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2 years ago

6

The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight num

bers?

1 answer:

Yuliya22 [10]2 years ago

3 0

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

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Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0

4 years ago

Need help in exponential functions

Kruka [31]

A) 18750

replace x with the time (1)

3 0

3 years ago

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), wh

Irina-Kira [14]

Answer:

2x+3

Step-by-step explanation:

if we need to find any polynomial factor you need to do

2x^2 +5x +3 is divided by the known factor x+1

if you have cas calculator

go to menu- algebra- factor -type the 2x^2 +5x +3

the answer will be 2x+3

4 0

3 years ago

Read 2 more answers

Mr.turner bought x boxes of pencil. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. W

Viktor [21]

Answer:

X multiplied by 25 subtract 3

(Sorry this is put in words)

Step-by-step explanation:

6 0

3 years ago

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 . Assume the leading co

oksano4ka [1.4K]

f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x) are − 3 , 4 , − 3 assuming that the leading coefficient is 1. This can be obtained by formula of polynomial function.

<h3>Find the required equation:</h3>

The zeroes or roots of a polynomial function are x values for which f(x) = 0

If the zeroes or roots are r₁, r₂, r₃,... then possible polynomial function is

⇒ f(x) = a(x - r₁)(x - r₂)(x - r₃)

where a is the leading coefficient

Here in the question it is given that,

Polynomial should be with degree 3
zeros of f(x) are − 3 , 4 , − 3

By using the formula of polynomial function we get,

⇒ f(x) = a(x - r₁)(x - r₂)(x - r₃)

⇒ f(x) = 1(x - (-3))(x - (4))(x - (-3))

⇒ f(x) = 1(x + 3)(x - 4)(x + 3)

⇒ f(x) = (x + 3)(x² - x - 12)

⇒ f(x) = x³ - x² - 12x + 3x² - 3x - 36

⇒ f(x) = x³ + 2x² - 15x - 36

Hence f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 assuming that the leading coefficient is 1.

Learn more about polynomial function here:

brainly.com/question/12976257

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4 0

1 year ago