Answer:
51
Step-by-step explanation:
Given
P(x) = 2x³ + 4x² - 10x - 9, then
P(a) = 2a³ + 4a² - 10a - 9 ← substitute x = a into P(x)
To evaluate P(3) substitute a = 3 into P(a)
P(3) = 2(3)³ + 4(3)² - 10(3) - 9 = 54 + 36 - 30 - 9 = 51
Since P(3) ≠ 0 then (x + 3) is not a factor of P(x)
Americo Vespuccio thought that lake Maracaibo looked like Venice because the aborigines who lived in the area built their houses on water. The aboriginal people called Añú have a tradition of living on water in houses made of magle wood.
3x-7y=2 ; 3x=2+7y x=2x+7y/3
Answer:
5 m
Step-by-step explanation:
The perimeter is the sum of the lengths of the four sides. Opposite sides have the same length, so it is twice the sum of the lengths of adjacent sides.
The sum of adjacent sides is (32 m)/2 = 16 m. If one of them is 11 m long, the other is ...
16 m - 11 m = 5 m
The "missing" side is 5 m long.
Answer:
17 quarters, 37 nickels
Step-by-step explanation:
We just have to set up a system of equations
quarters are x
and nickels are y
x+y=54
0.25x+0.05y=6.10
now we can get ready to substitute
x=54-y
substitute it in
0.25(54-y)+0.05y=6.10
simplify/evaluate
13.5-0.25y+0.05y=6.10
-0.2y=-7.4
y=37
plug it back in
x+37=54
x=17
