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3 years ago

Which technique is best to use for x² + 4x = 15

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333

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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago

X-5y= -40 18x - 5y = 45 What is the answer to this

baherus [9]

Answer:

(5, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 5y = -40

18x - 5y = 45

Step 2: Rewrite Systems

18x - 5y = 45

Multiply both sides by -1: -18x + 5y = -45

Step 3: Redefine Systems

x - 5y = -40

-18x + 5y = -45

Step 4: Solve for x

Elimination

Combine equations: -17x = -85
Divide -17 on both sides: x = 5

Step 5: Solve for y

Define equation: x - 5y = -40
Substitute in x: 5 - 5y = -40
Isolate y term: -5y = -45
Isolate y: y = 9

4 0

3 years ago

Please help me with this

kompoz [17]

Answer:

The answer would be X=24

Step-by-step explanation:

Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!

-Hope this helps-

~Bai~

4 0

4 years ago

Read 2 more answers

Last year Marta invested money in two accounts. The first account had an interest rate of 3% and the second account had an inter

KatRina [158]

The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.

<h3>How do we calculate the amount invested?</h3>

Let x represents the amount invested in the first account.

Therefore, we have:

Amount invested in the second account = x - 500

Interest income from first account = 3% * x = 0.03x

Interest income from second account = 5% * (x - 500) = 0.05x - 25

Total interest income = 0.03x + 0.05x - 25 = 719

Solving for x, we have:

0.08x = 719 + 25

x = 744 / 0.08

x = $9,300

Substituting for x, we have:

Amount invested in the second account = $9,300 - $500 = $8,800

Learn more about the amount invested here: brainly.com/question/24132106.

#SPJ1

3 0

2 years ago

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among g guests, w

jeyben [28]

Answer:

StartFraction g over 12 EndFraction.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers