Answer:
b<-21
Step-by-step explanation:
1/3b+1<-6
1/3b<-7
*3 *3
b<-21
I believe the answer is b.
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
= 
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
