what type of function is shown on the table below​

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

\(a = \dfrac{-2}{b+3c}\)

Answer:

The next number selected should be between 2 and 3 .

Step-by-step explanation:

x. x    f(x)             g(x)

0        10               17

1           11              19

2          14              21

3          19              23

4         26             25

3.5      22.25        24

2.5      16.25         22

1.5       12.25        20

0.5       10.25       18

We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.

So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5

Now it is moving in the reverse direction in the same pattern  with a difference of a unit.

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

5

Step-by-step explanation:

AB as the opposite side of the triangle

BC as the adjacent of the triangle.

sin30°= AB/10

AB = 10sin(30°)

AB = 5

Answer:

  73/39

Step-by-step explanation:

The slope of the given line is the coefficient of x in the given equation, which we recognize as being in slope-intercept form.

The slope of the perpendicular line will be the opposite reciprocal of this:

  -1/(-39/73) = 73/39 . . . . slope of the perpendicular line

Answer:

The answer is 0

Step-by-step explanation:

I hope this helps!

Answer:

me too (help)

Step-by-step explanation:

27 cm

Explanation

let x represents the missing side.

the area of a triangle is given by:

then

Let

base=27 cm

Area=364.5 square cm

heigth=x

replace,

Hence, the heifht is 27 cm

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

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).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

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Answer:

42 blue beads

Step-by-step explanation:

Solution:

Let's suppose the numbers as 13x, 7x and 4x respectively..

Where,

Orange = 13x

Blue = 7x

White = 4x

According to the question,

13x - 4x = 54

or, 9x = 54

or, x = 54/9

or, x= 6

Now,

Blue beads = 7x

= 7 × 6

= 42..

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Answer: 30(x-5)

Explanation:

$30 per overtime hours,

30*(x-5)

Answer:

The answer is 3 feet.

Step-by-step explanation:

First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!

Answer:

3 feet

Step-by-step explanation:

To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:

2w + 1, and this is equal to the height, so

2w + 1 = h

Now, we are given the height is 7. We substitute 7 where the height, h, is.

2w + 1 = 7

We can subtract 1 from both sides and divide by 2 to isolate x:

2w + 1 = 7

      -1     -1

2w = 6

w = 3 - the width is 3 feet

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  [D] improper fractions

Step-by-step explanation:

The usual recommendation for doing much of anything with mixed numbers is to change them to improper fractions.

__

However, that isn't always necessary. If you're doing the arithmetic with a calculator, it can be helpful to convert them to decimal numbers.* Sometimes, you can work with mixed numbers by working with the integer and fractional parts separately.

Sometimes a simple rewrite makes working with mixed numbers easier. (That is, converting part of the integer portion to a fraction may be useful in some cases.

Example:

  (29 1/3) × (1/2) = (28 4/3) × (1/2) = 14 2/3

_____

* Some calculators will do arithmetic directly with mixed numbers and/or fractions. If yours doesn't, it can be helpful to memorize the decimal equivalents of a few common fractions: 1/3, 2/3, 1/6, 1/7, 1/9, 1/11 for example. This will help you convert the decimal result back to a mixed number.

The final score of Sarah in the gaming competition will be equal to -90 points.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Given that Sarah's final score in a gaming competition was 570 points lower than Steven's final score, when Steven's final score was 480 points. This can be represented by an algebraic expression .

Let's assume that Sarah's final score was x points. Let's subtract 570 from score of Steven , and the value will be :

x = 480 - 570

So , the final score of Sarah will be equal to :

x = -90 points.

Therefore , the final score of Sarah in the gaming competition will be equal to -90 points.

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x≤-2 or 1<x<2

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

a. 95%

Step-by-step explanation:

We solve this question, using z score formula.

Z score formula = (x - μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is number of samples

For z1, where x1 = 460, μ = 500, σ = 20, n = 140

z score formula = (460 - 500)/ 20

= -40/20

= -2

We find the probability of the z score using the z score table.

P(x = 460) = P(z = -2)

= 0.02275

For z2, where x2 = 540, μ = 500, σ = 20

z score formula = (540 - 500)/20

= 40/20

= 2

We find the probability of the z score using the z score table.

P(x = 540) = P(z = 2)

= 0.97725

The probability that the cargo containers will weigh between 460 pounds and 540 pounds is calculated as:

= 460 < x < 540

= P(z = 2) - P(z = -2)

= 0.97725 - 0.02275

= 0.9545

Converting to percentage

0.9545 × 100

= 95.45%

Therefore,the percentage of the cargo containers will weigh between 460 pounds and 540 pounds is 95%

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

Answer:

44.5x - 13

Step-by-step explanation:

Combine like term.

The slope of the straight line in the graph that expresses proportional relationship indicates that the lines in the graph that have a slope greater  than 1 but less than 2 are;

The slope of the graph of a straight line is the ratio of the rise to the run on the line.

The slope of a graph with a slope of 1 has an increase in the y-value of 1 for each increase in the x-value of 1

Slope = 1 = Δy/Δx

When the slope is greater than 1, we get;

Δy/Δx > 1, therefore Δy is larger than 1 when Δx is 1.

Similarly, the slope of a graph with a slope of 2 has an increase in the y-value of 2 for each increase in the x-value of 1

Slope = 2 = Δy/Δx

When the slope is less than 1, we get;

Δy/Δx < 2, therefore Δy is less than 2 when Δx is

The lines in the graph that have a slope greater than 1 but less than 2 are therefore the graphs with the coordinates;

Line 3; (0, 0), (4, 6); Slope = 6/4 = 3/2, therefore; 1 < slope = 3/2 < 2

Line 4; (0, 0), (5, 6); Slope = 6/5, therefore; 1 < Slope < 2

The line 5 has a slope of 1, and the line 1, has a slope of 3, line 2 has a slope of 2

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Answer:

I hope this helps!

Answer:

F=3

n= -16

h= -10

z =7.5

x=54

v= -12

d= -416÷25

w= -27.6

t= -5

w= 43

The area of this rectangular walk is 390\(ft^{2}\)

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.

Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390\(ft^{2}\)

In conclusion the area of the walk is 390\(ft^{2}\)

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Answer:

We did this by substituting the slope and point values into the equation

y

=

m

x

+

b

and then solving the equation for b.

We will now show you how you can use either use the slope and a point or just two points to define the equation of the line using point-slope form:

y

−

y

1

=

m

(

x

−

x

1

)

This is an important formula, as it will be used in other algebra courses and often in calculus to find the equation of a tangent line. We need only one point and the slope of the line to use the formula. After substituting the slope and the coordinates of one point into the formula, we can simplify it and then write the equation in slope-intercept form.

POINT-SLOPE FORM

Given a point

(

x

1

,

y

1

)

and slope m, point-slope form will give the following equation of a line:

y

−

y

1

=

m

(

x

−

x

1

)

Now that we know both the slope-intercept form and the point-slope for linear equations, when we are asked to find an equation for a linear function, we can choose which method to use based on the information we are given and our personal preferences. The information provided may be in the form of a graph, a point and a slope, two points, and so on. Let’s look at the graph of the function f below and determine its equation.

The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

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

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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