Answer:
First number = 4
Second number = 9
Step-by-step explanation:
If the first number = x, the second number = x + 5.
The calculation can be expressed as follows:
x + 2(x + 5) = 22
First, expand the bracket 2(x + 5):
x + 2x + 10 = 22
Combine like terms:
3x + 10 = 22
Subtract 10 from both sides:
3x = 12
Divide both sides by 3:
x = 4
First number = 4
Second number = 4 + 5 = 9
Answer:
use this equation: 150=1x+0.5y
Step-by-step explanation:
a) standard form equation above
b) 150=1x+0.5y
subtract 1x from both sides
then divide all by 0.5 to get slope intercept form
c) plug it in: 150=1(40)+0.5y and solve to get 220
d) take the y intercept from answer b. and the y intercept shows how many you have to sell of each to reach you $150(I think, this part might be wrong...idk)
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We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.
To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h
1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1
2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04
3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232
4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258
5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593
Answer: y(0.5) = 1.4593