Answer:
E, 3.
Step-by-step explanation:
Since both f(x) and g[f(x)] are quadratic polynomials, g(x) must also be a linear polynomial.
Let g(x) = Ax + B, where A and B are constants to be determined.
Then we have A[2x² - 3x + 1] + B ≡ x² - (3/2)x + 3.
=> A = 1/2 and B = 5/2.
Hence, f[g(-1)] = f[(1/2)(-1) + (5/2)] = f(2) = 2(2)² - 3(2) + 1 = 3. (E)
three angles measuring 75°, 45°, and 60°
three sides measuring 7 m, 10 m, and lym
three angles measuring 40°, 50%, and 60°
three sides measuring 3 cm, 4 cm, and 5 cm
Answer:
Step-by-step explanation:
three angles measuring 75°, 45°, and 60°
75+45+60 = 180 -> can create triangle
three sides measuring 7 m, 10 m, and lym (assume this is 16)
satisfy this a-b<c<a+b -> can create triangle
three angles measuring 40°, 50%, and 60°
40+50+60 = 150 ≠ 180 -> cannot create triangle
three sides measuring 3 cm, 4 cm, and 5 cm
satisfy this a-b<c<a+b -> can create triangle
Answer:
2/3
Step-by-step explanation:
Answer:
y=-2/6x-4
Step-by-step explanation:
Answer:
Y=-3x+4
Step-by-step explanation:
Answer:
Patient will require 23950 mg or 23.95 gm of the antibiotic per day.
Step-by-step explanation:
The doctor has written an antibiotic at 400 mg per Kg body weight per day (400 mg/Kg/day).
Weight of patient is 132 lb.
So we will convert it into kilograms.
Since 1 lb = 0.4536 Kg
Therefore, 132 lb = 132 × 0.4536
= 59.875 kg
Weight of the patient is 59.875 kg
Now we can calculate the dose of the antibiotic by this weight of the patient.
∵ 1 Kg patient requires dose of antibiotic = 400 mg
∴ 59.875 Kg patient will require the dose = 400 × 59.875
= 23950 mg
We know 1 mg = gms
So 23950 mg = gms
= 23.95 gm per day
Therefore, patient will require 23950 mg or 23.95 gm of the antibiotic per day.