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3 years ago

Determine if the sequence is algebraic or geometric, and find the common difference or ratio.

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Answer:

Algebraic, common difference = −9

Step-by-step explanation:

The first term of the series is 81, the second term is 72, the third term is 63 and the fourth term is 54.

So, the value of the terms decreases as the number of terms increases and this decrease in value is common and it is 9.

Therefore, the series is Algebraic series and the common difference is - 9. (Answer)

antiseptic1488 [7]3 years ago

8 0

Answer:

Algebraic,Common difference -9

Step-by-step explanation:

hope I helped!!!!!

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katovenus [111]

Answer:

x = $\frac{7+\sqrt{47}\times i }{4}$

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

x + 2y = 6 ---------------(1)

y - 5 = $(x-2)^{2}$ ---------------(2)

y = $(x-2)^{2}$ + 5 ---------------(3)

Substitute (3) in (1) ,

x + 2( $(x-2)^{2}$ + 5 ) = 6

$(a + b)^{2}$ = $a^{2} + 2ab + b^{2}$

x + 2( $x^{2} - 4x + 4$ + 5 ) = 6

$2x^{2} - 7x + 12=0$ --------------(4)

The roots of the quadratic equation $ax^{2} +bx+c$ is

x = $\frac{(-b) + \sqrt{(-b)^{2}-4 \times ac } }{2 \times a}$ -----------(5)

According to equation (5),solution of (4) is

x = $\frac{7 + \sqrt{(-7)^{2}-4 \times 24 } }{2 \times 2}$

x = $\frac{7+\sqrt{49-96}}{4}$

x = $\frac{7+\sqrt{47}\times i }{4}$

4 0

4 years ago

i keel asking for the dang answer why wont anyone tell me it a store sells pencils pens and markers that sells two times as many

babunello [35]

Answer:

Pencils = 325 ; Pens = 975 ; Markers = 650

Step-by-step explanation:

Let :

Number of Pencils = x

Number of pens = y

Number of markers = z

2 times as many markers as pencils

z = 2x

3 times as many pens as pencils

y = 3x

x + y + z = 1950

Write z and y in terms of x in the equation :

x + 3x + 2x = 1950

6x = 1950

Divide both sides by 6

6x / 6 = 1950 / 6

x = 325

Number of pencils = 325

Pens = 3 * 325 = 975

Markers = 2 * 325 = 650

Pencils = 325 ; Pens = 975 ; Markers = 650

6 0

3 years ago

Please please please please

Mariulka [41]

The numbers given are length-15 width-10 and height-2

perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)

7 0

3 years ago

Jessie estiments the weight of her cat to be 10 pounds the actual weight of the cat is 13.75 pounds fine the percent error

GarryVolchara [31]

Answer:

The percent error would be 27.27%

Step-by-step explanation:

percent error = \frac{measured - actual}{actual} x 100%

3 0

4 years ago

ine AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

Alja [10]

Y-6=-1/6(x+6)
y = -1/6x +5

m= -1/6
b=5

6 0

3 years ago