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Mathematics

1 answer:

katrin2010 [14]4 years ago

5 0

$\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}$

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

$.\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}$

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An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7`

babymother [125]

Answer:

A. `1/2` foot

Step-by-step explanation:

The computation of the width of the box is shown below:

15 ÷ 28 = (5 ÷ 7)(1 1 ÷ 2)(width)

15 ÷ 28 = (5 ÷ 7)(3 ÷ 2)width

15 ÷ 28 = (15 ÷ 14)width

(15 ÷ 28) ÷ (15 ÷ 14) = width

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w = 14 ÷ 28

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3 years ago

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write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)

GalinKa [24]

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y=mx+b
m=slope
b=y-intercept:

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x₀=4
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Therefore:
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y=2x-6

<span>Answer: y=2x-6</span>

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3 years ago

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case: