What is the smallest number by which 256 may be divided so that the quotient is perfect cube? (A) 2 (B) 3 (C) 4

Find the inequality represented by the graph.

iris [78.8K]

Answer:

<h2> $x \geqslant \frac{y + 4}{3}$ </h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

$- 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\$

$y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x$

Inequality representated by graph:

$x \geqslant \frac{y + 4}{3}$

Hope this helps...

Good luck on your assignment...

7 0

3 years ago

Find the area<br> cant solve

Alex73 [517]

Answer:

36in²

Step-by-step explanation:

<h3>Area of the White Region: </h3>

A = l * w

The rectangle is 3 by 2.

A = 3 * 2

A = 6

The white part of the rectangle is 6in².

<h3>Area of the blue region:</h3>

A = l * w

The rectangle is 6 by 7.

A = 6*7

A = 42

The blue part of the rectangle is 42in².

<h3>Area of the shaded region:</h3>

[area of the blue part] - [area of the white part]

42 - 6 = 36

The area of the shaded region should be 36in².

8 0

3 years ago

Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri

Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after $\frac{640}{7}$ miles

Step-by-step explanation:

Given

The table represents the car mileage

$y = -\frac{1}{5}x + 31$ --- The van

First, calculate the car's slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)$

So, we have:

$m = \frac{10.5 - 13.5}{180 - 60}$

$m = \frac{-3}{120}$

$m = -\frac{1}{40}$

Calculate the equation using:

$y = -\frac{1}{40}(x - 60)+13.5$

$y = -\frac{1}{40}x + 1.5+13.5$

$y = -\frac{1}{40}x + 15$

$m = -\frac{1}{40}$ implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

$y = -\frac{1}{5}x + 31$ --- The van

By comparison to: $y = mx + b$

$m = -\frac{1}{5}$

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

$1/40 < 1/5$

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

$y = -\frac{1}{5}x + 31$ --- The van

$y = -\frac{1}{40}x + 15$ --- The car

Equate both

$-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15$

Collect like terms

$\frac{1}{40}x -\frac{1}{5}x =-31 + 15$

$\frac{1}{40}x -\frac{1}{5}x =-16$

Take LCM

$\frac{x - 8x}{40} = -16$

$\frac{- 7x}{40} = -16$

Solve for -7x

$-7x = -640$

Solve for x

$x = \frac{640}{7}$

5 0

2 years ago

Richard mows 1/3 of his yard in 1/2 hour. How much of his yard would Richard mow in 1 hour?

Vlada [557]

I hope this helps you

if he mows 1/3 yard in 1/2 hour

? yard in 1 hour

?.1/2=1.1/3

?=2/3 yard in 1 hour

3 0

3 years ago

Read 2 more answers

Is 2 correct or one I don't get it?<br> Can you please help me

SCORPION-xisa [38]

Answer:

Its C

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers