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2 years ago

The 3rd term in a geometric sequence is 40. The 5th term is 10. What are the possible values of the 4th term?

1 answer:

5 0

To answer, we let x be the 4th term. We use the concept of geometric mean in order to answer this question. The ratio of the fourth term and the third term is equal to the ratio of the fifth term and the fourth term. That is,
x/40 = 10/x
The values of x from the equation are 20 and -20.

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Mrs. Parson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Parson bake?

vekshin1

She cooked 25 cookies because 5/6 =25/30 because you multiply each number by 5 and it becomes 25/30. Hope this helped

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3 years ago

Read 2 more answers

A) Find the value of 3x – 2 when x = 4<br>b) Find the value of 5x + 6 when x = -2

Svetradugi [14.3K]

Answer: 10 and -4

Step-by-step explanation:

3x - 2 Plug in 4 for x

3(4) - 2 = 12 - 2 = 10

5x + 6. Plug in -2 for x

5(-2) + 6 = -10 + 6 = -4

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3 years ago

Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x),

harkovskaia [24]

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

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2 years ago

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Find the distance between the two points rounding to the nearest tenth (if necessary).

kap26 [50]

Answer:

4.5

Step-by-step explanation:

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2 years ago

7. Find f(9) when f(x) = 12 (17 – 3x) *

Radda [10]

Answer:

-120

Step-by-step explanation:

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2 years ago