Answer:
She took it off at 100 (because of the y-intercept) and it will last 20 hours because of where the line meets the x-axis.
Answer:
![y = x-1](https://tex.z-dn.net/?f=y%20%3D%20x-1)
![-x+\dfrac32=-y\\\implies y=x-\dfrac32](https://tex.z-dn.net/?f=-x%2B%5Cdfrac32%3D-y%5C%5C%5Cimplies%20y%3Dx-%5Cdfrac32)
The equations have the same slope but different y-intercepts. This means the lines are parallel and there is no solution (since they do not intersect).
30 degrees
Angles ACB and CAB are both 75 degrees due to the fact that they are 90 degree angles subtracting the 15 degrees. Then add the two together and subtract from 180.
The number of possible ways to choose according to the conditions given in each case are;
a). 524,160 ways
b). 4,368 ways
<h3>What is the number of possible ways to choose according to the conditions given in each case?</h3>
a). In the event that the order of the choice is taken into consideration, it follows that the number of possible choices can be determined by means of the permutation formula and is; 16P5.
= 16P5 = 16!/(16-5)!
= 524,160.
b). In the event that the order of the choice is not taken into consideration, it follows that the number of possible choices can be determined by means of the combination formula and is; 16C5.
16C5 = 16!/(16-5)! 5!
= 4,368.
Read more on permutation and combination;
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1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9