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2 years ago

HELP ASAP Find the 15th term or the geometric sequence 7, -21, 63,

Mathematics

1 answer:

mihalych1998 [28]2 years ago

5 0

<h3>Answer:</h3>

33480783

<h2>Step-by-step explanation:</h2>

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁) (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

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a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more peo

Hatshy [7]

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

6 0

2 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

To learn more on piecewise functions: brainly.com/question/12561612

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1 year ago

3. 9 (3x + 1) - 3(2x + 3) - Simplify the expression

Tanya [424]

Answer:

The answer for this question would be 21x (when simplified).

8 0

2 years ago

Read 2 more answers

Plz help me plz f(87) = -590.6 and f(132) = -901.1

quester [9]

Answer:

ididk

Step-by-step explanation:

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4 0

2 years ago

ASAP!!!!!! show your work plzz!!

Nat2105 [25]

4(p - 7) = 44
First distribute the 4 over the parentheses
4p - 28 = 44
Add 28 to both sides:-
4p = 44 + 28
4p = 72
Divide both sides by 4:-
p = 72/4
p = 18 (answer)

4 0

2 years ago