Answer:
B is true
Step-by-step explanation:
given f(x) = 2x² - x - 1 and g(x) = x - 1
A
If x = - 1 is a root then f(- 1) = 0
f(- 1) = 2(- 1)² - (- 1) - 1 = 2 + 1 - 1 = 2 ≠ 0 ← False
B
If (x - 1) is a factor then x = 1 is a root and f(1) = 0
f(1) = 2(1)² - 1 - 1 = 2 - 1 - 1 = 0
⇒ g(x) = x - 1 is a factor of f(x) ← True
C
If x = 2 is a root then f(2) = 0
f(2) = 2(2)² - 2 - 1 = 8 - 3 = 5 ≠ 0 ← False
D
= 
Cancel the factor (x - 1) on the numerator/ denominator, leaving
= 2x + 1 with remainder 0 ≠ 2 ← False
(p of q)(x) means that q(x) is inserted into p(x).
p(q(x)) = 2(x - 3)^2 - 4
Expand (x - 3)^2.
p(q(x)) = 2(x^2 - 6x + 9) - 4
p(q(x)) = 2x^2 - 12x + 14
We have the following variable:
x = The amount of orange juice
We have the following equation:
x + (× + 100) + 1/2 × = 1850
We clear x:
(5/2) x + 100 = 1850
(5/2) x = 1850 - 100
(5/2) x = 1750
x = 1750 / ((5/2))
x = 700 ml
pineapple juice = × + 100 = 700 + 100 = 800 mL
strawberry juice = 1/2 × = (1/2) 700 = 350 mL
The difference is:
800 - 350 = 450 mL
Answer:
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
450 mL
Answer: Dao will pay $ 15,219.2
Step-by-step explanation:
Hi, to answer this question we have to multiply the price of the automobile by the percentage discount in decimal form (divided 100)
18,560 (18/100) = 18,560 (0.18) = $ 3,340.8 (discount amount)
Finally, we have to subtract the discount amount to the automobile's price:
18,560- 3,340.8 =$ 15,219.2
Dao will pay $ 15,219.2.
Feel free to ask for more if needed or if you did not understand something.
The Greek mathematician who wrote the most definitive text on geometry, one that is still referred to today is Euclid. Euclid of Alexandria is also called "Father of Geometry". He was a great Greek mathematician. Euclidean geometry is still widely taught in schools and colleges. I hope the answer comes to your help.
