What is the pattern here?
1, 3, 9, 27, 81, 243

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Answer:

a. [tex]5 + (-3x) = -4[/tex]

b. [tex]5 + (-3x) = 4[/tex]

c. [tex]5 + (-3x) = 14[/tex]

Step-by-step explanation:

Given

[tex]5 + (-3x)[/tex]

Required

Evaluate

(a) x = 3

[tex]5 + (-3x) = 5 + (-3*3)[/tex]

[tex]5 + (-3x) = 5 + (-9)[/tex]

Remove bracket

[tex]5 + (-3x) = 5 -9[/tex]

[tex]5 + (-3x) = -4[/tex]

(b) x = 1/3

[tex]5 + (-3x) = 5 + (-3*1/3)[/tex]

[tex]5 + (-3x) = 5 + (-1)[/tex]

Remove bracket

[tex]5 + (-3x) = 5 -1[/tex]

[tex]5 + (-3x) = 4[/tex]

(c) x = -3

[tex]5 + (-3x) = 5 + (-3*-3)[/tex]

[tex]5 + (-3x) = 5 + (9)[/tex]

[tex]5 + (-3x) = 14[/tex]

Answer:

A statistic is a number that represents a property of the sample. For example, if we consider one math class to be a sample of the population of all math classes, then the average number of points earned by students in that one math class at the end of the term is an example of a statistic

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of a circle = πr² = 201.062

r² =   201.062/π

r = √(201.062/π) ≅8 cm

d = 16 cm

Answer:

Radius =8

Diamter = 16

That's the answer

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Answer:

We have to move horizontally. As Y is the vertical axis and x is the horizontal axis. If we need to increase the value of x coordinate we need to move horizontally.

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

1.(2,-1)

2.[tex]y=(x+1)^{2} +2[/tex]

3.[tex]y=(x-3)^{2} +1[/tex]

Step-by-step explanation:

Answer:

$15.49

Step-by-step explanation:

14.48 x 0.07 = 1.0136

1.0136 + 14.48 = 15.4936 = 15.49

Answer:

2:12 or 1:6

Step-by-step explanation:

there are 12 students. you and your friend are 2 of the 12. so it would be a 2:12 chance that you or your friend would get picked. unless if you simplify which then it would be a 1:6 chance that either of you would get picked.

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

Answer:

the answer is that the carbon-14 is approximately 2600 years old

Answer:

14.1509717

Step-by-step explanation:

c²-b² = a²

19.5²-6² = a²

a²-12²= x² = 200.25

square root 200.25

X = 14.1509717

Answer:

[tex]40x^6y^4\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

covert to slope intercept form

x-y=2

-y=-x+2

y=x-2

Answer: C

Step-by-step explanation:

Answer:

7.79

Step-by-step explanation:

Answer:

John had $7.79 when he got home

Step-by-step explanation:

8.43 + 0.25-0.89

Hope this helps :)

(11x - 2) + (6x + 7) = 90

17x + 5 = 90

17x = 85

x = 5

11(5) - 2 = 55 - 2 = 53

6(5) + 7 = 30 + 7 = 37

53º and 37º

Hope this helps! :)

The measures of two acute angles are 53 degrees and 37 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is a right angle triangle.

The sum of two acute angles is equal to a right angle

(11x - 2) + (6x + 7) = 90

Add the variable terms and constants

17x + 5 = 90

Subtract 5 on both sides

17x = 85

Divide both sides by 17

x = 5

So 11(5) - 2 = 55 - 2 = 53

and 6(5) + 7 = 30 + 7 = 37

Hence, the measures of two acute angles are 53 degrees and 37 degrees.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Answer:

65 square units

Step-by-step explanation:

The area of a triangle is: height times base divided by two.

So the area of one of the triangles is 10 square units.

multiply this times 4 to get the total area of the triangles

then add the area of the square which is 5 times 5

25 plus 40 = 65 square units

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Step-by-step explanation:

The plant Cuscuta derives its nutrition from the host plant by sending its root-like structures into the stem or roots of the host plant to absorb water, mineral salts and food from it. This type of nutrition is known as Parasitic Nutrition.

Answer:

The plant Cuscuta derives its nutrition from the host plant by sending its root-like structures into the stem or roots of the host plant to absorb water, mineral salts and food from it. This type of nutrition is known as Parasitic Nutrition.

Answer:

(x, y) = (-6, 2)

Did this a while ago

Answer:

3.9

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

640*4%

Answer:

the commsion is $25.60

Step-by-step explanation:

commission amount = sale price * commission percentage / 100.

Answer:

I believe it is D, 5.

Step-by-step explanation:

Answer:

y=5x+2

Step-by-step explanation: