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laila [671]
3 years ago
7

Polynomial standard form: (6x+1)(1−3x)

Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer:

Step-by-step explanation:

(6x + 1)(1 - 3x)

Use FOIL method

(6x + 1)(1 - 3x) =6x*1 + 6x*(-3x) + 1*1  + 1*(-3x)

= 6x - 18x² + 1 - 3x

= -18x² + 6x -3x + 1     { 6x & -3x are like term}

= -18x² + 3x + 1

Mademuasel [1]3 years ago
3 0
(6x+1)(-3x+1)
-18x^2-3x+6x+1
-18x^2+3x+1
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Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
kicyunya [14]

Answer:

y  = -\dfrac{5}{6} x -\dfrac{31}{3}

In order to find equation:

<u>Find slope</u>:

\sf  slope: \dfrac{y_2 - y_1}{x_2- x_1}  = \dfrac{rise}{run}

\rightarrow \sf slope:  \dfrac{-17-(-7)}{8-(-4)}

\rightarrow \sf  slope: -\dfrac{5}{6}

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)

\sf \rightarrow y  = -\dfrac{5}{6} x + \dfrac{20}{3} -17

\sf \rightarrow y  = -\dfrac{5}{6} x -\dfrac{31}{3}

5 0
2 years ago
Please help with all three will give brainliest and $5
Dafna1 [17]

\frac{x}{y}Answer:

Six would be your answer

Step-by-step explanation:

2y-9= y-2

-y        -Y

y-9=-2

y=-2+9

y=6

7 0
3 years ago
(8/5x² -2/3x³ +3/2x -1) - [ x/5x -3/2x² +2/3x +1/4]​
tia_tia [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

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Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
3 years ago
The hourly wage for an employee is $11.5 per hour. The employee also earns 80 cents for each item they manufacture during the wo
Dovator [93]

Answer:

x = 11.5h+.8q

Step-by-step explanation:

x = the total salary made in a day

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6 0
3 years ago
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