two variables that move in opposite directions are: a. said to have a positive correlation. b. called independent variables. c. said to have zero correlation. d. said to be inversely related.

After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.

Given the equation is  f(x) =x³₋(k₊3) x²₊3x

also we know that the f(x) is an odd function, then by definition we write

f(₋x) = ₋f(x)

f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)

= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x

₋kx² ₋ 3x² = kx² ₊ 3x²

2kx² ₊ 6x² = 0

2k + 6 = 0

k = -3

Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that

(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]

Hence the value of k is ₋3 and the function is an odd function.

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Your Question is incomplete. Please find the missing content here.

If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?

Answer:

The coordinates of the fourth vertex are (8,5)

Step-by-step explanation:

We need to take note that a rectangle is a shape that has 4 sides, with two of them of equal length.

It will also help if we can visualize the points on the graph.

We are given the location of three of the four vertices. These are (6,3), (6,5) ,and (8,3). Let the 4th Vertice be (x,y)

The length of the triangle can be obtained by subtracting the y-coordinates of the vertices.

(6,3) - (6,5)

This will be +3 and +5

5-3 =2

Therefore, the length of the triangle is 2 units on the left side.

Recall that the length of the left side has to be equal to the length of the right side.

Therefore

y-3 =2

y = 5

We will repeat the same process to get the x-coordinate from the breadth

Breadth = 8-6 =2

x-6 =2

x=8

Hence the x = 8

Therefore, the coordinates of the fourth vertex are (8,5)

Answer:

HG

Step-by-step explanation:

Where they meet another line at a 90 degree angle.

The segment that is perpendicular to segment AH in the given cube is: HG.

When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.

In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.

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Explanation:

Preimage = A = (10, 15)

Image = A' = (4, 6)

Divide the x coordinates of the image over preimage

4/10 = 0.4 is the scale factor

Or you could do the same for the y coordinates

6/15 = 0.4

Answer:

Step-by-step explanation:

It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.

Let 'x' be the number

Decreasing twice the number 'x' by 4 = 2x-4

Now,

Given the input x = 5

As the output will decrease twice the input (x=5) by 4

Thus, the output = 2(5)-4 = 10-4 = 6

Therefore,

Answer:

the answer is 4 it think it is correct

Answer:

4

Step-by-step explanation:

42/12=7/2

85/25=17/5

117/30=39/10

So

7/2-17/5+39/10

35-34+39/10

40/10

4

Answer:

Step-by-step explanation:

If the variables x and y vary inversely, this is expressed as;

x ∝ 1/y

x = k/y

k is the constant of proportionality

Given;

x = 7/2 and y = 3/5

Substitute;

7/2 =k/(3/5)

Cross multiply

k = 7/2 * 3/5

k = 21/10

Substitute the value of k into the formula;

x = k/y

x = (21/10)/y

x = 21/10 * 1/y

x = 21/10y

Hence the equation relating x and y is x = 21/10y

Answer:

y = 2x - 3

i just know this is correct, so trust me :)

Answer:

V≈20.94

Step-by-step explanation:

The formula for solving the volume of a cone is V=πr^2(h/3).

Hope this helps and I hope u have an Amazing day!!

Answer:

82.5

Step-by-step explanation:

3/2 = 1.5

81+1.5=82.5

Answer:

Step-by-step explanation:

We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.

Answer:

D.) x = 5.29

Step-by-step explanation:

first find the last angle measure 180-90-54=36

use law of sines to find x

sin90/9=sin36/x

(sin90)(x) = (sin36)(9)

(sin90)(x) = 5.29

x = 5.29

Given:

The figure.

To find:

The value of a.

Solution:

We know that, in a right angled triangle

[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]

Multiply both sides by a.

[tex]\tan (38^\circ)\times a=6[/tex]

Divide both sides by [tex]\tan (38^\circ)[/tex]

[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]

The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].

Therefore, the correct option is b.

Answer:

[tex]m = -2[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Points: (-2, 8), (1, 2)

[tex]m = \frac{8-2}{-2-1}[/tex]

[tex]m = -2[/tex]

The polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.

Polynomials are algebraic expressions that consist of variables and coefficients where arithmetic operations can be performed.

A polynomial is expanded if no variable appears within parentheses and all like terms have been combined.

To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations.  Then combine all like terms.

Expanding each of the options provided using FOIL method:

a) (3x+2i)(3x-2i)

= 9x^2 - 2ix + 2ix - 4i^2

= 9x^2 - 4i^2            *(i^2 = -1) note that i is an imaginary number and i squared is equal to -1

= 9x^2 - 4(-1)

= 9x^2 + 4

b) (3x+2)(3x-2)

= 9x^2 + 6x - 6x - 4

= 9x^2 - 4

c) (3x + 2i)^2

= 9x^2 + 6ix + 6ix + 4i^2          *(i^2 = -1)

= 9x^2 + 12ix - 4

d) (3x + 2)^2

= 9x^2 + 6x + 6x + 4

= 9x^2 + 12x + 4

Hence, the polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.

