Step-by-step explanation:
g(x) = ax²+bx+c
g(x)=−3x²−6x+5
a = -3, b= -6, c = 5
since a <0 , the function has only maximum value.
=> g'(x) = 0
-6x -6 = 0
-6x = 6
x = -1
the maximum value => g(-1) =
-3(-1)²-6(-1)+5 = -3+6+5 = 9
the domain : {x | x € Real numbers}
the range : {y| y ≤ 9, y € Real numbers}
the function is increasing for x < -1
the function is decreasing for x > -1
Answer:
The answer to your question is: - 7
Step-by-step explanation:
3125 = (- 1 - 18t) ⁵/³
(3125)³ = ( -1 - 18t)⁵
(3125)³/⁵ = - 1 - 18t
125 = - 1 - 18t
125 + 1 = - 18t
126 = - 18t
t = 126 / -18
t = -7
3125³ = 3.0518 x 10¹⁰
= 125
(a)
We are given
A worker on the production line is paid a base salary of $230.00 per week
so, base salary =230
Let's assume number pencils produced as x
plus $0.78 for each unit produced
now, we can find equation for earnings

now, we are given
her earnings of $446.84 for a week when she produced x units
so, we can set E(x)=446.84
and then we can solve for x







so, number of pencils = 278........Answer
(b)
If the worker had produced twice that number of units
so, number of pencils =2*278=556
now, we can find earnings

now, we can plug x=556

.................Answer
Answer: 3
Step-by-step explanation:
Multiply 1/4*12
Or divide 12 into 4 parts
Either way, you get 3