Find the next three terms of the sequence –8, 24, –72, 216, . . .A 648, –1944, 5832
B 248, –616, 248
C 216, –648, 1944
D –648, 1944, –5832

Answers

Answer 1
Answer:

Answer: D –648, 1944, –5832


Step-by-step explanation:

Given sequence: –8, 24, –72, 216, . . .

Here we can see that the next term is -3 times the previous term.

Such that a_n=-3a_(n-1)

therefore, the term after 216= a_5=-3a_4=-3*216=-648

Then term after -648 =a_6=-3*-648=1944

Term after 1944=  a_7=-3*1944=-5832

Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832

Answer 2
Answer: D –648, 1944, –5832
throught one, multiply by 9

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Please solve this -2x + 12y - 4

Answers

2 (2x - (2 - 2y + 3x) + 4y) =
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This was my solution.

What is the slope of the line that passes through the pair of points?
(1, 7), (10, 1)

Answers

(x_1;\ y_1);\ (x_2;\ y_2)\n\nthe\ slope:m=(y_2-y_1)/(x_2-x_1)\n----------------------\n(1;\ 7);\ (10;\ 1)\n\nm=(1-7)/(10-1)=(-7)/(9)=-(7)/(9)

ABCD is rectangle. Find the length of each diagonal
AC=c/3
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Answers

Answer:

Recall the following result:

In a rectangle ABCD, the diagonals AC and BD are equal to each other, that is, AC = BD.

Consider the following statement:

\text{AC}=(c)/(3) and BD =4-c

The objective is to find the length of each diagonal.

As per the result:

In a rectangle ABCD:

AC = BD

Substitute the given values:

(c)/(3) =4-c

Multiply both sides by 3:

c = 3(4-c)

Simplify:

c = 12-3c

Add 3c to both sides :

4c= 12

Divide both sides by 4;

c = 3

Then,

\text{AC}=(3)/(3)=1

BD=4-3 = 1

Therefore, the length of each diagonal is, 1.

The lenght of each diagonals is 1.

At camp last summer the ratio of boys to girls was 3:5 if there was a total of 160 campers how many girls were there

Answers

I believe there is 100 girls or something close to that.

What is equivalent to 9c - 12 - 15c - 8 - 3c?

Answers

The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

9c - 12- 15c - 8 - 3c.

Solve the expression for terms c,

9c - 12 - 18c - 8

-9c - 12 -8

Further, solve for constant terms,

-9c - 20

The simplified form of the expression is -9c - 20.

To know more about Algebraic expression on:

brainly.com/question/19245500

#SPJ2

Answer:

-9c-20

Step-by-step explanation:

Simplify the equation by adding/subtracting the like terms (c and numbers)

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work

Answers

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