Answer:
x= 1.5
y= 4.125
Step-by-step explanation:
Step one:
given the two equations
Step two:
let us subtract the equations
divide both sides by 16
put y= 4.125 in equation 2
Answer: h(x)
Explanation:
1) f(x) is not a function because there is an ambiguity for x = 4.
x = 4 belongs to both intervals - 2 ≤ x ≤ 4 and x ≥ 4
Then you find two different possible images for x: 0 and -(2)^2 = - 4.
That makes that f(x) be not a function.
2) similar thing happens with g(x)
as per the given relation the value of g(x) for x = 2 is 4 and 4+1 = 5. Which makes that g(x) be not a function.
3) j(x) is not a function because the image of x = -4 is -3(-4) = 12 and 3.
4) h(x) is a function, because there is not any ambiguity in its definition, for every x in its domain there is only one image h(x).
Answer:
FV= $2,041.29
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Number of periods (n)= 7 years
Interest rate (i)= 4.5% = 0.045
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 1,500*(1.045^7)
FV= $2,041.29
Answer:
74
Step-by-step explanation:
You just have to substitute r with 5.
Now, the equation looks like this:
Next, solve 
first according to PEMDAS
And equals 75
![\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%265%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B75%7D)
Lastly, do 
which equals 74
![\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%265%5C%5C-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B74%7D)
Therefore, 74 is your answer.
