Answer:
y-5=3(x-1)
Step-by-step explanation:
- The graph shows an equation y=a+bx, that has an intercept "a", in a=2 (value of y when x=0), and a slope "b", b=3 (to see the slope, watch the change in y when x changes a unit, remembering that each square in the graph represents a unit - for example, when y=2, a change on x, from x=0 to x=1 would result in y=6).
- Then, to know wich of the equations presented is the one that represent the graph, we should search that equation that meets the following requirements: <u>intercept a=2 and slope b=3</u>.
- The first expression can be rewrite as follows: y=6-13x (to arrive to this expression, we apply distributive property in the right ide of the equation, and then we sum 4 both sides of the equation). This equation does not meet our requirements.
- The second expression can be rewrite as follows: y=4+13x (we apply the same steps than we apply in the previous example). Again, this equation does not meet the requirements (intercept a=2 and slope b=3).
- The third expression can be rewrite as follows: y=1-3x (to arrive to this expression, we apply distributive property on the right side of the equation, and then we subtract 2 both sides of the equation. This expression does not meet the requirements either.
- Finally, the last equation can be rewrite like y=2+3x (to arrive to this expressionn, we apply distributive property in thesecond side of the equation, and then we add 5 both sides of the equation. This expression actually meet the requirements! It has an intercept equal to 2 and its slope is 3.
Answer:
<em>k=2/3</em>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form <em>y/x = k or y = kx</em>
In this problem we have <em>3y = 2x</em>
Isolate the variable y
Divide by 3 both sides
<em>y = 2/3x</em>
Remember that
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
The slope of the line m is
<em>m = 2/3</em>
therefore
The constant of proportionality k is
<em>k = 2/3</em>
<em>I hope this helped have a wonderful day/night ! <3 </em><em>(depends what time it is)</em>
5 is in the tens place, 4 is in the ones place, the other 4 is in the tenths, and 5 is in the hundreths.
Answer:
soln,
x=63°
Step-by-step explanation:
yea , 63° is the answer you asked
The break-even analysis lets you determine what you need to sell, monthly or annually, to cover your costs of doing business—your break-even point. The break-even analysis table calculates a break-even point based on fixed costs, variable costs per unit of sales, and revenue per unit of sales.