Answer:
2(x+3) (x^2 + 5)
Step-by-step explanation:
F(x) = x²-4x-5, quadratic function,
Domain (the values if x) is all real numbers.
To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up. Minimum value of y =-9
Range(the values of y) is [-9, ∞)
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Angle PQR=90 degrees.
cos 52=PQ/14.72
PQ=14.72 x (cos 52)
PQ= 9 cm to the nearest cm
Answer:
If the second of the three numbers is
n
, then the first and third are
n- 1
and n
+
1
, so we find:
117
=
(
n
−
1
)
+
n
+
(
n
+
1
)
=
3n
Dividing both ends by
3 we find:
n
=
117/ 3
=
39
So the three numbers are:
38
,
39
,
40
Step-by-step explanation : I hope it helps please don't forget to mark me brainliest . :)