All categories

3 years ago

3x^2(x^3-1)+2x^3(2x^2+2) Whats the simplified answer?

Mathematics

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

$\large\boxed{7x^5+4x^3-3x^2}$

Step-by-step explanation:

$3x^2(x^3-1)+2x^3(2x^2+2)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(3x^2)(x^3)+(3x^2)(-1)+(2x^3)(2x^2)+(2x^3)(2)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3x^{2+3}-3x^2+4x^{3+2}+4x^3\\\\=3x^5-3x^2+4x^5+4x^3\qquad\text{combine like terms}\\\\=(3x^5+4x^5)-3x^2+4x^3\\\\=7x^5+4x^3-3x^2$

You might be interested in

Women athletes at the university of colorado, boulder, have a long-term graduation rate of 67% (source: the chronicle of higher

Elodia [21]

The solution would be like this for this specific problem:

H0: p = p0, or 
H0: p ≥ p0, or
H0: p ≤ p0

find the test statistic z = (pHat - p0) / sqrt(p0 * (1-p0) / n)

where pHat = X / n

The p-value of the test is the area under the normal curve that is in agreement with the alternate hypothesis. 
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z

Hypothesis equation:

H0: p ≥ 0.67 vs. H1: p < 0.67

The test statistic is: 
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681

The p-value = P( Z < z ) 
= P( Z < -1.538681 )
= 0.0619

6 0

2 years ago

You flip a coin eight times. find the number of possible outcomes in the sample space.

nika2105 [10]

2( coin faces) 8( number of times)

6 0

3 years ago

What percent of 40 is 120?

aliya0001 [1]

Answer:

the correct answer is 33.33%

5 0

3 years ago

Read 2 more answers

Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and T(4, -1). What are the coordinates of vertex U if

Natasha_Volkova [10]

9514 1404 393

Answer:

c) (-5, -7)

Step-by-step explanation:

In a parallelogram, the midpoints of the diagonals are the same point. This means ...

(R+T)/2 = (S+U)/2

R +T -S = U

(-6 +4 -3, -3 -1 -3) = U = (-5, -7)

7 0

2 years ago

144=12x 45 =4x-27 2x-2=14 12x=44-10x does any one kno these questions?

Free_Kalibri [48]

Hello russell6333!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

144 = 12x
45 = 4x - 27
2x - 2 = 14
12x = 44 - 10x

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}$

__________________

$2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}$

__________________

$3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}$

__________________

$4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}$

__________________

To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
Remember that the signs & operations will change when you bring a term to the other side of the equation.
So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0

2 years ago

Read 2 more answers