All categories

3 years ago

Factor 20x2y completely

Mathematics

2 answers:

valkas [14]3 years ago

6 0

40xy would be the answer

Naya [18.7K]3 years ago

6 0

If just simply simplifying the answer would be : 40xy

otherwise, this expression cannot be factored with rational numbers b/c the polynomial is not factorable with rational numbers

You might be interested in

13. If the radius of a cylinder is decreased by

Rasek [7]

Answer:

Step-by-step explanation:

If the radius of a cylinder is increased by 20% and its height is decreased by 10%.

To find : What is the percentage change in the volume?

Solution :

Let r be the radius of cylinder is increased by 20%

i.e,

The old radius is 5 and new radius is 6.

Let h be the height of cylinder is increased by 10%

i.e,

The old height is 10 and new height is 11.

The volume of old cylinder with r=5 and h=10

The volume of new cylinder with r=6 and h=11

Volume change is

Percentage change is

Therefore, The percentage change in the volume is 6.4%.

4.0

Read more on Brainly.in - https://brainly.in/question/2694128#readmore

8 0

3 years ago

Read 2 more answers

Use the graph that shows the solution to f(x)=g(x) .

n200080 [17]

Answer:

1. x=3 x=1

2. x=0

Step-by-step explanation:

We want f(x) to equal g(x)

f(x)=g(x)

1/(x-2) = (x-2)

Using cross products

1 = (x-2) * (x-2)

1 = x^2 -2x-2x+4

Subtract 1 from each side

1-1 = ^2 -2x-2x+4-1

0 = x^2 -4x+3

Factoring

What number multiplies to 3 and adds to -4

-3*-1 = 3

-3+-1 = -4

0= (x-3) (x-1)

Using the zero product property

x-3 =0 x-1=0

x=3 x=1

2. f(x)=x^2+4x+2

g(x)=(1/2)^ x+1

From the graph,we can see they intersect at x=0

5 0

3 years ago

A politician wants to estimate the proportion of constituents favouring a controversial piece of proposed legislation. Suppose t

diamong [38]

Answer:

I pressed this by an accident

4 0

2 years ago

when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

$t \approx 10.107\,s$

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0

3 years ago

The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the

kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0

2 years ago