Answer:
11. last option with x ≠ 1 is the choice
Step-by-step explanation:
x² + 5x +6 = (x + 2) (x + 3)
x² + x - 12 = (x - 3) (x + 4)
x² + x - 2 = (x - 1) (x + 2)
(x² + 5x +6) / (x + 4) * (x² + x - 12) / (x² + x - 2)
(x + 2) (x + 3) / (x + 4) * (x - 3) (x + 4) / (x - 1) (x + 2)
= (x + 3) ( x - 3) / (x - 1)
x - 1 ≠ 0 If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value will be undefined
I think only the last option that has x ≠ 1 is the answer
7^1 (-1x-1=1)
5^3 (2+4-3=3)
Answer:
The distance from the Zoo to the city is 80 km
Step-by-step explanation:
The given information are;
The speed of the tour bus = 78 km/h
The point of passing the tour bus = Half way between the city and the Zoo
The time taken after passing the tour bus when it was still 14 km from the city = 20 minutes = 20/60 hour = 1/3 hour
Therefore, we have that the distance covered by the tour bus in 1/3 hour = Time ×Speed = 1/3×78 = 26 km
The distance remaining for the tour bus to reach the city = 14 km
The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo
Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km
∴ 40 km = Half the distance from the city to the Zoo
Which gives;
The distance from the Zoo to the city = 2 × 40 km = 80 km.
Answer:
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)
Step-by-step explanation:
we have
where
f(t) represent the temperature of the object in degree Celsius
t is the time in minutes
<em>Find the value of the constant C</em>
we have the ordered pair (4,35)
substitute in the equation and solve for C
Find the initial value of the object
we know that
The initial temperature is the value of f(t) when the value of t is equal to zero
so
For t=0
therefore
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)
Final number of white sheep = 5 - 2 =3
Final number of black sheep = 7 - 2 = 5
ANSWER product = 3*5 = 15
