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3 years ago

Help !!! Which formula can be used to describe the sequence

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

Answer:

f (x+1) = 2 f(x)

Step-by-step explanation:

If you write the sequence as improper fractions, you will obtain:

-8/3, -16/3, -32/3, -64/3, ....

so it can be seen that each term doubles prior term, and they are always negative

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Help, please will give Brainliest

Diano4ka-milaya [45]

9514 1404 393

Answer:

A. 57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

V = LWH

V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

If you feel the need to compute the volume exactly, you can do so using improper fractions.

V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

3 0

3 years ago

The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra

zzz [600]

A quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

a $x^{2}$ + bx + c = 0

Given that the difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

$x^{2}$ - 8x - 65 = 0

$x^{2}$ - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is $x^{2}$ - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

#SPJ1

5 0

2 years ago

Which diagram contains a pair of similar triangles?

Musya8 [376]

Answer:

Step-by-step explanation:

6 0

3 years ago

James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

tester [92]

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

$I = \frac{PRT}{100}$