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Ipatiy [6.2K]
4 years ago
10

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Mathematics
1 answer:
Orlov [11]4 years ago
3 0

Answer:

(x - 1)(x + 1)(x² + 1)

Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!

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1) Are the following lines parallel, perpendicular, or neither?
Maru [420]
In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.

5 0
4 years ago
Alan drives 20.4 miles in 17 minutes.He passes a sign which gives the speed limit as 60mph.By how much in mph did Alan exceed th
Rzqust [24]
12 miles over the speed limit
7 0
2 years ago
From 20 to 30 round to nearest percent
snow_lady [41]
They are already rounded but 20% and 30% should be correct.
8 0
4 years ago
Can someone answer for me please, if you're great at math.
jonny [76]
Assuming that c is the length of AB (as is usually the case in the angle-side notation for triangles):
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.
3 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
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