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3 years ago

Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

12 pls. Dis is due tomorrow I need helppp

givi [52]

Multiplying positive numbers always comes out positive, no matter how many there are. So you can forget about the positive ones.

Every two negative numbers in a multiplication produce a positive.
Another way to say that is: If the number of negative ones is EVEN,
the answer is positive, and if it's ODD, the answer is negative.

That monster product of eight numbers in problem #12 will be negative,
because there are an odd amount of negative factors in it.

7 0

2 years ago

A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr

QveST [7]

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 ) feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

7 0

3 years ago

By the literal surface of the triangular prism 90 in2 110 in2 120 in2 130 in2

Sergio039 [100]

Answer:

Step-by-step explanation:

Your answer is 3

8 0

2 years ago

Read 2 more answers

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

vredina [299]

Answer:

20n

Step-by-step explanation:

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

1 pretzel = 20 calories

n pretzel = x

Cross Multiply

x × 1 pretzel = n pretzel × 20 calories

x = n pretzel × 20 calories/1 pretzel

x = 20 n

Therefore, an algebraic expression for the total number of calories in n pretzels = 20n

4 0

3 years ago