Answer:
10
Step-by-step explanation:
x-1 = 0
x = 1
f(x) = 3x⁵+2x⁴+5
f(1) = 3(1)⁵+2(1)⁴+5
= 3+2+5
= 10
I hope this helps
Answer:
166.6 joules
Step-by-step explanation:
The formular for potential energy is Mgh
Mass is 8.5 kg
g = acceleration due to gravity (9.8)
height is 2 meters
= 8.5 × 9.8 × 2
= 166.6 joules
Hence the potential energy is 166.6 joules
Answer:
So the exchange rate is that each dollar is worth 70.4 yens.
Step-by-step explanation:
We have that:
1 euro is priced at $1.25
1 euro will also buy 88 Japanese yen
This also means that:
$1.25 is priced at 88 Japanese yen
How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?
How much yens is 1 dollar?
This can be solved by a simple rule of three.
$1.25 - 88 yen
$1 - x yen
So the exchange rate is that each dollar is worth 70.4 yens.
Let P be the last point in the triangle you have drawn from AB.. It is isosceles and rectangle hence AB^2=2BP^2 hence AP=BP=sqrt(2).
Let Q be the last point in the triangle you have drawn from CD. By the same reasoning, CQ=DQ=sqrt(2)
What is more, AD=AP+PQ+QD=2sqrt(2)+1
Answer:
x = - 4
Step-by-step explanation:
Given
3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )
- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )
|0.5x + 1.5 | = 0.5
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus
0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )
0.5x = - 1 ( divide both sides by 0.5 )
x = - 2 ← solution Manuela obtained
OR
-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1
- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )
- 0.5x = 2 ( divide both sides by - 0.5 )
x = - 4 ← other solution to the equation
