Answer:
the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:
Hello there!
To find the zeroes or the roots of a function, you just need to set the function equal to 0 then solve for x
f(x) = 2x² - 8x - 10
Set function equal to 0
2x² - 8x - 10 = 0
Now we can factorize the left side
2(x + 1)(x - 5) = 0
Then set factors equal to 0
x + 1 = 0 or x - 5 = 0
x = 0 - 1 or x = 0 + 5
x = -1 or x = 5
Thus,
The roots are -1 and 5
Let me know if you have any questions. As always, it is my pleasure to help students like you~!
Answer:
y = 3x + 2
Step-by-step explanation:
Let's identify two clear points on this line. I can see (0, 2) and (-1, -1)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-1 - 2) / (-1 - 0)
Simplify the parentheses.
= (-3) / (-1)
Simplify the fraction.
-3/-1
= 3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (0, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 3(0) + b
To find b, multiply the slope and the input of x(0)
2 = 0 + b
Now, we are left with 0 + b.
2 = b
Plug this into your standard equation.
y = 3x + 2
This is your equation.
Hope this helps!
