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3 years ago

Will mark the brainliest

Mathematics

2 answers:

Ierofanga [76]3 years ago

3 0

Answer:

Step-by-step explanation:

The graph of a function and its inverse are symmetric with respect with the line y = x.

On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.

You will see this is true only for choice B

Vesna [10]3 years ago

3 0

Yea it is B good job

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What is the volume of a rectangular prism whose dimensions are 2 feet, 2.5 feet and 4 feet?

IrinaK [193]

Answer:

It’s B, 20 cubic feet

Step-by-step explanation:

Volume is length x width x height so
2 x 2.5 x 4 is 20

4 0

3 years ago

Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.

liraira [26]

Answer:

Step 2 is wrong.

It should be 3x – <u>18</u> + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

6 0

3 years ago

Which graph matches the equation ?

gulaghasi [49]

Answer:

Pretty sure it's the first one. It's the only one with the correct y-intercept and has a positive slope.

This is in fancy form, so you want to simplify it:

y = 3/4(x+4) - 6

Multiply it all,

y = 3/4x + 3/4(4) - 6

y = 3/4x + 3 - 6

y = 3/4x - 3

The first one matches.

3 0

3 years ago

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

THE FIRST AND BEST ANSWER GETS BRAINLIEST

wolverine [178]

If it’s 5 points no one is gonna answer

4 0

3 years ago