Find the value of 2 devide3times16

Log38 in simplest form

pshichka [43]

Answer:

3log32

Step-by-step explanation:

8 0

3 years ago

SSolve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

Zepler [3.9K]

Given,

9(x+1) = 25 + x

expanding,

9x + 1 = 25 + x

bringing x to left hand side and taking 1 to right hand side with change in their respective signs,

9x - x = 25-1

=> 8x = 24

transposing 8 ,

=> x = 24/8 = 3

Hence x = 3

5 0

2 years ago

Read 2 more answers

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Simora [160]

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

$f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\]$

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for $-2-x \:\: if\:x\leq1$

The value of x must be less than or equal 1

x f(x)

1 -3

0 -2

-1 -1

-2 0

-3 1

-4 2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for $-3+2x\: if\:x>1$

The value of x must be greater than 1

x f(x)

2 1

3 3

4 5

5 7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

4 0

3 years ago

Need help with this.

natka813 [3]

Answer:

yes to 5, and no to -7 (only because we are dealing with real positive numbers, not imaginary numbers). the domain is all real numbers greater than or equal to 2

Step-by-step explanation:

3 0

3 years ago

Find the value of 2 devide3times16​

Find the value of 2 devide3times16