We are given that there are 11 animals with a total of 34 legs.
Let G = number of Goats, and D = number of Ducks
then G + D = 11; solving for G, we get G = 11 - D
then, 4G + 2D = 34
substituting the value for G, we get 4(11 - D) + 2D = 34
expanding, we get 44 - 4D + 2D = 34
solving, we get D = 5. Therefore, G = 6
Proof: (5 x 2) + (6 x 4) = 34
Answer:
16/1 I think
Step-by-step explanation:
Answer:
The values in the table, taking into account the quadratic equation, are:
- x -3 -2 -1 0 1 2 3 4
- y <u>16</u> 9 <u>4</u> 1 <u>0</u> 1 <u>4</u> 9
Step-by-step explanation:
To obtain the values of the table, you must use the quadratic equation given:
Now, you must replace the x with the one that is above the value you want to find, in the first case, we're gonna replace the value x with -3:
- y = x^2 - 2x + 1
- y = (-3)^2 - 2*(-3) + 1
- y = 9 + 6 + 1
- <u>y = 16</u>
When x is -1
- y = x^2 - 2x + 1
- y = (-1)^2 - 2*(-1) + 1
- y = 1 + 2 + 1
- <u>y = 4</u>
When x is 1
- y = x^2 - 2x + 1
- y = (1)^2 - 2*(1) + 1
- y = 1 - 2 + 1
- <u>y = 0</u>
When x is 3:
- y = x^2 - 2x + 1
- y = (3)^2 - 2*(3) + 1
- y = 9 - 6 + 1
- <u>y = 4</u>
At last, the graph must be as the attached picture I give you, but <u><em>remember in y-axis you must use 1 cm as unit and in the x-axis you must use 2 cm as unit, in this form, the graph will not be so elongated as the picture I attach, It would be wider</em></u>.
Umm just do the problem with 7 in the place of N
The expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
![a^{m/n} = \sqrt[n]{m}](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bm%7D)
Given the indices 
Comparing with the general formula, we will see that:
m = 3
n = 7
a = 
Applying the law of indices:
![(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%283x%5E4y%5E5%29%20%5E%20%7B3%2F7%7D%20%3D%20%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Hence the expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Learn more here: brainly.com/question/6755932