Answer:
The min value of z of -30 occurs at (-9,-4).
Step-by-step explanation:
I have attached the graph for the following question and also the equation as well. I hope you get the idea. Thanks
Please check the attachment.
Answer:
p(x)=2x-40
Step-by-step explanation:
Substitute the variables
p(x)=10x-(8x+40)
p(x)= 10x-8x-40
p(x)=2x-40
Answer:
<h3>
present age of son = 10 </h3><h3>
present age of father = 40</h3>
Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,
![y + 5 = 3(x + 5)](https://tex.z-dn.net/?f=y%20%2B%205%20%3D%203%28x%20%2B%205%29)
Put the value of y from equation ( i )
![4x + 5 = 3(x + 5)](https://tex.z-dn.net/?f=4x%20%2B%205%20%3D%203%28x%20%2B%205%29)
Distribute 3 through the parentheses
![4x + 5 = 3x + 15](https://tex.z-dn.net/?f=4x%20%2B%205%20%3D%203x%20%2B%2015)
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign
![4x - 3x = 15 - 5](https://tex.z-dn.net/?f=4x%20-%203x%20%3D%2015%20-%205)
Collect like terms
![x = 15 - 5](https://tex.z-dn.net/?f=x%20%3D%2015%20-%205)
Calculate the difference
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Now, put the value of X in equation ( i ) in order to find the present age of father
![y = 4x](https://tex.z-dn.net/?f=y%20%3D%204x)
plug the value of X
![= 4 \times 10](https://tex.z-dn.net/?f=%20%3D%204%20%5Ctimes%2010)
Calculate the product
![= 40](https://tex.z-dn.net/?f=%20%3D%2040)
Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!
In this case, you just need to multiply 64% with the length shown.
For example, if the length shown is 100 cm, the length of its tail would be :
100 cm x 64 %
= 64 cm