Answer:
the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
Step-by-step explanation:
In this question table is given as
n 1 2 3 4 5
f(n) 48 -96 192 -385 768
We have to find out if the sequence is arithmetic or geometric.
For Arithmetic sequence :
Difference should be common in each term of fees.
common difference = f(2) - f(1)
= -96 -48 = -144
similarly = f(3) - f (2) = 192 + 96 = 288
Here, ≠ so the sequence is not an arithmetic sequence.
For Geometric sequence :
Ratio should be common in each term of f(n)
Common ratio =
Therefore, the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
Min at (2,-4)
D=1-4*1*-6=25=> 2 real roots
x=3, -2
Answer:
option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Step-by-step explanation:
Given f(x) = 3x + 1.
Given g(x) = x² - 6.
To find (f+g)(x).
The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).
(f+g)(x) = (3x+1) + (x²-6).
(f+g)(x) = x² + 3x + 1 - 6.
(f+g)(x) = x² + 3x - 5.
Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Answer:30
Step-by-step explanation:
Since it is a right angled triangle we can apply Pythagoras principle to get y
Adjacent=a=18
Opposite=k=24
Hypotenuse =y
y=√(k^2+a^2)
y=√(24^2+18^2)
y=√(24x24+18x18)
y=√(576+342)
y=√(900)
y=30
Answer:
smallest is 3L
biggest is 12L
Step-by-step explanation:
here is what i got, i hope it helps!
Pail=4 glasses
Jug=3 glasses
Glass=1 glass
4+3+1=8glasses
24L÷8glasses= 3L in each glass
pail=12L (4×3)
jug=9L (3x3)
glass=3L (1×3)
12L+9L+3L=24L