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Alinara [238K]
1 year ago
7

15. Which rule was used to create the arithmetic sequence below?

Mathematics
1 answer:
Nikolay [14]1 year ago
4 0

The rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)

The arithmetic sequence is

-2, -4, -6, -8,...

The initial term = -2

The common difference = The second term - The first term

= -4 - (-2)

= -4 + 2

= -2

The nth term of the arithmetic sequence is

an = a+ (n-1) d

Where a is the initial term

an is the nth term

d is the common difference

Substitute the values in the equation

an = -2 + (n-1)(-2)

Rearrange the terms

an = -2 -2(n-1)

Hence, the rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)

Learn more about arithmetic sequence here

brainly.com/question/12108818

#SPJ1

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the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit
Sati [7]

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = \frac{-4}{-2} --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2


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3 years ago
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ANSWER PLS! DUE TODAY!!!
makvit [3.9K]

Answer:

Step-by-step explanation:

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3 years ago
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1- El area de un cuadrado es igual a 8 veces la medida de su lado ¿ Cuánto mide por lado el cuadrado?​
Papessa [141]
El área de un cuadrado es igual a 8 veces la medida de su lado. ¿Cuánto mide por lado el cuadrado ?

El Area de un Cuadrado es : A = L²

L² = 8 x L -------------> L² / L = 8 ----------> L = 8

Cada lado mide 8 unidades.

2) El triple del área de un cuadrado menos seis veces la medida de su lado es igual a cero ¿Cuánto mide por lado el cuadrado?

El Area de un Cuadrado es : A = L²

(3 x L²) - 6 L = 0

Factorizando : 3L ( L - 2 ) = 0 --------> L = 0 ; L = 2

Cada lado mide 2 unidades.
3 0
3 years ago
What is the area of this triangle ?!
fomenos

Answer:

35.

Step-by-step explanation:

To find the area, multiply the length and the width.

A = L x W

7 x 5 = 35

6 0
3 years ago
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Really need help with this .
lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

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