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3 years ago

(x^3−7x−6) : (x−4) Kan someone solve this for me, and show how to get it?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

Answer:

x = 3 or x = -1 or x = -2

Step-by-step explanation:

Solve for x:

(x^3 - 7 x - 6)/(x - 4) = 0

Hint: | Multiply both sides by a polynomial to clear fractions.

Multiply both sides by x - 4:

x^3 - 7 x - 6 = 0

Hint: | Factor the left hand side.

The left hand side factors into a product with three terms:

(x - 3) (x + 1) (x + 2) = 0

Hint: | Find the roots of each term in the product separately.

Split into three equations:

x - 3 = 0 or x + 1 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 1 = 0 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

x = 3 or x = -1 or x + 2 = 0

Hint: | Look at the third equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -1 or x = -2

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Let R be the region in the first quadrant bounded by the graphs of y =x^2 and y=2x, as shown in the figure above. The region R i

Kobotan [32]

Answer:

The area between the two functions is approximately 1.333 units.

Step-by-step explanation:

If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).

To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.

First we need to find where they intersect:

2x = x²

2 = x

So they intersect at (2, 4) and (0, 0)

Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

$a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333$

So the correct answer is C, the area between the two functions is 4/3 units.

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3 years ago

The three angles in a triangle are in the ratio 3:4:5. Find the angles

insens350 [35]

The angles are 45° 60° and 75°

Elaboration：
Let the three angles be 3x 4x and 5x
( since the sum of interior angles of triangle=180° )
3x+4x+5x= 180
12x = 180
x = 15
3x= 45
4x= 60
5x= 75

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2 years ago

Counterexamples John says that if one side of an inequality is 0, you

Burka [1]

He may be wrong. If he was wrong, this is the example.

0 < -10x

If we were to divide both sides by -10, even though the answer would be undefined or just end up as zero, it is just a common rule to always flip the sign whenever you divide or multiply by a negative.

Don't quote me on it, but I think I'm right.

Hope this helped!

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3 years ago

Read 2 more answers

33. How will you check if your solution is correct?

Vsevolod [243]

Answer:

you basically do the same things just backwards

Step-by-step explanation:

for example 9+9=18 well to double check your work all you do is flip to equation 18-9=9

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2 years ago

Free brainliest to the first person to answer the question correctly because I wuv ya'll!!!!

VLD [36.1K]

Answer: 81/8

Step-by-step explanation:

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3 years ago