Answer:
R=-12
Step-by-step explanation:
6(1 + 3R) = 2(10R - 9) -4R
Distribute 6 through the parentheses
6+18R=2(10R-9)-4R
Distribute 2 through the parentheses
6+18R=20R-18-4R
Collect like terms
6+18R=16R-18
Move the variable to the left-hand side and change its sign
6+18R-16R=-18
Move the constant to the right-hand side and change its sign
18R-16R=-18-6
Collect like terms
2R=-18-6
Calculate the difference
2R=-24
Divide both sides of the equation by 2
R=-12
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Answer:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
Answer:
C.
Step-by-step explanation:
Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.
In other words:
Where x is our unknown angle. So, we need to solve for x.
On the left, add 55 and 20:
Subtract 75 from both sides. The left side cancels:
Therefore, the third angle is 105 degrees.
Our answer is C.
Subtract L from both sides.
the expression now becomes,
<span>S−L=−rL</span>
2)Divide by L on both sides.
<span><span><span>S−L</span>L</span>=−r</span>
3)Multiply with a negative sign on both sides in the final step to obtain the expression in terms of r so the answer is<span> #(L-S)/L = r#</span>
The answer to this equation is x=5.
