Answer:
x^2 + 4y^2 + 6x + 4
Step-by-step explanation:
Arranging the terms;
x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 6x + 2 + 2
x^2 + 4y^2 + 6x + 4
Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
Answer:
m = -8
b = -24
Step-by-step explanation:
To solve this problem use the hint and put this equation in y = mx + b form. This is called slope-intercept form.
In slope-intercept form, the coefficient of x (which is m) is the slope of the line and b is the y-intercept of the line.
Add 32x to both sides of the equation.
Divide both sides of the equation by -4.
Comparing this to y = mx + b, the -8 is "m" and -24 is "b". Therefore your final answers are:
m = -8
b = -24
Answer:
Step-by-step explanation:
x^2 + 44^2 = 55^2
x^2 + 1936 = 3025
3025-1936 = 1089
sqrt(1089) = 33
x = 33
Ax + b = r
subtract ax from both sides:-
ax - ax + b = r - ax
b = r - ax (answer)