Answer:
Do not have
More
Cell wall
Flagellum
Step-by-step explanation:
How much trophies does Jared have(
Answer:
63 divided by 3 is 21 so x=21
Step-by-step explanation:
Probably the easiest way to do this is to use synthetic division. We already know one of the zeros of the quadratic so we can use that number to find the other zero. If the point is (4, 0), then when y = 0, x = 4. Thus, 4 is a zero. Put 4 outside the "box" and put the coefficients from the quadratic inside, like this: 4 (1 -1 -12). Draw a line and bring down the first one under it. Multiply that 1 by the 4 to get 4. Put that 4 up under the -1 and add to get 3. Multiply 3 by 4 to get 12. Put that 12 up under the -12 and add to get 0. The numbers left under the line are the coefficients for the next polynomial, called the depressed polynomial, and this polyomial is one degree less than the one we started with. Those coefficients are 1 and 3. Therefore, the polynomial is x + 3 = 0. That means that the other zero, or x-intercept, is x = -3.
Answer:
9 TV ads and 20 radio ads
Step-by-step explanation:
He has $37,000 to spend. He has to sum that amount of money between the TV and radio ads. Each TV ad costs $3000 while each radio ad costs $500, so the equation that represents that is 37000 = 3000x + 500y
The same happens with the amount of voters he needs to reach, the equation is 130000 = 10000x + 2000y
The system that represents this is

And the augmented matrix is
![\left[\begin{array}{cc|c}3000&500&37000\\10000&2000&130000\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D3000%26500%2637000%5C%5C10000%262000%26130000%5Cend%7Barray%7D%5Cright%5D)
First we divide the first row by 3000 and the second by 10000:
![\left[\begin{array}{cc|c}1&1/6&37/3\\1&1/5&13\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2F6%2637%2F3%5C%5C1%261%2F5%2613%5Cend%7Barray%7D%5Cright%5D)
Then we multiply the second row by (-1) and we add the first row:
![\left[\begin{array}{cc|c}1&1/6&37/3\\0&-1/30&-2/3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2F6%2637%2F3%5C%5C0%26-1%2F30%26-2%2F3%5Cend%7Barray%7D%5Cright%5D)
Now we multiply the second row by -30:
![\left[\begin{array}{cc|c}1&1/6&37/3\\0&1&20\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2F6%2637%2F3%5C%5C0%261%2620%5Cend%7Barray%7D%5Cright%5D)
Finally, to the first row we add the second one multiply by (-1/6):
![\left[\begin{array}{cc|c}1&0&9\\0&1&20\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%260%269%5C%5C0%261%2620%5Cend%7Barray%7D%5Cright%5D)
So, x = 9 and y = 20
That means 9 TV and 20 radio ads will contact 130,000 voters using the allocated funds