Let
x------> amount of money Theo has
y------> amount of money Denise has
z------> amount of money Rudy has
we know that
x+y+z=$45-----> equation 1
x=5+y-----> equation 2
y=11+z----> equation 3
substitute equation 2 in equation 1
[5+y]+y+z=45-------> 2y+z=40-----> equation 4
y=11+z----> equation 3
2y+z=40-----> equation 4
resolves the equations system
using a graph tool
see the attached figure
the solution is
y=17
z=6
x=5+y----> x=5+17----> x=22
the answer is<span>
Denise has $17</span>
Answer:
A: $0.19 / B: $0.16 / C: 36-ounce box
Step-by-step explanation:
For A-B, simply divide the cost by the number of ounces.
A: 4.59/24 = $0.19
B: 5.79/36 = $0.16
The better buy is the cheaper option per ounce which would be B.
C: The 36 ounce box of cornflakes.
Answer:
x= 3/8
Step-by-step explanation:
In pic
(hope this helps can I pls have brainlist (crown) ☺️)
The submarine would be 375 feet below sea level.
Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.
Answer:
∑ₙ₌₀°° (-3x)ⁿ / n!
R = ∞
Step-by-step explanation:
Maclaurin series is:
∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
Find the nth derivative and evaluate at x=0:
f(x) = e⁻³ˣ
f⁽ⁿ⁾(x) = (-3)ⁿ e⁻³ˣ
f⁽ⁿ⁾(0) = (-3)ⁿ
The Maclaurin series is therefore:
∑ₙ₌₀°° (-3)ⁿ xⁿ / n!
∑ₙ₌₀°° (-3x)ⁿ / n!
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-3x)ⁿ⁺¹ / (n+1)!] / [(-3x)ⁿ / n!]│< 1
lim(n→∞)│(-3x) n! / (n+1)!│< 1
lim(n→∞)│3x / (n+1)│< 1
0 < 1
The radius of convergence is infinite.