Determine the constant of variation for the direct variation given
2
1
1/2​

Answer:

1200$

Step-by-step explanation:

(840/(100-30))*100

(840/70)*100

12*100

1200

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]

Answer:

A -1 6/8

B -1 2/8

C -0.5

D 1

E 1 5/8

Step-by-step explanation:

Answer:

No, because 3(2) + 2 ≠ 12.

Step-by-step explanation:

An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,

Number of goals scored by Carrie = x

Number of goals scored by Kenny = 3x

Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,

Total score = Number of goals scored by Carrie +Number of goals scored by Kenny

12 = x + 3x

12 = 4x

x = 3

Further, the number of goals for the two can be written as,

Number of goals scored by Carrie = x = 3

Number of goals scored by Kenny = 3x = 3×3 = 9

Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.

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Step-by-step explanation:

2x + 3y =  6             3x = 15                    5 - 3y = 9

x   - 3y  = 9               x = 15/3 = 5            y = 9 - 5/-3 = -4/3

3x        = 15

Answer:

Step-by-step explanation:

x = 0.12613537

Answer: B

Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.

Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.

However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.

Answer:

B. If none of the input values are repeated, the relation is a function.

Step-by-step explanation:

Just took test on edge 2020

Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Option B falls inside of the line, keeping it proportional

Answer:B

Step-by-step explanation:

Answer: A: 384cm^3

Step-by-step explanation:

L•W•H=

Step-by-step explanation:

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29,32

Median:

Data Set A = 26

24 + 28 = 52

52/2 = 26

Data Set B = 23

21 + 25 = 46

46/2 = 23

Mean:

Data Set A = 25

14 + 21 + 24 + 28 + 28 + 35 = 150

150/6 = 25

Data Set B = 24

18 + 19 + 21 + 25 + 29 + 32 = 144

144/6 = 24

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

Answer:

B. 10

Step-by-step explanation:

The median is the middle number, so to find it, we must list the numbers from smallest to largest :

5, 5, 8, 11, 15, 21, 27, 34, 55

The median is 15

The mode is what number occurs most often, which is 5.

The difference will be found by subtracting 5 from 15:

15-5=10

Answer:

10

Step-by-step explanation: you have to find the median number and subtract by 5

5,5,8,11,15,21,27,5

also the median is middle number subtract by 5 because it want the difference number of electoral votes per state

15-5=10

its C not A because

For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Step-by-step explanation:

In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.

In this situation, 0.29 is the slope.

The slope is the ratio of the change in y to the change in x.

In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.

Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Answer:

Step-by-step explanation:

To complete the square, divide that 10 in the 10x by 2, then square that answer.

10/2 = 5

5^2 = 25

Add 25 to both sides

Answer:

work pictured and shown

Answer:

B

Step-by-step explanation:

This is the answer because a function cannot have an x-value that produces more than one y-value.

The equation is in slope-intercept form (y = mx + b), where F is y and C is x.

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

Answer: here's the answer

Answer:

Step-by-step explanation:

Let

( x1 , y1 ) =( 14 , 22)

( x2 , y2) = ( - 5 , 22)

Now the slope of line is given by

Slope(m)

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

= ( 22 - 22) / ( -5 - 14 )

= 0/-19

= 0

Hope this helps :)

Answer:

Vertex I think

Step-by-step explanation:

Answer:

The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.

DISTANCE FORMULA

The study of geometry in a graphical environment is called co-ordinate geometry.

In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.

Step-by-step explanation:

Answer:

Short answer: They are essentially the same thing.

The distance formula is derived from the Pythagorean Theorem

We have distance formula:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Pythagorean Theorem:

[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]

The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.

We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]

But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:

[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]

Answer:

51

Step-by-step explanation:

by linear pair

(2x+4)+(x+23)=180

2x+4+x+23=180

3×+27=180

3x=180-27

x=153/3

×=51

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180     {linear pair of angles}

3x + 27 = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51°

Answer:

loose sweets

Step-by-step explanation:

Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.

A better value would mean that the price is lower per gram.

pre-packed candies

120g ----- £1.49

1 ----- 1.49 ÷120= £0.0124 (3 s.f.)

loose sweets

100g ----- £0.89

1g ----- £0.89 ÷100= £0.0089

since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.

Answer:

The answer is negative four

Step-by-step explanation:

4x+1y=47 can be simplified to 4x+y=47.

To find the slope, we solve for Y.

Subtract 4x from both sides.

y=47-4x

Then, move it into standard slope formula, which is y=mx+b

y=-4x+47

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.