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1 year ago

Simplify (x + 3)^8 —————- (x + 3) ^5

Mathematics

2 answers:

marin [14]1 year ago

6 0

(x+3)^3 is the answer

noname [10]1 year ago

6 0

Answer:

(x + 3)^8 : x^8+24x^7+252x^6+1512x^5+5670x^4

+13608x^3+20412x^2+17496x+6561

(x + 3) ^5

: x^5+15x^4+90x^3+270x^2+405x+243

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The local newspaper has letters to the editor from 10 people. If this number represents 4% of all of the newspaper's readers, ho

Alex787 [66]

Answer:

The local newspaper has 250 readers in total

Step-by-step explanation:

Given that

Letter to the editor = 10

Also it is given that 10 is the 4% of total readers of the newspaper.

Let x be the number of readers of the newspaper

It can be written as:

$10 = 4\%\ of\ x$

Converting the percentage into decimal

$10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250$

The newspaper has 250 readers.

Hence,

The local newspaper has 250 readers in total

6 0

3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?

salantis [7]

Ans: The average rate of change of function = $\frac{1}{102}$ (in fraction)

Explanation:
The average rate of change of function = $\frac{f(b) - f(a)}{b - a}$

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

$f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}$

Hence the average rate of change of function = $\frac{1}{102}$ (in fraction)

5 0

3 years ago

Sketch over the interval [0, 2π] the graph of: y = sin(x + π)<br>

LuckyWell [14K]

Answer:

solve the inequality /2x-1/≥3

7 0

1 year ago

Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 fee

dangina [55]

the height of the tree is 23 feet .

<u>Step-by-step explanation:</u>

Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:

According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

⇒ $Tanx=\frac{y}{32}$