Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
Answer:
Expression representing number of text messages sent on Tuesday = 2x , where x = text messages sent on Monday
Step-by-step explanation:
Let number of messages sent on Monday = x
So, number if messages sent on Tuesday = 2 times x = 2x
Number of texts sent on Wednesday = 12 more than texts sent on Tuesday = 2x + 12
Number of texts sent on Thursday = Half the texts sent on Wednesday = 1/2 (2x + 12) = x + 6
37 because theres 32 plus 5 which makes it 37
Answer:
Step-by-step explanation:
Hope this helps.
Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
