The table represents a linear function.

A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10.
What is the slope of the function?

–3
–2
3
4

Answer:

the red curve is a hyperbola

The x-intercepts from the graph are -3.646 and 1.646 with the parabolic curve facing upwards

Quadratic functions are functions that has a leading coefficient of 2.

According to the question, we are to graph the quadratic function f(x) = x^2 + 2x - 6. The curve will be parabolic in nature and facing upwards since it is a quadratic function.

The x-intercepts from the graph are -3.646 and 1.646 as shown in the attached graph.

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The function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

In this problem we have two functions related to each other because of the existence of rigid transformations. Rigid transformations are transformations applied to geometric loci such that Euclidean distance is conserved at every point of the geometric locus.

Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of horizontal translation 4 units in the + x direction:

f'(x) = - 2 · cos (x - 1 + 4) + 3

f'(x) = - 2 · cos (x + 3) + 3     (1)

Now we apply a reflection over the x-axis:

g(x) = - [- 2 · cos (x + 3) + 3]

g(x) = 2 · cos (x + 3) - 3

Therefore, the function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

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Verbal scale uses a representative fraction to describe the ratio between the map and the real world is a "true" statement.

A verbal scale is also known as a "word statement" or a "scale expression," and it is one of the possibilities for entering "scale text" in the ArcGIS software.

It is presented as a relationship between map distance and ground distance that is stated in common units that both parties can agree upon.

Uses of the verbal scale:

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The complete question is-

Verbal scale uses a representative fraction to describe the ratio between the map and the real world.(True/False).

Answer:

20 hrs

Step-by-step explanation:

growth per hour=5%

no of hrs to double=100/5=20

(it may be wrong)<3

The initial value is 37,036 dollars and in 4 years, the value will be 18,439.16 dollars.

Here we have an exponential decay that models the value of a car as time passes, the exponential decay is:

[tex]v(t) = 37,036*(0.84)^t[/tex]

The initial value is what we get when we evaluate in t = 0.

[tex]v(0) = 37,036*(0.84)^0 = 37,036[/tex]

The initial value is 37,036 dollars.

The value in 4 years is what we get when we evaluate in t = 4:

[tex]v(4) = 37,036*(0.84)^4 = 18,439.16[/tex]

In 4 years, the value will be 18,439.16 dollars.

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The surface area of the parallelpiped is equal to 800 square units.

The surface area of the parallelpiped seen in the picture is equal to the sum of the areas of its six faces, which are combination of areas of quadrilaterals and triangles. There are four parallelograms and two squares. Thus, the surface area of the solid is:

A = 2 · 8 · 20 + 2 · 7 · 20 + 2 · 10²

A = 800

The surface area of the parallelpiped is equal to 800 square units.

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The projection discussed are the isometric and the orthographic projection.

The isometric projection is how the object look to the eyes when seen from a distance. It should be noted that orthographic projection give the actual measurements of the object.

The isometric drawing is through 100% true measurement of the height, width, and the depth.

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The domain of the function will therefore be 0≤x<∞

Domain of a function are the independent value for which a function exists. Given the function below;

f(x) = [tex]\sqrt[4]{x}[/tex]

Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.

The domain of the function will therefore be 0≤x<∞

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Based on the total cost that Juan incurred to hire the roofer including the charge for parts and labor, the number of hours that was needed to complete the job was 14.50 hours.

The first thing to do is to find out the amount that went to labor:

= Final bill - cost of materials

= 1,131.5 - 450

= $681.50

Now that you have the cost of labor, you can find out the number of labor hours that were used based on the hourly rate:

= Cost of labor / Hourly rate

Solving gives:

= 681.50 / 47

= 14.5 hours

In conclusion, the number of labor hours that the roofer used to complete the work, based on the total amount charged to Juan is 14.50 hours.

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Step-by-step explanation:

1 ----> 22 times

2 ----> 16 times

3 ----> 26 times

4 ----> 29 times

5 ----> 1 times

6 ----> 6 times

so , total ----> 100 times

so , percentage of rolls 6 is :-

(6/100 ) × 100%

= 6%

Answer:

m∠1 = 51°

m∠2 = 16°        

Step-by-step explanation:

First ,check the attached photo.

=================

In the right triangle ABC :

m∠1 = 90 - 39

       = 51°

……………………

In the right triangle ABD :

m∠2 = 90 - 74

       = 16°

Answer:

• ∠ 1 = 51°

• ∠ 2 = 16°

Step-by-step explanation:

•  ∠ 1, the 39° angle, and the right angle marked in red are angles of a triangle.

∴  ∠ 1 + 90° + 39° = 180°             [Angles in a triangle add up to 180°]

⇒ ∠ 1 = 180° - 90° - 39°

⇒ ∠ 1 = 51°

• The small triangle on the top-left of the image consists of ∠ 2, a right-angle (marked in red) and a 74° angle.

∴  ∠ 2 + 90° + 74° = 180°            [Angles in a triangle add up to 180°]

⇒ ∠ 2 = 180° - 90° - 74°

⇒ ∠ 2 = 16°

Factorize the numerator and denominator. You'll see that they both have a factor of 4 that can be canceled. The introduce a factor of 3 to change the denominator to 36.

[tex]\dfrac{28}{48} = \dfrac{4\times7}{4\times12} = \dfrac7{12} = \dfrac{3\times7}{3\times12} = \boxed{\dfrac{21}{36}}[/tex]

The addition of the polynomials [tex]2x^3+4x-6[/tex] and [tex]3x^3-8x+7[/tex] in the proper location on the grid is [tex]5x^3-4x+1[/tex]

How to find the addition of two polynomials is proper location on the grid ?

