Answer:
10 degrees
Step-by-step explanation:
Angles WXZ and ZXY are complementary angles, which always equals 90 degrees. 90 minus 80 equals 10, therefore the measure of angle ZXY is 10 degrees.
Answer:
.
Step-by-step explanation:
Using first order linear differential equation:
finding integrating factor:
I.F = 
I.F =
now,
hence the solution is
If you would like to find the x-intercepts of the function f(x) = - 2 * x^2 - 3 * x + 20, you can calculate this using the following steps:
f(x) = - <span>2 * x^2 - 3 * x + 20
</span>f(x) = - (2x - 5) * (x + 4)
1. x = - 4
2. x = 5/2
(x, y) = (-4, 0)
The correct result would be (-4, 0).
Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
