Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
Using an online calculator, you can determine that the missing factor is:
(3x - 1)
Answer:
x = 18
18√2
Step-by-step explanation:
This is a special right triangle with angle measures 45° 45° 90°
in this special triangle the side lengths are expressed as a, a, and a√2
So x = a and x = 18
r = a√2 and r = 18√2
Answer: $562.5
Step-by-step explanation:
Given : The taxes on a house valued at $60,000 are $450.00.
i.e. Market value of house = $60,000
Tax amount paid on $60,000 market value house = $450.00
Tax rate = (Tax amount on ) ÷ (Market value of house)
⇒ Tax rate= 0.0075
Market value of another house = $75,000
Tax amount paid on $75,000 market value house = (Tax rate) x ( (Market value of house))
= (0.0075 )x ( $75,000) = $562.5
Hence, the taxes on the house next door with a market value of $75,000= $562.5
She bought 24 cans. (8 were free)
Explanation:
32 cans divided by 4 (three cans and one free can). You then multiply the answer, 8, by 3, to get 24 cans that Tessera bought and 8 she got for free.
