All categories

3 years ago

Find x such that x - 4, x, and 3x - 8 are three consecutive terms in a geometric sequence

1 answer:

8 0

In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x: reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...

You might be interested in

1. In a parallelogram ABCD, AD=12cm. if the altitudes corresponding

olganol [36]

Answer:

10.5 cm

Step-by-step explanation:

area of parallelogram = Bh

12 x 7 = AB x 8

AB = 12x7 / 8 = 21/2 = 10.5

6 0

2 years ago

Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially?

PtichkaEL [24]

For this case we must raise an inequality.

We have "d" dollars initially and they are spent 12. Then:

$d-12$

At least 51 dollars remain, then, the sign of inequality is greater or equal in favor of the expression $d-12$ , that is:

$d-12\geq 51$

Resolving:

$d\geq 51 + 12\\d\geq 63$

There are at least 63 dollars left in the account.

Answer:

$d-12\geq 51\\d\geq 63$

8 0

3 years ago

Fernando had 2 children. Each of their children had 2 children, and each of these

rjkz [21]

Answer:

Step-by-step explanation:

Fernando-

Child 1- Child 2-

2 kids- 2 kids- = 4 grandchildren for Fernando

2 kids 2 kids These are his great grandchildren, not grandchildren.

7 0

2 years ago

WILL MARK BRAINLIEST!!!!!

statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

<u>Shape A: Cross</u>

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

<u>Shape B: Star</u>

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

<u>Shape C: Composite figure</u>

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

<u>Shape D: Circle</u>

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

Read more about rotational symmetry at:

brainly.com/question/12214455

8 0

2 years ago

What is 3 times the sixth power of 10

sergey [27]

3000000...........
10^6 =1000000 (3) = 3000000

7 0

3 years ago

Read 2 more answers