Polynomials addition in proper location means add the coefficient of same power of variable

So the addition of polynomials like this

[tex]2x^3+4x-6+3x^3-8x+7[/tex]

[tex]2x^3+3x^3=5x^3\\4x-8x=-4x\\-6+7=1[/tex]

The addition of the polynomials is [tex]2x^3+4x-6+ 3x^3-8x+7=5x^3-4x+1[/tex]

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The surface area of the sphere is 324π square units

From the question, we are to calculate the surface area of the sphere

The surface area of a sphere can be calculated by using the formula

[tex]Surface \ area = 4 \pi r^{2}[/tex]

Where r is the radius of the sphere

In the given diagram,

r = 9

Thus,

Surface area = 4π × 9²

Surface area = 4π × 81

Surface area = 324π square units

Hence, the surface area of the sphere is 324π square units

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The solution to the inequality is (–2.5, ∞)

The inequality is given as:

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)

Open the brackets

15.3 + 11.22x > –14.25 – 10.2x - 24

Collect the like terms

11.22x + 10.2x > -15.3 - 14.25- 24

Evaluate the like terms

21.42x > -53.55

Divide both sides by 21.42

x > -2.5

This can also be represented as (–2.5, ∞)

Hence, the solution to the inequality is (–2.5, ∞)

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Answer:

c

Step-by-step explanation:

on edge

Answer:

0.53

Step-by-step explanation:

1 - 0.47 = 0.53

Answer: 0.53

Answer:

0.53 or 53%

Step-by-step explanation:

1 = 100%

1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.

If the marriage licenses  issued in 2001,2003,2006,2010 were 141000,133000,121000,141000 then by solving arithmetic progression we will get that the marriage licenses issued in 2008 were 113000.

Given that the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000.

We are required to find how many marriage licenses were issued in 2008.

Average difference between licenses issued from 2001 to 2003=

=133000-141000)/2

=-4000

Average difference between licenses issued from 2003 to 2006=

=(121000-133000)/3

=-12000/3

=-4000

Average difference between licenses issued from 2006 to 2010=

=(105000-121000)/4

=-16000/4

=-4000

It is an arithmetic progression because the difference between marriage issued from one year to another is equal.

An arithmetic progression is a sequence in which each terms are having equal difference between them.

Nth term=a+(n-1)d

8th term=141000+(8-1)*(-4000)

=141000+7*(-4000)

=141000-28000

=113000

Hence the marriage licenses issued in 2008 were 113000 which is

option A.

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The required equation based on the information given is y =0.433x + 24.493

It should be noted that one can simply copy and paste the data set into excel sheet

Then, use intercept and the slope formula to find slope and intercept. We will have

slope = SLOPE(y values, x values)

= 0.433

intercept = INTERCEPT(y values, x values)

= 24.493

Therefore, the required equation is y =0.433x + 24.493

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Answer:

our answer is X=2 or X= -1

Answer: C. {-1,2}
Correct on Edge 2023

Answer:

Diameter = 2 x Radius / The answer should be 6.

Step-by-step explanation:

D = 2 x 3

= 6

Answer:

Reuben will have to pay $19,183.77 when he starts to pay the loan off after 3 years.

Step-by-step explanation:

There are 3 important parts to this equation:

1) 16,902

2) 4.5%

3) 3 years

First, let's find the interest rate in decimal form. This is easy enough to do.

take the interest rate (4.5%) and divide by 100. You can do this in your head by moving the decimal point but I will just write it out for the example:

4.5/100 = 0.045

Now that we have that number. we want to get the dollar amount for the interest. this is done by taking the loan amount and multiplying it by the decimal form of the percentage:

16,902 * 0.045 = 760.59

Since the interest rate is NOT compounding the rest is simple.

760.59 * 3 = 2,281.77

2,281.77 + 16902 = 19,183.77

Hope this helps.

The meaning of the equation x=1 is that the numerical value of variable X is; 1.

It follows from the task content that the mathematical meaning of the equation x=1 be explained.

By virtue of the equality sign, it follows that the numerical value of variable x is 1 and hence, 1 can be substituted for variable x in any mathematical expression within the context of discuss.

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The area of the triangle is 4 units²

The area of a triangle is the half the base multiplied with the height of that triangle

Area = 1/ 2 × b × h

From the figure given,

base = 7 - 3 = 4 units

height = 4 - 2 = 2 units

Area = 1/ 2 × 4 × 2

Area = 1/ 2 × 8

Area = 4 units²

Thus, the area of the triangle is 4 units²

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The percent increase to the nearest tenth is 22.2%

Percent increase is the percent it takes from a value to change from its initial value

Given the following

Initial value = 558,000

Final value = 718,000.

Determine the percent increase

% increase = (718,000-558000)/718,000 * 100

% increase = 160000/718000 * 100

% increase = 22.2%

Hence the percent increase to the nearest tenth is 22.2%

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It is false to state that " If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change."

A/B testing compares two variations of a website element, often by evaluating users' responses to variant A vs. variant B and determining which of the two variants is more successful.

When the variation seems to be equal, then another factor must be introduced into the metric analysis that helps to make the testing objective.

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Answer:

x=7 y=3

Step-by-step explanation:

-x+6y=11

2x-3y=5

-2x+12y=22

2x-3y=5

Add both equations

-2x+2x-3y+12=22+5

9y=27

y=3

plug y back in

-x+18=11

-x=-7

x=7