Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = 
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 = 
( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer: x=−5 or x=5
Step-by-step explanation:
−3x4+27x2+1200=0
Step 1: Factor left side of equation.
−3(x2+16)(x+5)(x−5)=0
Step 2: Set factors equal to 0.
x2+16=0 or x+5=0 or x−5=0
x=−5 or x=5
Replace a with 4 and b with -12
3(4) + -12/4 + 4(4) = 16+-12/4+4*4 = 29
