Which is the graph of g(x)?
Which graph

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

The polynomial of specified degree is 2x²-8x²+6

Before attempting to answer a polynomial problem, write it out in standard form. Factor it, then when each variable factor reaches zero, set them all to zero. The answers to the derived equations are the solutions to the original equations. Polynomial equations are not always amenable to factoring as a solution.

Polynomials are the sums of terms of the form kxn, where k is any number and n is a positive integer. a description of polynomials, such the polynomial 3x+2x-5. This video covers the ideas of degree, standard form, monomial, binomial, and trinomial.

If √3 is a root

so is -√3

thus, the polynomial is c(x-1)(x+1)(x-√3)(x+√3) = c(x²-1)(x²-3) = c(x⁴-4x²+3)

As the constant term is 6, 3c = 6, so c = 2

2(x4-4x2+3) = 2x⁴-8x²+6

Hence The polynomial of specified degree is 2x²-8x²+6

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The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

Based on the given conditions.

Therefore,

The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.

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QUESTION A

To find the cost of making 300 minutes of calls, we can trace the graph from where the x-axis is 300 to the graph and then get the value on the y-axis. This is shown below:

Therefore, the cost of the plans are:

Therefore, PLAN B costs less.

The difference between the two plans will be:

Therefore, Plan B costs $4 less than Plan A.

QUESTION B

Both plans cost the same at the point where the two graphs intercept. Checking the graph, this occurs when:

Therefore, the number of minutes that both plans cost the same is 250 MINUTES.

Plan B has a constant price of $20, regardless of the number of minutes used. However, Plan A is variable. The cost of Plan A only exceeds $20 after 250 minutes.

Therefore, before this time, PLAN B costs more.

4. The cube of 4 in expanded form is: 4 × 4 × 4 = 64.

5. Four times three is not the same thing as cube of a number, but rather 4 × 3 = 12.

The cube of a number means the number multiplied by itself three times. With the knowledge of this, we can write the cube of any number in expanded form.

For example, given a number y, the cube of y is = y³

This means that y multiplied by itself three times, which can be written in expanded form as: y × y × y = y³

If y is 2, the cube of 2 would mean: 2³ = 2 × 2 × 2 = 8.

Therefore:

4. Four cubed is 4³

In expanded form, it is: 4 × 4 × 4, which is evaluated as = 64.

5. Four times 3 in numbers is: 4 × 3, which is evaluated as = 12.

Our answer in #5 is different from our answer in #4 because cube of 4 is 4 times itself in 3 places.

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Answer:

51°

Step-by-step explanation:

Answer: 12.5%

Step-by-step explanation:

Actual measurement of the window = 24 inches

Measured measurement of the window = 27 inches

We need to find the Rivers percent error. It can be calculated as follows :

% = (|actual value-measured value|)/actual value × 100

% [tex]=\frac{27-24}{24} \times 100\\\\[/tex]

%= 12.5%

So, River's percent error is 12.5%.

Answer:

see my picture, bro. hope it can help

Answer:

x = 15

y = 50

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

The angles (8x + 10)° and y° form a linear pair.  

Therefore, equate the sum of these angles to 180° and isolate y:

⇒ (8x + 10)° + y° = 180°

⇒ 8x + 10 + y = 180

⇒ 8x + 10 + y - 10 = 180 - 10

⇒ 8x + y = 170

⇒ 8x + y - 8x = 170 - 8x

⇒ y = 170 - 8x

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

The angles y° and (3x + 5)° are corresponding angles and are therefore congruent:  

⇒ y° = (3x + 5)°

⇒ y = 3x + 5

Substitute the second equation for y into the first equation for y and solve for x:

⇒ 3x + 5 = 170 - 8x

⇒ 3x + 5 + 8x = 170 - 8x + 8x

⇒ 11x + 5 = 170

⇒ 11x + 5 - 5 = 170 - 5

⇒ 11x = 165

⇒ 11x ÷ 11 = 165 ÷ 11

⇒ x = 15

Substitute the found value of x into one of the expression for y and solve for y:

⇒ y = 170 - 8x

⇒ y = 170 - 8(15)

⇒ y = 170 - 120

⇒ y = 50

Final solution:

trapezoid is moved through the

translation (x+3, y-2)

So we add 3 to x and then subtrack -2 to y

Answer:

d ≈ 10.8 feet

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( where d is the diameter )

given C = 34 , then

πd = 34 ( divide both sides by d )

d ≈ 10.8 feet ( to 1 dec. place )

Answer:

The diameter of circle is 10.82 feet.

Step-by-step explanation:

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

Where

Finding the radius of circle by substituting all the given values in the formula :

[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \pi r}[/tex]

[tex]\longrightarrow\sf{34 = 2 \times 3.14 \times r}[/tex]

[tex]\longrightarrow\sf{34 = 6.28 \times r}[/tex]

[tex]\longrightarrow\sf{ r = \dfrac{34}{6.28}}[/tex]

[tex]\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}[/tex]

Hence the radius of circle is 5.41 feet

[tex]\begin{gathered} \end{gathered}[/tex]

Now, calculating the diameter of circle by substituting the given value in the formula :

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2 \times r}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 2 \times 5.14}[/tex]

[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 10.82}[/tex]

Hence, the diameter of circle is 10.82 feet.

