Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
The indefinite integral will be 
<h3 /><h3>what is indefinite integral?</h3>
When we integrate any function without the limits then it will be an indefinite integral.
General Formulas and Concepts:
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
![\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx](https://tex.z-dn.net/?f=%5Cint%20%5Bf%28x%29%5Cpmg%28x%29%5Ddx%3D%5Cint%20f%28x%29dx%5Cpm%20%5Cintg%28x%29dx)
[Integral] Rewrite [Integration Property - Addition/Subtraction]:
[Integrals] Rewrite [Integration Property - Multiplied Constant]:
[Integrals] Reverse Power Rule:
Simplify:
So the indefinite integral will be
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Answer:
The area is 45 units squared
Step-by-step explanation:
If the rectangle's width is 3 units, and the length is 5 times then:
5 x 3 = 15
So the length is 15 units
The area is length times width
15 x 3 = 45
The area is 45 units squared
Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)
