Let's solve your equation step-by-step.
2x
/5 + 3 = x/10 - 1
Step 1: Simplify both sides of the equation.
2x
/5 + 3 = x/10 - 1
2/5x + 3 = 1/10x - 1
Step 2: Subtract 1/10x from both sides.
2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x
3/10x + 3 = -1
Step 3: Subtract 3 from both sides.
3
/10x + 3 - 3 = -1 - 3
3/10x = -4
Step 4: Multiply both sides by 10/3.
(10/3) * (3/10x) = (10/3) * (-4)
x = -40/3
Answer:
To find the mean, multiply the values by frequencies, add the subtotals, and divide by the total number of the frequency. Median : To find the median, calculate a running total of the frequencies, which is half the total, it contains the median that corresponds to the value.
Step-by-step explanation:
Answer:
Graph A → y=√x.
Graph B → y=(√x) - 1.
Graph C → y=√(x-1).
Graph D → y= -√x.
Graph E → y= -√(x-1)
Step-by-step explanation:
The graph 'A' intercepts the y-axis at (0, 0). Therefore it belongs to the function y=√x.
The graph 'D' is exactly the same graph 'A' but reflected across the x-axis. Therefore, it belongs to the function y=-√x.
The function 'C' is exactly the same function y=√x but translated one unit to the right, therefore, the solution function is y=√(x-1)
The graph 'E' is exactly the same graph 'C' but reflected across the x-axis, therefore the function is: y= -√(x-1)
In the options you have two times the function y=√x. I assume that's a mistake. The graph 'B' corresponds to y = (√x) - 1
In the rhombus, the diagonals are perpendicular.
We know, the sum of the measures of the triangle is equal 180°.
Therefore we have the equation:
<em>combine like terms</em>
<em>subtract 75 from both sides</em>
<em>divide both sides by 5</em>
<h3>Answer: x = 21°</h3>
Answer:
Step-by-step explanation:
The revenue r(x) from the sale of x coffee mugs is given by
r(x) = 6.5x
the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.
Profit = Revenue - cost
P(x) = r(x) - c(x)
P(x) = 6.5x - (0.75x + 1850)
P(x) = 6.5x - 0.75x - 1850
P(x) = 5.75x - 1850
A) profit when x = 500 is
P = 5.75 × 500 - 1850
P = 2875 - 1850
P = 1025
profit when x = 1000 is
P = 5.75 × 1000 - 1850
P = 5750 - 1850
P = 3900
profit when x = 5000 is
P = 5.75 × 5000 - 1850
P = 28750 - 1850
P = 26900
B) The profit function would be
P(x) = r(x) - c(x)
P(x) = 5.75x - 1850
