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Yuri [45]
3 years ago
13

Which expression is equivalent to this expression? x(2x + 3)

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Use distributive property: a(b + c) = ab + ac


x(2x + 3) = (x)(2x) + (x)(3) = 2x² + 3x

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A triangle with a perimeter of 13 centimeters is rotated and reflected in the coordinate plane. What is the perimeter of the res
Nataliya [291]

Answer:

13

Step-by-step explanation:

7 0
3 years ago
What times 0.6 equals 0.225
seraphim [82]
0.135 Hope this helps :)
5 0
3 years ago
Read 2 more answers
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
Bas_tet [7]

Answer:

The expression is 20 - 50/5

Step-by-step explanation:

First we have the quotient of 50 and 5.

This is written as:

50/5

And we know that this is equal to 10, but let's leave it as 50/5 for now.

Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:

20 - 50/5

Now we can also solve this:

20 - 50/5 = 20 - 10 = 10

3 0
3 years ago
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x
nevsk [136]

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

f_x=8x

f_y=4y

g_x=3

g_y=3

Setting up the Lagrange multiplier equations:

f_x=\lambda g_x

⇒ 8x = 3λ                                        .....................(1)

f_y=\lambda g_y

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

Learn more about the extremum here:

brainly.com/question/17227640

#SPJ4

6 0
2 years ago
Mark borrowed $600 at an intrest rate of 8% per year for 4 years. How much simple intrest will he have to pay?
miv72 [106K]

Answer:

He will have to pay $192 in simple interest.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

P = 600, r = 0.08, t = 4

So

E = P*I*t = 600*0.08*4 = 192

He will have to pay $192 in simple interest.

6 0
3 years ago
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