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3 years ago

In this geometric sequence, what is the common ratio? 104, -52, 26, -13, ...

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Answer:

-1/2

Step-by-step explanation:

The ratio is found by dividing the second number by the first:

-52/104 = -1/2

You can verify that this is a "common" ratio by doing the same with successive pairs of numbers:

26/-52 = -1/2

-13/26 = -1/2

The common ratio is -1/2.

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Find the inverse of the following function.

Naddik [55]

For this case we must find the inverse of the following function:

$f (x) = 8 \sqrt {x}$

For this, we follow the steps below:

We change f (x) to y:

$y = 8 \sqrt {x}$

We exchange the variables:

$x = 8 \sqrt {y}$

We solve for y:

$8 \sqrt {y} = x$

We divide between 8 on both sides of the equation:

$\sqrt {y} = \frac {x} {8}$

We raise both sides of the equation to the square to remove the root:

$y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}$

So, the inverse is: $f ^ {- 1} (x) = \frac {x ^ 2} {64}$

ANswer:

Option C

3 0

3 years ago

STVU is an isosceles trapezoid. If SV = 6x - 5 and TU = 2x + 7, find the value of x. x=3

Thepotemich [5.8K]

Because STVU is an isosceles trapezoid
so SV = TU
6x - 5 = 2x + 7
6x - 2x = 7 + 5
4x = 12
x = 3

answer
x = 3

7 0

3 years ago

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg

DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by

$y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\$

For any line if slope is zero it is parallel to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0

3 years ago

Read 2 more answers

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 8?

Verdich [7]

The probability that the sum of Michelle's rolls is 4 is 0.083
∴ P(A)=0.083
Step-by-step explanation:
Given that Michelle is rolling two six-sided dice, numbered one through six.
To find the probability that the sum of her rolls is 4:

∴ n(s)=36
Let P(A) be the probability that the sum of her rolls is 4
Then the possible rolls with sums of 4 can be written as

n(A)=3
The probability that the sum of her rolls is 4 is given by

=0.083
∴ P(A)=0.083
∴ the probability that the sum of Michelle's rolls is 4 is 0.083

-please give brainliest if correct!

3 0

3 years ago

You can rake a 20 square meter lawn in 10 minutes. If your mother asks you to rake your own lawn, which is 30 square meters, how

arsen [322]

20 square meter lawn..............................10 min
10 square meter lawn...............................5 min
30 square meter lawn in.........................5*3=15 min

5 0

3 years ago