Answer:
A. (0,4)
Step-by-step explanation:
You can calculate the y intercept when x = 0.
Substitute 0 for x:
y = (-4/3)(0) + 4
= 0 + 4
= 4
A:12/3 = -4
b:-12/3 = -4
c:-12/-12 = 4
e:-5/5 = -1
f:5/-5 = -1
g:-5/-5 = 1
Answer:
200
Step-by-step explanation:
we look at the tens place which is 8 since it greater than 5 we turn 8 and the number after into zeros and the 1 into a 2.
hope this welps :3
Answer: ![14*\sqrt[3]{x^{10}}](https://tex.z-dn.net/?f=14%2A%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D)
Step-by-step explanation:
First, let's remember the rules:
![x^{1/n} = \sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%7D)
such that:
![\sqrt[n]{x^m} = x^{m/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3D%20x%5E%7Bm%2Fn%7D)
Now we have the equation:
![4*\sqrt[3]{x^{10}} + 5*x^3*\sqrt[3]{8*x}](https://tex.z-dn.net/?f=4%2A%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%2B%205%2Ax%5E3%2A%5Csqrt%5B3%5D%7B8%2Ax%7D)
First, let's rewrite the roots as we saw above:
![4*x^{10/3} + 5*x^3*\sqrt[3]{8}*x^{1/3} = 4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3}](https://tex.z-dn.net/?f=4%2Ax%5E%7B10%2F3%7D%20%2B%205%2Ax%5E3%2A%5Csqrt%5B3%5D%7B8%7D%2Ax%5E%7B1%2F3%7D%20%3D%204%2Ax%5E%7B10%2F3%7D%20%2B%205%2A%5Csqrt%5B3%5D%7B8%7D%2Ax%5E%7B3%20%2B%201%2F3%7D)
We also know that: ![\sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
and that: 
Replacing those two things in our equation, we get:
![4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3} = 4*x^{10/3} + 5*2*x^{10/3} = (4 + 5*2)*x^{10/3}](https://tex.z-dn.net/?f=4%2Ax%5E%7B10%2F3%7D%20%2B%205%2A%5Csqrt%5B3%5D%7B8%7D%2Ax%5E%7B3%20%2B%201%2F3%7D%20%3D%204%2Ax%5E%7B10%2F3%7D%20%2B%205%2A2%2Ax%5E%7B10%2F3%7D%20%3D%20%284%20%2B%205%2A2%29%2Ax%5E%7B10%2F3%7D)
![(4 + 10)*x^{10/3} = 14*\sqrt[3]{x^{10}}](https://tex.z-dn.net/?f=%284%20%2B%2010%29%2Ax%5E%7B10%2F3%7D%20%3D%2014%2A%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D)
Where in the final step, I returned to the cubic root form.
Answer:
a) 4x - 8y
b) 4 × x - 8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
Step-by-step explanation:
a) start with the parentheses
1/3 (6x - 12y)
multiply 6x and -12y by (1/3)
2x - 4y
so now the equation is 5x -3x -4y + 2x -4y
add together the like terms
5x -3x + 2x = 4x
-4y -4y = -8y
so we have 4x - 8y
b) im not good with factored form but i believe this is right
take 4x and separate them by turning it into 4 × x and same for -8y turn it into -8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
im not sure how to prove them equal to the original expression i dont really remember that but i hope this helped
