:

There are 220 choices

Step-by-step explanation:

Given

\(People = 12\)

\(Selection =3\) (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

Where

\(n = 12\)

\(r= 3\)

So, we have:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

\(^{12}C_3 = \frac{12!}{(12 - 3)!3!}\)

\(^{12}C_3 = \frac{12!}{9!3!}\)

\(^{12}C_3 = \frac{12*11*10*9!}{9!3!}\)

\(^{12}C_3 = \frac{12*11*10}{3!}\)

\(^{12}C_3 = \frac{12*11*10}{3*2*1}\)

\(^{12}C_3 = \frac{12*11*10}{6}\)

\(^{12}C_3 = 2*11*10\)

\(^{12}C_3 = 220\ ways\)

There are 220 choices

Answer:

True

Step-by-step explanation:

Rhombus is a sideways SQUARE

Answer: True

if you turn a square 45 degrees to the side it is a rhombus

The mean average number of lates per student is given as follows:

8.3 lates per student.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The number of students in this problem is given as follows:

15 students.

We have a grouped frequency distribution, hence we consider each observation as the midpoint of each interval, thus the sum of the observations is given as follows:

S = 4 x 3 + 7 x 8 + 3 x 13 + 1 x 18

S = 125.

Then the mean number of lates per student is given as follows:

125/15 = 8.3 lates per student.

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