Answer:
The x-intercept=7
Step-by-step explanation:
Step 1
Given the equation;
y=-x+7, is a linear equation
Step 2
The x-intercept is the value of x when the graph crosses the x-axis. At this point, the value of y=0
Step 3
Substitute the value of y in the linear equation above to solve for the x-intercept.
Given;
y=0
And the linear equation is;
y=-x+7
replace;
0=-x+7
x=7
The x-intercept=7
Answer:
Area of the rectangle = 700 - 2w²
Step-by-step explanation:
In the picture attached one side of the rectangle is Barn.
Two perpendicular sides of the barn are width 'w' and one parallel side to the barn is 'l'.
Jamal has the fencing having length = 700 feet
So, to cover three sides of the rectangle length of wire required = (2w + l) feet
This length should be equal to the length of the wire, which is to be used to cover these three sides.
(2w + l) = 700
l = 700 - 2w ------(1)
Area of the rectangle = lw
By replacing the value of l from equation 1
Area = w(700 - 2w)
Area = 700w - 2w²
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer:
m = - 3/4
Step-by-step explanation:
m = (7-4)/(0-4)
= 3/- 4
= - 3/4
