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Sidana [21]
4 years ago
7

(5x - 2y)^3 Expand using Bionomial Theorum. Show steps, please.

Mathematics
1 answer:
tatyana61 [14]4 years ago
7 0

Answer:

125x³ − 150x²y + 60xy² − 8y³

Step-by-step explanation:

(5x − 2y)³

₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³

(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)

125x³ − 150x²y + 60xy² − 8y³

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Question for 60 Points
dexar [7]

Using the Factor Theorem to find the equation of the parabola, we have that:

a + b + c = -\frac{48}{7}

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient.

In this problem, we have a horizontal parabola, defined as follows:

f(y) = a(y - y_1)(y - y_2).

The roots are y_1 = -1, y_2 = -7, hence:

f(y) = a(y + 1)(y + 7)

f(y) = a(y² + 8y + 7).

The x-intercept is of x = -3, hence f(0) = -3, so:

-3 = 7a

a = -\frac{3}{7}

Then the equation is:

x = -\frac{3}{7}y^2 - \frac{24}{7}x - 3

Then the sum of the coefficients is:

a + b + c = -\frac{3}{7} - \frac{24}{7} - \frac{21}{7} = -\frac{48}{7}

More can be learned about the Factor Theorem at brainly.com/question/24380382

#SPJ1

3 0
2 years ago
My coach bought 88 cupcakes to split with 11 people, What would my fair share be??<br> ( 1 Person. )
Alla [95]

Answer:

You would get 8 cupcakes

Step-by-step explanation:

Since we're splitting C (cupcakes) with P (people) and we know that c = 88 and p = 11 we have to do the equation c / p or 88 / 11 which equals 8.

7 0
3 years ago
Solve the expression 2/3 +-5/6<br><br>​
FinnZ [79.3K]
Answer: -1/6

Reasoning:

3 0
4 years ago
Read 2 more answers
If Triangle Q S R is congruent to triangle Y X Z describes two triangles, which other statement is also true?
Elena L [17]

Answer:

QRS congruent to XYZ,

Look for congruent sides by the corresponding letters, example, 

QR is congruent to XY

QS is congruent to XZ, and RS is congruent to YZ.

Same idea with angles,

angles QRS and XYZ are congruent, 

angles RSQ and YZX are congruent, etc.

Step-by-step explanation:

Hope this helps:)

3 0
3 years ago
Read 2 more answers
The interior angle of the regular octagon below measures 135º, and the
rodikova [14]

Answer:

D

Step-by-step explanation:

Since the shape won't change, it won't deform, nothing will happen to the interior angle.

This figure is symmetric and not deformed, so the measure of the interior angle won't change no matter how many times you rotate it.

So the interior angle would still be 135º.

Correct answer D

6 0
3 years ago
Read 2 more answers
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