W=kxp
where
k is the constant of proportionality given by:
k=w/xp
<span> If w=78 when x=2 and p=10 then
</span>k=78/(2*10)
k=3.9
thus the formula is:
w=3.9xp
b] <span>find x when w=858 and p=5.5
plugging the values in the formula we get:
858=3.9</span>×5.5×x
hence
x=858/(3.9×5.5)
x=358/21.45
x=16.69
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
The height of the food packet cannot be a negative value, so
We need to replace 
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals ![(-\infty , -2], [-2,2], [2,\infty )](https://tex.z-dn.net/?f=%20%28-%5Cinfty%20%2C%20-2%5D%2C%20%5B-2%2C2%5D%2C%20%5B2%2C%5Cinfty%20%29%20)
. We need to pick test point from each possible solution interval and check whether that test point make the inequality 
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
2 units
Step-by-step explanation:
The radius of the circle is 2 units because you can find the radius by multiplying the diameter by 2. The radius is half of the diameter.
4 divided by 2 is 2.
Hope this helped :)
Answer:
i know the answer for question 8 & 9
8) Volume is the amount of space a 3D shape takes up.
A cubic cm block takes up 1 cubic cm. This is written as 1 cm³.
You can work out the volume of a shape by multiplying height × width × depth.
If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.
9) The face or surface of a solid on its sides. That is, any face or surface that is not a base. See also. Lateral surface area, prism, pyramid, cone, cylinder.
- i hope this helps
Answer:
10
Step-by-step explanation:
A bakery makes 40 different flavors of muffins.
25% of the flavors have chocolate as one of the ingredients.
Convert 25% to fraction:
So, there are
muffins which have chocolate as one of the ingredients.
In attached tape diagram:
green - with chocolate
blue - without chocolate