The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.

Consider the quadratic equation,

x² - 20x + 33 = 0

Comparing the equation with general form of quadratic equation ax² + bx + c = 0

We have,

a = 1, b = - 20, and c = 33

x² - 20 x +33 =0

x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0

By using the identity ( a - b )² = a² - 2ab + b²

( x - 10)² -100 +33 =0

( x - 10)² - 67 =0

( x - 10)² = 67

Hence, the complete square:

( x - 10 )² = 67

x - 10  = ± √67

x - 10 = ± 8.1853

So,

x - 10 = 8.2

x = 10 + 8.2

x = 18.2

And;

x - 10 = - 8.2

x = 10 - 8.2 = 1.8

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The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.

The height of eagle after 7 seconds is 668 feet.

Given that:-

Height of nest = 1284 feet

Speed of the bald eagle = 88 feet/second

Hence, we can write, after s seconds,

Height of eagle after s seconds =  height of the nest - Time (in seconds) * Speed of the eagle

Hence,

h(s) = 1284 - s*88

h(s) = 1284 - 88s.

From the above equation, we can find the height of the eagle after 7 seconds.

h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.

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The height of the tree is 15 feet. Option C

Proportion can simply be defined as an arithmetic comparison between two quantities, numbers or elements.

It is also described as an equation where two given ratios are made equal or equivalent to each other.

From the information given, we have that;

To determine the height of the tree 'x', we have;

If 5 feet = 8 feet long shadow

Then x feet = 24 feet long

cross multiply

8 × x =  24 × 5

Multiply through

8x = 120

Divide both sides by 8, we have;

x = 120/8

x = 15 feet

Hence, the height is 15 feet

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Answer:

2/7

Step-by-step explanation:

First off you would want to get rid of the negative because a negative times a negative equal a positive making the -2/3 and -6/7 a positive then you would want to cancel out the greatest common factor of 2 making the equation now 1/3 x 6/7 then you'll want to cancel out the greatest common factor of 3 by dividing 3 by 3 and 6 by 3 making it 1/1 x 2/7 and then after you multiply you get your answer of 2/7

Answer:

4/-18 or 2/-9

Step-by-step explanation:

The slope of a straight line is a number that indicates how steep the line is. You can calculate the slope of a line by dividing the vertical change, called the rise, by the horizontal change, called the run, between two distinct points on the line.

Slope = change in y divided by change in x or rise divided by run

6 - 2 = 4

-12 - 6 = -18

Answer would be 4/-18

Answer: 1.90129068E57

Step-by-step explanation:

Answer:1.9012907e+57

Step-by-step explanation:

Recall that the angles can be named:

1) The same as the vertex.

2) With 3 points being the middle point the vertex.

3) A symbol is placed at the angle.

Answer:

1) NML, M, and 3.

2) HGF, G, and 9.

Depreciation expense is  $20,121  in equation .

What is Depreciation expense?

Additional to retained earnings                =  5,900

Add : dividends paid                                  =  2,040

Net income                                                 = $7940

Tax                                                              =  22%

Before tax income 97940 -/( 1 - 0.22)       =  $10179.48

Add : Interest expense                              =   $4600

operating income                                      =                            $14,779.48      

Sales                                                            =  $66,000    

Less : costs                                                = $31,100

Gross profit                                                  =                             $34,900

Depreciation expense                                =                              $20,121

(34,900 - 14,779.48)

Depreciation expense is    $20,121 .

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Part b.

In this case, the money is compounded quarterly, this means that n=4 (4 times per year). So, by substrituting the given values into the compound interes formula, wer have

which gives:

Answer:

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

Step-by-step explanation:

You can try factoring the numerator and denominator.

[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} [/tex]

Nothing cancels out, so the expression is simplified as given.

Answer: [tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]

The unknown angles of the diagram is as follows;

The missing angles of the diagram can be found as follows:

The sum of angles in a triangle is 180 degrees.

Therefore,

32 + 128 + b = 180

160 + b = 180

b = 180 - 160

b = 20°

Therefore,

a = 32°(alternate angles)

Alternate angles are congruent.

180 - a - b = c (sum of angles on a straight line)

180 - 32 - 20 = c

c = 180 - 32 - 20

c = 128°

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Answer: 4902.8

Step-by-step explanation: take 8892 subtract 18% from it then do that again with the number you got from subtracting 18% from 8892 and so on and so fourth just do it one more time and you get 4902.76 which now you round it to the nearest tenth and that equals 4902.8.

Answer:

12 video games

Step-by-step explanation:

[tex]6.8 {v}^{2} = 979.20[/tex]

[tex] {v}^{2} = 144[/tex]

[tex]v = 12[/tex]

Answer:

(6, 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (10, 10 ) and (x₂, y₂ ) = (2, 6 ) , then

midpoint = ( [tex]\frac{10+2}{2}[/tex] , [tex]\frac{10+6}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex] , [tex]\frac{16}{2}[/tex] ) = (6, 8 )