Answer:
55/18
Step-by-step explanation:
f(x) = 2/3*12 +3
= 1/18 +3
=55/18
Actually, she worked for seven hours, so I'll solve for that.
7.20 x 3 = 21.6
6.75 x 4 = 27
21.6 + 27 = 48.6
48.6 /2 = 24.3
Her average should be $24.3 If she did work six hours, just multiply 6.75 x 3 and do what I did.
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:
Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For 
to be defined:
Therefore, 
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer: y = 2000x + 89000
Step-by-step explanation:
Given that;
initial purchase amount = $89,000
price after 6 years = $ 101,000
years = 6
now
slope = ( 101000 - 89000) / 6
slope = 12000 / 6
slope = 2000
therefore the linear equation that models the value of the house after x years will be;
y = 2000x + 89000
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
