a) The slope of the line relating Alyssa's sales to earnings is given by
slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
slope = (110 -80)/(200 -10) = 30/200 = 0.15
The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
y = slope*x + y-intercept
To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.
The equation that gives Alyssa's daily earnings based on her total sales is
y = 0.15x +80
b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.
c) The slope of the equation represents Alyssa's commission rate.
d) The y-intercept is 80.
Answer:
Step-by-step explanation:
F(x) = x² - 2x + 1
= (x - 1)²
By comparing this equation with the vertex form of the quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex
Vertex of the parabola → (1, 0)
x-intercepts → (x - 1)² = 0
x = 1
y-intercepts → y = (0 - 1)²
y = 1
Now we can draw the graph of the given function,
From this graph,
As x → 0,
f(0) = (0 - 1)²
= 1
Since, 
Therefore, given function is continuous at x = 0.
Answer:
6 4/7
Step-by-step explanation:
I personally break it down like this:
Is 2 greater than 7? No so that means the whole number would stay 5.
Same for the other number. Then add the whole numbers attached to the fraction. Which is 6. Then go to the fraction. 2/7 + 2/7 is 4/7. This cannot be simplified anyfurther.
Answer:
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Answer: X = 7
Step-by-step explanation:
Or, you don't have to plug any of those in and solve for x
subtract 6 from both sides
2x = 14
divide 14 by 2x
x=7
