Answer:
So you first count how much times the numbers go up,then you add the number you get it is 6+ you add them with 13 and you get 19.
Step-by-step explanation:
So you first count how much times the numbers go up,then you add the numbers so 1 is not enough 2 is not enough 3 is not enough 4 is not enough 5 is not enough 6 is enough, so we add the six with the number that we are adding which is 13,then you get 19
Answer:
165 pennies
Step-by-step explanation:
250/1.52=164.473684211, but just round it to the nearest whole number whitch would be 165!
1.291
1.251
1.341
1.331
1.321
1.311
1.281
1.271
1.261
GIVEN:
We are given the following polynomial;
![x^3+x^2+4x+4](https://tex.z-dn.net/?f=x%5E3%2Bx%5E2%2B4x%2B4)
Required;
We are required to factorize this polynomial completely.
Step-by-step explanation;
To factorize this polynomial, we start by grouping;
![(x^3+x^2)+(4x+4)](https://tex.z-dn.net/?f=%28x%5E3%2Bx%5E2%29%2B%284x%2B4%29)
We now take the common factor in each group;
![\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%28x%2B1%29%2B4%28x%2B1%29%20%5C%5C%20%20%5C%5C%20%28x%5E2%2B4%29%28x%2B1%29%20%5Cend%7Bgathered%7D)
Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;
![\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%2B4%3D0%20%5C%5C%20%20%5C%5C%20Subtract%5Ctext%7B%20%7D4%5Ctext%7B%20%7Dfrom%5Ctext%7B%20%7Dboth%5Ctext%7B%20%7Dsides%3A%20%5C%5C%20%20%5C%5C%20x%5E2%3D-4%20%5C%5C%20%20%5C%5C%20Take%5Ctext%7B%20%7Dthe%5Ctext%7B%20%7Dsquare%5Ctext%7B%20%7Droot%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dboth%5Ctext%7B%20%7Dsides%3A%20%5C%5C%20%20%5C%5C%20x%3D%5Cpm%5Csqrt%7B-4%7D%20%5C%5C%20%20%5C%5C%20x%3D%28%5Cpm%5Csqrt%7B-1%7D%5Ctimes%5Csqrt%7B4%7D%29%20%5C%5C%20%20%5C%5C%20x%3D%5Cpm2i%20%5Cend%7Bgathered%7D)
Therefore, the factors of the other parenthesis are;
![(x+2i)(x-2i)](https://tex.z-dn.net/?f=%28x%2B2i%29%28x-2i%29)
Therefore, the complete factorization of the polynomial is;
ANSWER:
![(x+1)(x+2i)(x-2i)](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B2i%29%28x-2i%29)
Option C is the correct answer.
45 to get j by itself you need to multiply both sides by 9