167 + 19 = 186x
186x + 16 = 1132
subtract 16 from both sides
186x = 1116
divide by 186 on both sides
x = 6
they bought 6 tickets total
Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:
where (a,f(a)) and (b,f(b)) are the given points.
Hence final answer is 2.
16x^2 − 8x + 1 = 0
<span>Part A:
</span>b^2 - 4ac for ax^2 + bx + c
16x^2 − 8x + 1 = 0
so in this case,
a = 16, b = -8, c = 1
b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution
Part B:
<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span>
= (2x - 9)(2x + 5)
set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
x = 9/2
x = 4.5
2x + 5 = 0
x = -5/2
x = -2.5
answer
x = -2.5 or x = 4.5
Hope it helps
Answer:
60
Step-by-step explanation:
So they are showing you a chart in which the column y is determined by the column x, so you divide y/x in any of the rows so that you get the relation.
100/4=25 (which is the same for every row)
It works pretty much the same for the graph, but the relation is different.
Now instead of a chart you have to figure out the values of x and y by looking at the points that make up the line. For example we have a point that is in the coordinate (2, 60), and that represents that the x value is 2 and its correspondent y is 60. And to find the relation we do it as in the first step but now with 2 and 60.
60/2=30 (which is the same for every point)
Finally we just calculate the value of y both in the graph and the chart when x=12
So for the chart: 12*25= 300
And for the graph: 12*30= 360
The difference between those two is 60.
One may note that (1.6 , 6) is just another way to say x = 1.6 when y = 6.
and that (8 , y) is another way to say x = 8 and y is who knows.