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The answer is the second choice.

There cannot be repetitive domains in one set. Therefore, all choices except the second choice have repetitive domains.

Thus, not making them a function but rather a relation instead for other choices. The only relation that is a function here is the second choice.

the second one because the x values should not have repeating numbers

Answer:

y  = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

-6y + 4x = 8  Subtract 4x from both sides of the equation

-6y = -4x + 8  Divide everything by -6

y  = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]

Answer:

40%

Step-by-step explanation:

To find the percentage difference between the families with 2 dogs and the families with no dogs, we need to find their difference first.

Difference = 45 - 27

                  = 18

Now that we know the difference, we just have to put the difference over the total as a fraction and multiply by 100%.

Percentage difference = [tex]\frac{18}{45}[/tex] × 100%

                                      = 40%

Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute

Step-by-step explanation:

Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.

For that same reason, option B is wrong as well. 2 > 3/8.

1/2 > 3/8 so Option C is wrong for the same reason as the options above.

To test option D;

If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.

Assume the much she can type is x;

3/8 : 1

x    : 2/3

1x = 3/8 * 2/3

x = 1/4

Option D is therefore correct.

7/200 as a decimal is 0.035

Simply divide the numerator by the denominator:

= 7/200

= 7 ÷ 200

= 0.035

Answer:

0.07  0.77  0.77  0.707  0.777  

Step-by-step explanation:

I think

Answer:

D. 5cm

Step-by-step explanation:

QS/AC=6/60=1/10

QR/AB=QR/50=1/10

QR=5

SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)

Answer:

QR = 5

Step-by-step explanation:

It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.

[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]

AB = 50 ; AC = 60 ; QS = 6

From the above proportion ,

[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]

Putting all the values ,

[tex] \frac{50}{QR} = \frac{60}{6} [/tex]

[tex] = > \frac{50}{QR} = 10[/tex]

[tex] = > QR = \frac{50}{10} = 5[/tex]

Answer:

d=[tex]\frac{-9}{13}[/tex]

Step-by-step explanation:

Original equation: 13d+8=-1

1. Subtract 8 from both sides of the equation to get:

13d=-9

2. Divide both sides by 13 to get:

d=[tex]\frac{-9}{13}[/tex]

Answer:

-9/13

Step-by-step explanation:

i took the iready quiz

Answer:

$162.50

Step-by-step explanation:

X = (14.50*5) + (18*5)

x = 72.50 + 90

x = 162.50

Based on the given equation of b -4/6=b/2, the value of the variable b, can be found to be -2

The variable can be found by solving the equation through the operations of mathematics.

First, cross-multiply:

b -4/6 = b/2

b - 4 = 6b / 2

After cross-multiplying, collect like terms:

b - 4 = 3b

b - 3b = 4

-2b = 4

b = 4 / -2

b = -2

In conclusion, the variable is -2.

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Answer:

1.2 please tell me if im wrong

Step-by-step explanation:

Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so

x + y = 32

In terms of value, there is a total of $220. The equation for it is

5x + 10y = 220

The 2 equations which best represent the scenario are

x + y = 32 (I)

5x + 10y = 220 (II)

To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is

1) Multiply (I) by -5:

-5x - 5y = -160 (III)

2) Add equation (III) to equation (II):

-5x - 5y = -160

5x + 10y = 220

0x + 5y = 60 (IV)

3) Solve equation (IV)

5y = 60

y = 12

4) Replace value of y in equation (I) and find value of x:

x + 12 = 32

x = 20

In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.

Answer: x=20 and y=12

Step-by-step explanation:

Hanna have to walk her bike for 1/12 mile to complete the loop .

In the question , it is given that

distance Hanna had to ride to complete the loop  = 11/12 mile

distance rode by Hanna before rest = 1/2 mile

distance rode by Hanna before flat tire = 1/3 mile

So the distance Hanna has to walk her bike to complete the loop = total distance of the loop - distance rode by Hanna before rest - distance rode by Hanna before flat tire .

On substituting the values from above we get ,

distance Hanna has to walk her bike to complete the loop = 11/12 - 1/2 - 1/3

taking the LCM of 12 , 2 and 3 as 12

we get ,

= 11/12 - 6/12 - 4/12

Simplifying further we get ,

= (11-6-4)/12

= (11-10)/12

= 1/12

Therefore , the distance Hanna have to walk her bike to complete the loop is 1/12 mile .

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