Answer:
x= -3
Step-by-step explanation:
Answer:
(4, 3)
Step-by-step explanation:
Since, A (-4, 3) is reflected across the y-axis to obtain point B.
Therefore, y coordinate remains the same, x coordinate flips over the y axis to be positive.
(-4,3) ==>> (4,3)
If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.
If you're given the x-intercepts, you can determine the factors of the polynomial as follows: Take -3, change the sign and write (x+3). Take 5, change the sign and write (x-5). Then the eq'n of the parabola is
f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.
You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using
x= -b / (2a). Here, x = -(-2) / (2[1]), or x = 1
Find the y-coordinate by subbing 1 for x in the equation above:
y = (1)^2 - 2(1) - 15 = 1 - 2 - 15 = -16
The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.
Answer:
It would be B
Step-by-step explanation:
You need to add them both together and then once you do that divide everything and you'll get the answer of b.
Answer:
The total nuber of hours that the battery can be used over its lifetime is 600.
Step-by-step explanation:
We use an infinite geometric series to solve this question.
The sum of all values of an infinite geometric series is given by the following equation:
In which 
is the first term and r is the common ratio.
After each charging, a battery is able to hold only 97% of the charge from the previous charging.
This means that 
The battery was used for 18 hours on its first charge before it had to be recharged.
This means that 
What is the total number of hours the battery can be used over its lifetime?
The total nuber of hours that the battery can be used over its lifetime is 600.
