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2 years ago

Add the polynomials 3x^5-2x^3+4x + 4x^6-5x^5+4x^3-x^2

Mathematics

2 answers:

RUDIKE [14]2 years ago

3 0

Answer: B

4x^{6} - 2x^{5} + 4x^{3} -x^{2} +4x

Step-by-step explanation:

tankabanditka [31]2 years ago

3 0

3x⁵ - 2x³ + 4x + 4x⁶ - 5x⁵ + 4x³ - x² =

= 4x⁶ + 3x⁵ - 5x⁵ - 2x³ + 4x³ - x² + 4x

= 4x⁶ - 2x⁵ + 2x³ - x² + 4x

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Find the x-intercept and y-intercept of the line.

adelina 88 [10]

X intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0

so

6x-3y=-6
x intercept
y=0
6x-3(0)=-6
6x=-6
x=-1
x intercept at x=-1 or the point (-1,0)

y intercept
x=0
6(0)-3y=-6
-3y=-6
y=2
y intercept at y=2 or the point (0,2)

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2 years ago

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Please help me solve my problem!!!

Vera_Pavlovna [14]

Answer:

The answer to this problem is True.

7 0

2 years ago

Multiply:<br>(x+y)by (x+y)<br>a+b by a^2-b^2<br>(a+5) by (a^2-2a-3)<br>(a^2-ab+b^3) by (a+b)

Law Incorporation [45]

Answer:

Multiply:

$(x+y)by (x+y)$

$: \implies(x + y)(x + y)$

$: \implies \: x(x + y) + y(x + y)$

$: \implies {x}^{2} + xy + xy + {y}^{2}$

$: \implies{x}^{2} + 2xy + {y}^{2}$

Multiply:

$a+b \: by \: a^2-b^2$

$: \implies( {a}^{2} + {b}^{2} ) \times (a + b)$

$: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)$

$: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3}$

Multiply:

$(a+5) by (a^2-2a-3)$

$: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }$

$: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)$

$: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)$

$: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15$

$: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}$

Multiply:

$(a^2-ab+b^3) by (a+b)$

$: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}$

$: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} )$

$: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4}$

$: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }$

Step-by-step explanation:

$\blue{ \frak{Seolle_{aph.rodite}}}$

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2 years ago

You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll

bonufazy [111]

We need to define our outcomes and events.

Finding the probability<span> of each event occurring separately, and then multiplying the probabilities is the step to <span>finding the probability</span> of two independent events that occur in sequence.

</span>

<span>
To solve this problem, we take note of this:</span>

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we deﬁne ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

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3 years ago

Find the values of x and y for the isosceles trapezoid

butalik [34]

<h3>Answer:</h3>

x = 15
y = 3

<h3>Step-by-step explanation:</h3>

If the trapezoid is isosceles, angles A and C are supplementary, so ...

... (4x+4) +(7x+11) = 180

... 11x +15 = 180 . . . . . . collect terms

... 11x = 165 . . . . . . . . . subtract 15

... x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

... 4·15 +4 = 21y +1

... 63 = 21y . . . . . subtract 1

... 3 = y . . . . . . . . divide by the coefficient of y

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3 years ago