Answer:- The functions f(x) and g(x) are equivalent.
Explanation:-
Given functions:- 
and ![g(x)=\sqrt[3]{64^x }](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%20%7D)
Simplify the functions by using law of exponents
Thus 
and ![g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%7D%3D%5Csqrt%5B3%5D%7B%284%5E3%29%5Ex%7D%3D%20%5Csqrt%5B3%5D%7B4%5E%7B3x%7D%7D%3D%20%5Csqrt%5B3%5D%7B%284%5Ex%29%5E3%7D%3D4%5Ex)
⇒f(x)=g(x)
Therefore ,the functions f(x) and g(x) are equivalent.
Answer:
$5
Step-by-step explanation:
Let the cost of one burger be $b while the cost of one small fries be s
2 burgers and 2 small fries cost $14
This means that;
2b + 2s = 14
divide both sides by 2
b + s = 7 •••••••• (i)
Three burgers and four small fries cost $23
Mathematically;
3b + 4s = 23 •••••••• (ii)
From i , we can see that s = 7- b
we can now substitute this into equation ii
3b + 4(7-b) = 23
3b + 28 -4b = 23
4b -3b = 28 -23
b = $5
one burger costs $5
Answer:
- 100
- 80
- 100
- 80
x = 10
y = 6
Step-by-step explanation:
We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.
10x = 100
x = 10
We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.
100 + z = 180
z = 80
Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.
10y + 20 = 80
10y = 60
y = 6
Best of Luck!
Hello,
If you lose 3 pounds per week, after 3 weeks you lose (3)(3) = 9 pounds.
The change in your weight is represented by the integer 9 (pounds).
Hope this helps!
I am pretty sure it’s 14 I think but i don’t know for sure
