Answer:
Zeros
x = -3 point (-3 ,0)
x = 3 point (3 ,0)
Step-by-step explanation:
Using a graphing calculator, we can easily check the intercepts of the equation
y = -x^2 +9
The formula to find the midpoint of a segment is ((x1 + x2)/2,),(y1 + y2)/2).
The x coordinate of the first point is -4, and the x coordinate of the second point is -8. The y coordinate of the first point is 6, and the y coordinate of the second point is -2. Now, we can plug these into our formula.
((-4 + (-8))/2), (6 + (-2))/2)) = (-12/2), (4/2) = (-6, 2)
So, (-6, 2) is the midpoint of the segment.
Answer: The equation is W^2 + 4W - 96= 0
{Please note that ^2 means raised to the power of 2}
Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.
That is,
L = W + 4 and
W = W
Also we have the area given as 96.
Remember that the area of a rectangle is given as
Area = L x W.
In this question, the Area is expressed as
Area = (W + 4) x W
96 = W^2 + 4W
Subtract 96 from both sides of the equation and we have
W^2 + 4W - 96 = 0.
We now have a quadratic equation from which we can determine the dimensions of the rectangle
Answer:
y= -x+10
Step-by-step explanation:
ok, so the basic formula is y=mx+b
m=slope and b= the intercept
the line crosses the y-axis at 10, so we know that 10=b. it is a downward going slope, so its negative. the formula for slope is rise/run, or in our case, fall/run. for every 2 it falls, it runs 2. that is -2/2, which can be simplified to -1. looking at the graph , it's hard to comprehend the question at first and it took me multiple times looking at the graph. I hope I helped some!
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.
At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)
Therefore, the number of people left after x songs would be represented by the equation:
y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
