Step-by-step explanation:
8x2 + 16x + 3 = 0
a is 8 b is 16 c is 3
multiply 8 and 3 = 24
what 2 numbers when multiplied make 24 and when added make 16?
use quadratic formula
a is 8 b is 16 c is 3
x= (-b +- (√b^2-4ac))/2a
x= (-16 +- (√b^2-4(8)(3)))/2(8)
x= (-16 +- (√16^2-96))/16
x= (-16 +- (√256-96))/16
x= (-16 +- (√160))/16
x= (-16 +- (4√10))/16
x= -1 +- (√10/4)
split up the + and -
x= -1 - √10/4 = -0.209431
x= -1 + √10/4 = -1.79057
Answer: f(x) = x9h(x)
h(-1) = 2
h'(-1) = 5
We need to find h(x) first. Once we have h(x), we can find the derivative of f(x). Then evaluate the derivate when x = -1.
We know that derivative is the slope of the tangent line. In this case, the slope of the line tangent to h(x) at x=-1 is 5.
h(-1) = 2 has a coordinate point of (-1, 2).
2 = 5(-1) + b
2 = -5 + b
7 = b
h(x) = 5x + 7 -----> equation of the tangent line
f(x) = x9(5x + 7)
f(x) = 5x10 + 7x9
Take the derivative of f(x).
f'(x) = 50x9 + 63x8
f'(-1) = 50(-1)9 + 63(-1)8
f'(-1) = -50 + 63
f'(-1) = 13
Step-by-step explanation:
I believe it would be A D E
not positive but pretty sure
Answer: he sent 574 text messages that month
Step-by-step explanation:
Let x represent the number additional text messages that he sent that month.
If his text messaging complain cost $9 for the first 550 text messages and .20 for additional text messages, it means that the total cost of sending x text messages for a month would be
9 + 0.2(x - 550)
If Tj owes $13.80 for text messaging in the month of March, it means that
9 + 0.2(x - 550) = 13.8
0.2x - 110 = 13.8 - 9
0.2x = 13.8 - 9 + 110
0.2x = 114.8
x = 118.8/0.2
x = 574
56/23= 2.43 or 2 pages per 1 minute
