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3 years ago

5

The binomial (2x3 + 3y2)7 is shown in expanded form, but elements of several terms are missing. To complete the expansion, drag

the missing parts to the places they belong.

1 answer:

svlad2 [7]3 years ago

8 0

${(2x^{3} + 3x^{2} )}^{7}$
EXPANDED: VERY LONG

$128x^{21} +1344x^{18} y^{2} +6048x^{15} y^{4} +15120x^{12} y^{6} +22680x^{9} y^{8} +20412x^{6} y^{10} +10206x^{3} y^{12} +2187y^{14}$

I used the Binomial Theorem, Which States
$(a + b)(a + b)= {a}^{2} + 2ab + {b}^{2} \\$
$({a}^{2} + 2ab + {b}^{2} )(a + b)={a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3}$
$({a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3}) \times (a + b) = i \: believe \: you \: get \: the \: pattern \: now$

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Please help someone, this is my spring break homework so urgent!!

ArbitrLikvidat [17]

Answer:

The total area is 66

Step-by-step explanation:

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2 years ago

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A glass plummet weighs 14.35 g in air 5 points 11.40 g when immersed in water, and 8.95 g when immersed in sulfuric acid. Calcul

elena-s [515]

Answer:

0.865

Step-by-step explanation:

Specific gravity is a ratio of the weight of a substance to the weight of an equal volume of a substance chosen as a standard. The standard for liquid and solids is water while for gas is hydrogen.

Amount of displaced oil = 12.64 g — 9.12 g = 3.52 g

Amount of displaced water = 12.64 g — 8.57 g = 4.07 g

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2 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ .

Now, we calculate the average rate of change ( $r$ ), dimensionless, between $x = -2$ and $x = 8$ by using the formula of secant line slope:

$r = \frac{y(8)-y(-2)}{8-(-2)}$

$r = \frac{y(8)-y(-2)}{10}$

$x = -2$

$y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}$

$y(-2) = 0$

$x = 8$

$y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}$

$y(8) = -40$

$r = \frac{-40-0}{10}$

$r = -4$

The average rate of change of the parabola is -4.

3 0

2 years ago

Which of the following numbers are less than nine over four

allochka39001 [22]

Answer:

option B and C

Step-by-step explanation:

option B and C

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2 years ago

A line passes through the point (-2,2) and is parallel to the line of y=1/2(x-5/2) l. What is the equation of the line passing t

grin007 [14]

C is your answer.

It contains the proper points and form. A is not in point-slope form and B has the incorrect slope.

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3 years ago