Answer:
Simplifying
lx2 + mx + n = 0
Solving
lx2 + mx + n = 0
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-1mx' to each side of the equation.
lx2 + mx + -1mx + n = 0 + -1mx
Combine like terms: mx + -1mx = 0
lx2 + 0 + n = 0 + -1mx
lx2 + n = 0 + -1mx
Remove the zero:
lx2 + n = -1mx
Add '-1n' to each side of the equation.
lx2 + n + -1n = -1mx + -1n
Combine like terms: n + -1n = 0
lx2 + 0 = -1mx + -1n
lx2 = -1mx + -1n
Divide each side by 'x2'.
l = -1mx-1 + -1nx-2
Simplifying
l = -1mx-1 + -1nx-2
Step-by-step explanation:
Hope this helped you!
Answer:
30100-2150x and it would take 14 minutes to reach the ground.
Step-by-step explanation:
30100 feet is out starting y coordinate, and since 2150 is always changing depending on the amount of time we multiple it by x (the amount of minutes) therefor we can create the equation 30100-2150x and when we plus in 14 the equation would equal 0
Explanation:
<h3>S + T = R</h3>
Suppose we define ...
a(x) = 2x, for 0 ≤ x ≤ 1
b(x) = x^2, for 0 ≤ x ≤ 1
Then we have the following:
c(x) = a(x) +b(x) = 2x +x^2, for 0 ≤ x ≤ 1
S = max(a(x)) = a(1) = 2
T = max(b(x)) = b(1) = 1
R = max(c(x)) = c(1) = 2 +1 = 3
This value of R satisfies S + T = R.
We note that for x=p=1, we have S = a(p), T = b(p), and R = c(p). The first attachment illustrates this case.
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<h3>S + T ≠ R</h3>
Suppose we define ...
a(x) = x, for 0 ≤ x ≤ 1
b(x) = 1 -x^2, for 0 ≤ x ≤ 1
c(x) = a(x) +b(x) = x + 1 -x^2, for 0 ≤ x ≤ 1
Then we have the following:
S = max(a(x)) = a(1) = 1
T = max(b(x)) = b(0) = 1
R = max(c(x)) = c(0.5) = 1.25 ≠ 1 + 1 = 2
This value of R does not satisfy S + T = R.
We note that for p, q, r we have S = a(p), T = b(q), R = c(r) and p≠q≠r. The second attachment illustrates this case.
Answer:
38 meters below sea level.
Step-by-step explanation:
if the sub dives 155 BELOW sea level, this equals -155.
then it RISES 117 meters, which equals +117.
we can make this into an equation
-155+117=-38!
the location of the sub is 38 meters below sea level.
Answer:
40%
Step-by-step explanation:
40 is 40% of 100, you don't need a calculator for that, so, it's a 40% increase
hope this helps:)