Answer:
Option (A)
Step-by-step explanation:
By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = 
Option (A). (1, 10)
f(1) = 
10 = 10
True.
Therefore, point (1, 10) lies on the graph.
Option (B). (0, 10)
f(0) = 
10 = 2
Not true.
Therefore, point (0, 10) doesn't lie on the graph.
Option (C). (10, 1)
f(10) = 
1 = 19531250
Not true.
Therefore, point (10, 1) doesn't lie on the graph.
Option (D). (0, 0)
f(0) =
0 = 2
Not True.
Point (0, 0) doesn't lie on the graph.
Option (A) will be the answer.
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Answer:
The slope is 
.
Step-by-step explanation:
The equation is conveniently in slope-intercept form.
m - slope
b - y-intercept
-2/3 is in m's spot, so it is the slope of the equation.
Hope this helps.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. But I would show you how to solve the problem.
Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).
Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.
Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.
Answer: 1230
Step-by-step explanation: 22 hours that's how much she will be studying in total till the seventh day
and 105 mins till the seventh day
so she will be studying 1230 in total so put 1230 at the blank
1230 is your answer
