Answer:
- m + m/4 + 3m/2 > 22
- m > 8 . . . . m restricted to multiples of 4, perhaps
Step-by-step explanation:
Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...
m +m/4 +3m/2 > 22
This has solution ...
(11/4)m > 22
m > (4/11)22
m > 8 . . . . . . . . the solution to the inequality
If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).
The solution set will be ...
m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)
Answer:
Step-by-step explanation:
surface area = 2πrL + 2πr² = 14πL + 98π
14πL + 98π = 880
14πL = 880-98π
L = (880-98π)/(14π) ≅ 55.9 cm
Answer:
t=1p
Step-by-step explanation:
this problem is fairly easy. we will first do is set the equation to equal t also known as the total price. this is because you were trying to determine how much you will have to pay if she buys her food in bulk. you will then equal t to how much it will cost if the food is in bulk. to do this you will multiply 1 (this next she wants to buy weighs 1 kg) and multiply it by p (price per kilogram). Hope this helps!
Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
Y + 3 = 1.2(x - 0)
y + 3 = 1.2x - 0
y = 1.2x - 3
