What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?

creativ13 [48]

I believe x=3.
4x-3(-2)=18
4x=12
x=3

4 0

2 years ago

A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the

Inga [223]

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

7 0

2 years ago

Convert (1, 1) to polar form.<br> A. (2,459<br> B. (1,459)<br> C.(2, 2259)<br> D.(72,459)

timama [110]

Polar form: (r,θ)

Using these formulas:

x²+y²=r²

tan(θ)=y/x

We have the point (1,1) in cartesian coordinates. We need to find r and θ to get it in polar form.

r²=1²+1²

r²=2

r=±√2

tan(θ)=1/1

tan(θ)=1

θ=π/4 radians or 45 degrees

Polar coordinates: (√2,π/4)

Those answer choices look strange. Are you sure these are the right answer choices?

5 0

3 years ago

Read 2 more answers

If f(x)= x*2 +3 and g(x) = 4x + 1, what is f(g(2))?

enot [183]

Answer:

f(g(2))=84

Step-by-step explanation:

Step one:

Given data

f(x)= x*2 +3

g(x) = 4x + 1

Step two

Let us find g(2) first then we proceed to find f(g(2))

g(2)=4(2) +1

g(2)=8+1

g(2)=9

Since g(2)=9

f(g(2))=x*2 +3

f(g(2))=9*2 +3

f(g(2))=81+3

f(g(2))=84

5 0

2 years ago

Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m

kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

7 0

2 years ago