Answer:
<em>y=-4x+3</em>
<em>This is the slope-intercept form where m=-4 and b=3</em>
Step-by-step explanation:
<u>Equations of the line</u>
There are several forms to express the equation of a line in the plane.
The point-slope form is:
y-k=m(x-h)
Where (h,k) are the coordinates of the point and m is the slope.
The slope-intercept form is:
y=mx+b
Here, b is the value of the y-intercept.
The given line passes through (3,-9) and has a slope of m=-4. The point-slope form is:
y-(-9)=-4(x-3)
Operating:
y+9=-4x+12
Subtracting 9:
y=-4x+3
This is the slope-intercept form where m=-4 and b=3
Answer:
4 hours
Step-by-step explanation:
f the circumference of the circular garden =63 yards
Circumference of a Circle =2πr=πd (d=diameter)
Therefore:
πd= 63
diameter of the circular garden =63/3.14=20 yards
If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:
20 yards/5 yard per hours = 4 hours
It will take him 4 hours to dig across the circular garden.
Answer: aWX+bºx=abvX
o maXmy
Wi-m/xy
Step-by-step explanation:
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus, . We use this to find k.
Then
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.