Answer:
1) (2x - 3)(x + 5)
2) 1.5, -5
3) Open upwards from both ends
4) Minimum
Step-by-step explanation:
Step 1:
The given polynomial is:
Taking out commons, we get:
This is the factorized form of the polynomial.
Step 2:
The zeros of the functions occur when the function is equal to zero.
i.e.
This means, the zeros of the polynomial are 1.5 and -5
Step 3:
The end behavior of a graph depends on its degree and the sign of leading coefficient. Since the degree is even and the coefficient is positive the graph of the polynomial will opens upwards from left and right side.
Step 4:
The given polynomial is a quadratic function with positive leading coefficient. Since it open vertically upwards, its vertex will be the lowest most point. So, the vertex will be the minimum of the function.
Answer:
n is 192
Step-by-step explanation:
Given data
Cl = 95%
interval = 0.2
to find out
what value n
solution
we have interval = 0.2
so interval has width at most is 0.5 so
margin of error E = 0.2 /2 = 0.1
and we know Z value for 95% Cl is 1.96 from z table
so sample n = Z²/E² ( ( 1 - 0.5) 0.5 + ( 1 - 0.5) 0.5 )
n = 1.96²/0.1² ( ( 1 - 0.5) 0.5 + ( 1 - 0.5) 0.5 )
n = 192.08
so n is 192
Answer:
this is not a function because one y value has two different x values
Step-by-step explanation:
Answer:
(x) = 2x + 12
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = 
x - 6 ( multiply through by 2 to clear the fraction )
2y = x - 12 ( add 12 to both sides )
2y + 12 = x
change y back into terms of x with x = (x) , then
(x) = 2x + 12
Answer:
93 people.
Step-by-step explanation:
We have been given that of the 103 people enrolled in mathematics class, 91% are present.
To find the number of people present we have to find 91% of 103.
Since we can not have 0.73 of a person, therefore, 93 people are present.
