<img src="https://tex.z-dn.net/?f=%283%20%7Bx%7D%5E%7B3%7D%20%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(3 {x}^{3} ) {}^

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inysia [295]

3 years ago

{2} " alt="(3 {x}^{3} ) {}^{2} " align="absmiddle" class="latex-formula">
sovle

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

9 $x^{6}$

Step-by-step explanation:

(3x³)² Distribute the exponent of 2 to everything

(3² $x^{6}$ ) Simplify

9 $x^{6}$

If this answer is correct, please make me Brainliest!

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Multiply:4x^3sqrt4x^2(2^3sqrt32x^2-x^3sqrt2x)

larisa [96]

8x^5\left(32\sqrt{2}x^2-\sqrt{2}x^4\right)

7 0

3 years ago

Read 2 more answers

Without solving, determine the number of real solutions for each quadratic equation.

masha68 [24]

Answer:

1. x^2 − 4x + 3 = 0

$b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0$ So we have two real solutions

2. 2n^2 + 7 = −4n + 5

$b^2 -4ac = (4)^2 -4(2)*(2)= 0$ So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

$b^2 -4ac = (1)^2 -4(2)*(5)= -19$ No real solutions

4. 4x + 7 = x^2 − 5x + 1

$b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0$ So we have two real solutions

Step-by-step explanation:

1. x^2 − 4x + 3 = 0

We need to compare this function with the general equation for a quadratic formula given by:

$f(x) = ax^2 + bx + c$

On this case we see that a=1, b = -4 and c =3

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0$ So we have two real solutions

2. 2n^2 + 7 = −4n + 5

We can rewrite the expression like this:

$2n^2 +4n +2$

On this case we see that a=2, b = 4 and c =2

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (4)^2 -4(2)*(2)= 0$ So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

We can rewrite the expression like this:

$2x^2 +x +5$

On this case we see that a=2, b = 1 and c =5

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (1)^2 -4(2)*(5)= -19$ No real solutions

4. 4x + 7 = x^2 − 5x + 1

We can rewrite the expression like this:

$x^2 -9x -6$

On this case we see that a=1, b = -9 and c =-6

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0$ So we have two real solutions

8 0

4 years ago

8/9d = 28 need help?

MariettaO [177]

Hey there.

8/9d = 28; multiply both sides by 9.

8d = 252; divide both sides by 8.

d = 31.5

I hope this helps!

7 0

4 years ago

In a certain country the life expectancy for women in 1990 was 45 and in 2000 it was 85?years. Assuming that life expectancy bet

Darya [45]

Answer:

49145 years

Step-by-step explanation:

In a certain country the life expectancy for women in 1990 was 45 and in 2000 it was 85?years.

Assuming that life expectancy between 2000 and 2100 increases by the same percentage as it did between 1900 and 2000,what will life expectancy be for women in 2100?

In 10 years, the expectancy increased by 85/45 = 17/9

between 2000 and 2100, it will increas by 10 time 10 years, so expected expectancy is $85*(\frac{85}{45})^{10} = 49145$ years

4 0

3 years ago

A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dime

GrogVix [38]

Answer:

Length: 116

Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116

4 0

3 years ago