Answer:
3 hours
Step-by-step explanation:
let x = # of hours
Amy: y = 25 + 15x
Dan: y = 10 + 20x
Set the expressions equal to each other and solve for x
10 + 20x = 25 + 15x
20x = 15 + 15x
5x = 15
x = 3
An equation of a line parallel to y=x-6, must have the same slope.
In this equation:
y=mx+b (slope-intercept form)
m is the slope:
The slope of the equation y=x-6 is m=1 (the number beside "x").
Now we have a point (-1,5) and the slope m=1.
Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)
answer: the equation of the line in point-slope form is :
y-5=1(x+1)
And the eqution of this line in slope-intercept form is:
y=x+6
y-5=(x+1)
y=x+1+5
y=x+6
Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
8 were defective.
Defective percent = 8/84 x 100 = 9.5238% were defective.
Percent not defective = 100% - 9.5238% = 90.4761%
Rounding to the nearest tenth 90.5% were not defective.
The question doesn’t say how to round the answer so you may need to round differently than I did.
