Solve the following equation for L:
P= 2L + 2W
Answers
Add -2w to both sides of the equation
2L = p - 2w
Divide both sides by 2
2L = p - 2w
/2 /2
L = 1/2P - w
Related Questions
Fernando is starting a new sales job, and needs to decide which of two salary plans to choose from. For plan A, he will earn $100/week plus 15% commission on all sales. For plan B, he will earn $150/week plus 10% commission on all sales.a. Write an expression for each salary plan if s is Fernando's total weekly sales b. For what amount of weekly sales us plan B better than plan A?
(2)d=t(v sub i + v sub f) solve for v sub f
If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section
Determine the inverse for the function f(x)= 4x+20
Answers
Answer:
The producer will have maximum profit when x is 5000.
Step-by-step explanation:
Given C(x) = 0.000002x³ - 0.03x² + 400x + 80000
To find the level of production that will yield the maximum profit for the manufacturer, firstly, we differentiate C(x) to obtain C'(x), we then set the resulting quadratic expression to zero and solve. Whichever of the two values obtained from the quadratic equation will be tested to see what we want to find.
Differentiate C(x)
C'(x) = 3(0.000002)x² - 2(0.03)x + 400
= 0.000006x² - 0.06x + 400
Set C'(x) = 0
0.000006x² - 0.06x + 400 = 0
Solve using quadratic formula.
x = [-b ± √(b² - 4ac)]/2a
a = 0.000006
b = -0.06
c = 400
x = [-(-0.06) ± √((-0.06)² - 4(0.000006 × 400)]/2(0.000006)
= [0.06 ± √(0.0036 - 0.0096]/0.000012
= (0.06/0.000012) ± i√(0.006)/0.000012
= 5000 ± 6454.97i
x = 5000 + 6454.97i
Or
x = 5000 - 6454.97i
x = –3 or x = 2
x = –2 or x = 3
x = 2 or x = 3
Answers
Δ = b² -4ac = (-1)² -4·1·(-6) = 1 + 24 = 25
x₁= (-b + √Δ)/(2a) = (1 + √25)/2·1 = (1+5)/2 = 6/2 = 3
x₂= (-b - √Δ)/(2a) = (1 - √25)/2·1 = (1-5)/2 = -4/2 = -2
x=3 or x=-2
we know that
The Zero Product Property states that if , then either
or
(or both)
we have
rewrite the expression
so
therefore
the answer is the option
x = –3 or x = 2
Answers
Answer:
16° F.
Step-by-step explanation:
Given:
The current temperature in Small town is 27 °F.
This is 5 degrees less than twice the temperature that it was six hours ago.
Question asked
What was the temperature in Small town six hours ago?
Solution:
Let the temperature in Small town six hours ago was
As given that the current temperature in Small town is 27 °F and this is 5 degrees less than twice the temperature of six hours ago, the equation will be:-
27 °F = 5 degrees less than twice the temperature of six hours ago
27 °F = °
Adding both sides by 5
Dividing both sides by 2
Thus, the temperature in Small town six hours ago was 16° F.
L(t) = 727+22 sin
26(t - 80.75)
365
When is the longest day of the year? Give an exact answer.
days since the beginning of the year
Answers
Answer:172 days
Step-by-step explanation:
B. x = my + b
C. mx = y + b
D. mx + by = c
Answers
A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure
Answers
6 souvenir brochures must be purchased in order Which is the correct answer would be an option (A)
What is the Linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
For the functions, we have that:
The set-up fee is the admission fee.
The price per souvenir brochure is the slope.
Hence the functions are given by:
R(x) = 10 + 6.25x
S(x) = 13 + 5.75x
We have been given the total cost at Concert R and Concert S to be the same.
So R(x) = S(x).
⇒ 10 + 6.25x = 13 + 5.75x
⇒ 0.5x = 3
⇒ x = 3/0.5
⇒ x = 6.
Therefore, 6 souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same.
Learn more about the Linear equations here:
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Answer:
6 souvenir brochure
Step-by-step explanation:
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