Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Let analyse each table
X Y ΔY/ΔX
1 5 xxxxxx
2 11 11 - 5 = 6
3 29 29 - 11 = 18
4 83 83 - 29 = 54
.....................
We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx
1 7 7 - 5 = 2 xxx
2 13 13 - 7 = 6 6-2 = 4
3 23 23 - 13 = 10 10-6 = 4
..............................
It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values
X Y ΔY/ΔX
3 20 xxxxxx
6 18 2 / 3
9 16 2 / 3
15 12 2 / 3
..............
It is a linear because ΔY/ΔX = 2/3 are constant for all values
I'm assuming the die is 6 sided. The number of leaves required to show the outcome would be the number of ways you can get any number on the die times the number of ways you can pick a number on the spinner. That would be 6*8=48. I'm also assuming you're talking about the final outcome because the answer varies on whether you start with spinning the spinner or rolling the die.
Answer:
w ≥ 6
l ≥ 11
Step-by-step explanation:
The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.
34 ≤ 2*(5+w) + 2w
34 ≤ 10+2w+2w
34 ≤ 10+4w
24 ≤ 4w
6 ≤ w
This means the width must be at least 6 so the solution is w ≥ 6.
To find the length substitute 6 into l ≤ 5+w.
l ≤ 5 + 6
l ≤ 11
The length is l ≥ 11.
Answer:
<h2>
Function is
y = x.</h2><h2>
Domain: 
.</h2><h2>
Range: 
.</h2>
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is 
, where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get 
and 
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is .
Range is
Answer:
Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.
The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:
m = (y2 - y1)/(x2 - x1)
m = (15 - 5)/(-6 - 4)
m= 10/-10
m = -1
Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:
y = mx + b
Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)
5 = -1(4) + b
5 = -4 + b
9 = b
The equation of the line is:
y = -x + 9
