Answer:
45
Step-by-step explanation:
So you have the equation:
(3x - 5) ^(x) - 19
and the value x = 3,
so just substitute in and simplify:
(3*3 - 5) ^ (3) - 19
(9 - 5)^(3) - 19
(4)^(3) - 19
64 - 19
45
It would be (A) , the point 9 (38.9) only needs another point to be a whole tenth .
Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees. Then:
The 3 angles are x, x + 40 and x + 20.
As there are 180 degrees in a triangle:
x + x + 40 + x + 20 = 180
3x = 180 -40--20 = 120
x = 40 degrees.
The other 2 angles are 60 and 80 degrees.
The will intersect at a point with a positive x coordinate.
We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.
Answer:
1) 
2) ![\sqrt[3]{y^5}=y^{\frac{5}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E5%7D%3Dy%5E%7B%5Cfrac%7B5%7D%7B3%7D)
3) ![\sqrt[5]{a^{12}}=a^{\frac{12}{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Ba%5E%7B12%7D%7D%3Da%5E%7B%5Cfrac%7B12%7D%7B5%7D%20%7D)
4) ![\sqrt[4]{z^{9}}=z^\frac{9}{4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bz%5E%7B9%7D%7D%3Dz%5E%5Cfrac%7B9%7D%7B4%7D)
Step-by-step explanation:
1) 
We know that 
So,
2) ![\sqrt[3]{y^5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E5%7D)
We know that ![\sqrt[3]{x}=x^{\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D)
So,
3) ![\sqrt[5]{a^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Ba%5E%7B12%7D%7D)
We know that ![\sqrt[5]{x}=x^{\frac{1}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B5%7D)
So,
4) ![\sqrt[4]{z^{9}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bz%5E%7B9%7D%7D)
We know that ![\sqrt[4]{x}=x^{\frac{1}{4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B4%7D)
So,
