Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
Answer:
3.11
Step-by-step explanation:
f(4)=f(4-1)+2
=f(3)+2
=f(3-1)+2+2
=f(2)+4
=f(2-1)+2+4
=f(1)+6
=5+6 (f(1)=5)
=11
Solution:
<u>Note that:</u>
- Han's house = 450 m from school
- Lin's house = (450 - 135) from school
<u>Looking at the options, we can tell that the letter "z" represents Lin. </u>
- => z = (450 - 135)
- => z = 450 - 135
This option matches with Option D.
Option D is correct.
Answer:
Option C. exponential decay function
Step-by-step explanation:
In this problem we have a exponential function of the form

where
y ---> is the money that is in the bank
x ----> number of days
a ---> is the initial value or y-intercept
b is the base of the exponential function
r ---> is the rate of change
b=(1+r)
In this problem we have that
Each day 1/2 of the money that is in bank value is removed
so
---> is negative because is a decreasing function
The value of b is equal to


The value of b is less than 1
b<1
That means -----> Is a exponential decay function