We want to replace x with 2x in the original equation
g(2x) = 3(2x) -5
We can multiply 3 and 2x to simplify this, which will give us 6x
g(2x) = 6x - 5

5 0

3 years ago

An election ballot asks voters to se4five city commissioners from a group of fifteen candidates. In how many wsys can this be do

svp [43]

That's "15 choose 5"

$\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003$

Answer: 3003 ways

8 0

3 years ago

Z= -12i + 11 what are the real imaginary parts of z

Sergio039 [100]

Let's solve for i.

z=−12i+11

Step 1: Flip the equation.

−12i+11=z

Step 2: Add -11 to both sides.

−12i+11+−11=z+−11

−12i=z−11

Step 3: Divide both sides by -12.

−12i−12=z−11−12

i=−112z+1112

Answer:

i=−112z+1112

5 0

4 years ago