The ratio would be
45/100
45 to 100
45:100
Hope this helps!
The answer would be 2, 41° i think
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.
The question already has all the information's that are required for getting to the solution. It is important to minutely look at all the details provided.
Actual price of the item = $14.74
Percentage of sales tax that needs to be added = 4%
Then
Amount of sales tax that needs to be added = (4/100) * 14.74 dollars
= 58.96/100 dollars
= 0.5896 dollars
= 0.59 dollars
Then
The cost of the item including sales tax = (14.74 + 0.59) dollars
= 15.33 dollars
From the above deduction we can easily conclude that the correct option among all the options given in the question is option "B".
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
