Answer:
5x + 4y + 12 = 0
Step-by-step explanation:
Start with the point-slope equation of a straight line: y - k = m(x - h):
Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).
We must put this equation into "standard form" Ax + By + C = 0.
Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or
4y - 28 + 5x + 40 = 0
Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.
To find the X value of the solution, you would set the two equations equal to each other bu substitution:
if <span>y = -2x + 5 and y = 3x - 2,
</span>-2x + 5 must be equal to 3x - 2
solve for x... you should get 7/5
then, plug that into one of the original equations as X and you would get the Y value, 11/5
This point, (7/5,11/5) is where the two lines cross
Answer:
3 orders of CDs
Step-by-step explanation:
So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?
6/100 = 0.06
0.06 x 5 = 0.3
$0.30
Answer:
The probability that the selected person is a woman engineering major is 0.0396.
Step-by-step explanation:
The proportion of students at the university who are women is 0.42.
<em>P (W) = 0.42</em>
The proportion of students at the university who are engineering majors is 0.18.
<em>P (E) = 0.18</em>
The proportion of engineering majors that are women is 0.22.
<em>P (W|E) = 0.22</em>
The proportion of students at the university that are woman and engineering major is:
Thus, the probability that the selected person is a woman engineering major is 0.0396.
