Answer:
D
Step-by-step explanation:
h(x) = 6x + 1
y = 6x + 1
switch x and y
x = 6y + 1
solve for y
6y = x - 1
y = (x-1) / 6
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3
step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
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:
The ordered pair is (1, 2) ⇒ A
Step-by-step explanation:
In the function f(x) = y
- x is the domain of the function
- y is the range of the function
- The domain is all the x-coordinates of the points lie on the graph of the function
- The range is all the y-coordinates of the points lie on the graph of the function
That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function
∵ f(x) = 2x
→ That means y = 2x
∵ x = 1
→ Substitute the value of x in the function above
∴ f(1) = 2(1)
∴ f(1) = 2
→ That means at x = 1, y = 2
∴ The ordered pair is (1, 2)
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58
/15
Decimal Form:
3.8
6
Mixed Number Form:
3 13
/15
Step-by-step explanation: