Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
Answer:
4, 2
Step-by-step explanation:
The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.
Answer:Gary made 15 baskets.
Susan made 10 baskets.
Bill made 17 baskets.
Step-by-step explanation:
Let x represent the number of baskets that Gary made.
Let y represent the number of baskets that Susan made.
Let z represent the number of baskets that Bill made.
Gary made 5 baskets than Susan this season. This means that
x = y + 5
Bill made 3 less than twice as many baskets as Susan. This means that
z = 2y - 3
Together, all three made 42 baskets. This means that
x + y + z = 42 - - - - - - - - - - 1
Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes
y + 5 + y + 2y - 3 = 42
4y + 2 = 42
4y = 42 - 2 = 40
y = 40/4 = 10
x = y + 5 = 10 + 5
x = 15
z = 2y - 3 = 2 × 10 - 3
z = 20 - 3 = 17
5x - 11 < -11
5x < 0
x < 0
4x + 2 > 14
4x > 12
x > 3
x<0 or x > 3
Answer:
A
Step-by-step explanation:
