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3 years ago

The area of a rectangle is 8x3 + 6x2 - 10x. The width of the rectangle is 2x. Find the length of the rectangle.

1 answer:

4 0

2x multiplies to all numbers:
2x x 8x3 = 16x4
2x x 6x2 = 12x3
2x x -10x = -20x2

Answer: 16x4 + 12x³ - 20x²

Hope this helps :)

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Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Helga [31]

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form y = mx + b

That locates the y-intercept, b and you can use the slope, m to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation: Isolate y on the left

First equation:

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12 Divide both sides by 6

y = -4x/6 -12/6 Simplify

y = -2x/3 - 2 The y-intercept is -2, the slope is -2/3

Second equation:

2x + 3y = 6 Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3 Simplify

y = –2x/3 +2 The y-intercept is -2, the slope is -2/3

At this point we see that the slopes are the same, so the lines are parallel.

6 0

3 years ago

Read 2 more answers

Divide. -6:31 Enter your answer as a mixed number, in simplified form, in the box.

jekas [21]

Answer:−

-12/31

Step-by-step explanation:

8 0

3 years ago

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha

xxMikexx [17]

Answer:

Dimensions of rectangle : Width = $2x$ , Length = $49 - x^2$

Area of Rectangle = $98x - 2x^3$

Step-by-step explanation:

A rectangle constructed with its base on the x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = $(x,y)$

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle : $2x$

Length of rectangle : $y = 49 - x^2$

Area of Rectangle = Length x Width

( $2x$ ) ( $49 - x^2$ )

= $98x - 2x^3$

8 0

3 years ago

Ten tiles numbered 1 through 10 are placed in a bag. You randomly choose one tile. Without replacing the first tile, you randoml

ruslelena [56]

You would have one tenths (1/10) of a chance to get a 4 on the first go. you would have four ninths (4/9) of a chance to get a number less than 5 out of the bag on the second go.

the overall probability would be two forty-fifths (2/45)

7 0

3 years ago

A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.

Arisa [49]

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190 = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

18,800 - 6600 = 12200/400 = 30.5

8 0

3 years ago