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brilliants [131]
3 years ago
15

Which shows one way to determine the factors of 4x3 + x2 - 8x - 2 by grouping?

Mathematics
2 answers:
sergejj [24]3 years ago
8 0

Answer:

(x^2-2)(4x+1)

Step-by-step explanation:

4x^3 + x^2 - 8x - 2

Group:

(4x^3 + x^2)+( - 8x - 2)

Factor out as much as possible: (The GCF)

x^2(4x+1)-2(4x+1)

Regroup:

(x^2-2)(4x+1)

mr Goodwill [35]3 years ago
3 0

Answer:

(4x+1)(x²-2)

Step-by-step explanation:

one way to determine the factors of 4x^3 + x^2 - 8x - 2 by grouping:

x²(4x+1)-2(4x+1)

(4x+1)(x²-2)

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3 years ago
Calculate the perimeter of a square whose diagonal measures 29 dm.
mojhsa [17]

Answer:

4\sqrt{420.5} dm

Step-by-step explanation:

A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.

We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)

So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.

a^2 + a^2 = 29^2

2a^2 = 841

a^2 = 420.5\\

a = \sqrt{420.5}

Now that we have a side length of \sqrt{420.5}, we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

4\sqrt{420.5}

8 0
4 years ago
What is the range of y = 3(x – 5)2 + 10?<br> {y € RIO<br> }
Cerrena [4.2K]

Answer:

The range is [10, ∞).

Step-by-step explanation:

This is the equation of a parabola which opens upwards and has a minimum value of  10 ( because of the + 10:- the vertex is at (5, 10).

4 0
3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

4 0
4 years ago
Which table shows a proportional relationship between x and y? ​
hjlf
Table D shows a proportional relationship. Notice how the difference between x and y is 5. 5/1=5, 10/2=5, 15/3=5...etc
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