Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
4)
Non linear:
y = 6 -x^2
y = 2x^2 + 2
y = x^3
5)
Rate of change is also the slope
= (72 - 69) / (51 - 48)
= 3/3
= 1
Rate of change = 1
6)
First you need to find slope
(3,0) and (5,2)
Slope = (2 - 0)/(5-3) =2/2 = 1
Equation
y - 0 = 1(x - 3)
y = x - 3
Answer:
Tyler's function is correct as y = x - 3, it matched the above.
Answer:
5.3 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time it takes 1 person to preprate one bag = 2/3 min
Time it takes each friend of Ashley: 75% more than 2/3 min
75% × 2/3 minutes
=75/100 × 2/3 minutes
= 0.75 × 2/3
= 0.5 min
= 1/2 minutes
Friends = 2/3 min + 1/2 min = 7/6 min per friend
Time it takes Ashley and the 4 friends working along to prepare one bag:
Ashley's time per bag = 1 bag / (2/3) min
= 3/2 bag/min
Ashley's friends time per bag = 1 bag / (7/6) min
= 6/7 bag/min
Total = 3/2 bag/min + 4 × 6/7 bag/min
= (3/2 +24/7)
= 69/14 bag/min
Time it takes to prepare 1575 bags of samples = number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 319.56 min
Convert to hours:
356.56 min / 60 min per hour
= 5.3 hours
The answer is:
(7-3) = 5
(4) = 5
4 = 5
Answer:
The area is 12.56 units^2 (same as circumference?)
Step-by-step explanation:
Assuming pi is 3.14, the equation for the circumference is C = 2 pi r
Fill it out for the radius (r)
12.56 = 2 3.14 r
12.56 = 6.28 r
r = 2
With the radius, the equation for the area is A = pi r^2
Fill it out for the area
A = 3.14 2^2
A = 3.14 4
A = 12.56