Answer:
Need more infomation to write the equation.
Step-by-step explanation:
Step-by-step explanation:
volume of sphere = 288
based on formula, V = 4/3πr³
288 = 4/3(3.14)r³
288 = 4.187(r³)
r³ = 288/4.187
r =
![\sqrt[3]{68.78}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B68.78%7D%20)
r = 4.09
= 4.1
Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
We have the expressions:




Now, with this we operate as follows:
a)


Then, the axis is x = -3 and the vertex (-3, 6)
b)


Then, the vertex is (2, 5) and the axis is x = 2.
c)

Then, the vertex is (2, -4) andd the axis is x = 2.
d)


Then, the vertex is (-7/2, -57/4) and the axis is -7/2.