Answer:
Step-by-step explanation:
Step-by-step explanation:
Say y=ax+b. It goes through (0,8) and (4,0). Therefor we can say 8=a(0)+b which gives us b=8. Then we fill in (4,0) which results in 0=a(4)+8. Given that, a=-2. so y=-2+8
3x-6=6x+24
-6=3x+24
-30=3x
x=-10
The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06
<h3>
How to find gross income</h3>
Total = 10.75(1.5)(x) + 10.75(2)(y)
where,
- x = hours worked on Saturday = 4.5 hours
- y = hours worked on Sunday = 5 hours
Total = 10.75(1.5)(4.5) + 10.75(2)(5)
= 72.5625 + 107.5
= $180.0625
Approximately,
$180.06
Learn more about equation:
brainly.com/question/2972832
The equation of the tangent line will be y = -3x + 8.
<h3>What is a linear equation?</h3>
A straight line on the coordinate plane is represented by a linear equation.
A linear equation always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given curve
f(x) = x² - 7x + 12
The slope of the tangent equation = the first derivative of a function at that point (2,2).
So,
f'(x) = m = 2x - 7
At (2,2) ⇒ m = -3
Now let's say the equation of tangent
y = mx + c
2 = (-3)2 + c
c = 8
So,
Equation of tangent line on the curve f(x) = x² - 7x + 12 will be y = -3x + 8.
For more about the linear equation,
brainly.com/question/12974594
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