Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
=
=
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
15 is 75 percent of the number 20 because 5 x 4 = 20 and 5 x 3 = 15. So look at 5 as 25% so multiply 5 x 3 to get 15
Answer:
It is an arithmetic sequence.
Step-by-step explanation:
64 - 7 = 57
121 - 64 = 57
178 - 121 = 57
We have a common difference of 57, so it is arithmetic.
The explicit formula for the nth term
= 7 +57(n - 1).
Answer:
f(4) = 1.4
Step-by-step explanation:
f(x) = (3x/2) - (14/3)
We are given that x = 4
f(4) = (3(4)/2) - (14/3)
f(4) = (12/2) - (14/3)
f(4) = 6 - (14/3)
14/3 as a decimal is 4.6
f(4) = 6 - 4.6
f(4) = 1.4 (approximately)
If you type in both the coordinates it’ll give you the answer on google. That’s how I did this.