B = A/h
hB = A
h = A/b
the answer is B
C = 220T + 1890.
Solve the equation for T.
220T = C - 1890
T = C/220 - 8.6
The steel produced is expected to be sold at a price of $310 per ton.
310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.
y = 310x
Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.
* Here, note that the cost of production and tons of steel in the first equation is in the millions. The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1
The unit multiplier of all variables must be specified as same. Either everything is in millions or not.
Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.
S = 310T
Set equal to Cost equation.
220T + 1980 = 310T
Solve for T, million tons of steel produced.
1980 = 310T - 220T
1980 = 90T
T = 1980/90
T = 22 million tons steel produced
Answer:
56in3
Step-by-step explanation:
X^2 - y^2 = a
2xy = b
x^2 + y^2 = c
A polynomial identity is an equation that is always true.`1
You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.
1) Step 1:
[x^2 + y^2]^2 = x^4 + 2(xy)^2 + y^4 = c^2
2) Step 2:
[x^2 - y^2] = x^4 - 2(xy)^2 + y^2 = a^2
(2xy)^2 = 4(xy)^2 = b^2
x^4 - 2(xy)^2 + y^2 + (2xy)^2 = x^4 + 2(xy)^2 + y^2
------------------------ ---------- --------------------------
↓ ↓ ↓
a^2 b^2 = c^2
Answer: the identity is
c^2 = a^2 + b^2 equivalent to
(x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2
Answer:
see the attached graph
Step-by-step explanation:
When an equation is in <em>standard form</em> (or almost standard form), I like to put it into <em>intercept form</em> for graphing. Here, it is convenient to divide the equation by 2 to put it in standard form (coefficients mutually prime).
x +3y = -3
Now, it is convenient to divide by the constant on the right (-3) to put the equation into intercept form:
x/(-3) +y/(-1) = 1
The denominators are the x- and y-intercepts, respectively. Plot those, (-3, 0) and (0, -1), and draw the line through them.