Answer:
+1 is the potential root of the function.
Step-by-step explanation:
Given;
p(x) = x⁴ + 22x⁴ – 16x - 12
A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.
To determine this, we test each of the root given;
p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700
p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803
p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5
p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068
The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.
Answer:
A
Step-by-step explanation:
Answer:
We need 540 grams of 0.5% hydrocortisone cream
Step-by-step explanation:
Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that
x * 0.005 + 180*0.025 = (180+x)*0.01
Hence
0.005x + 4.5 = 1,8+0.01x
Lets put the x in the same side and take common factor
4.5-1.8 = 0.01x-0.005x
2.7 = (0.01-0.005)x = 0.005x
As a result
x = 2.7*0.005 = 540
We need 540 grams.
I’ve attached the work done on the paper
Hope this helped!
To answer this item, we are first to determine the common factor between the amounts of the cement, sand, and gravel.
If we let x be this factor, the amount of the cement would be x. Similarly, the amount of sand is 3x, and lastly the amount of gravel is 4x. Then, we establish the equation that would let us relate the amounts.
x + 3x + 4x = 480
Simplifying,
8x = 480
x = 60
Hence, the amount of cement is 60 kg, that of sand is 180 kg. Lastly, the amount of gravel is 240 kg.
