Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
Step-by-step explanation:
First we solve it.
I'll use substitution.
In the first equation y equals -2x+2 so we can apply that to the second equation
2y + 4x = 4
2(-2x+2) + 4x = 4
distribute
-4x+4+4x=4
simplify
4=4
To figure out how many solutions it has:
•If both side of the equal sign are exactly the same: Infinitely many
ex: 6x=6x
•If both sides of the equal sign do not match when completely simplified: No solutions
ex: 3x=-5x
•If it creates an equation: 1 solution
ex: x=3+2y
Since both sides of the equal sign are 4, we have infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
original price = $129
20% discounted price = $103.2
adding 7% sales tax = $110.424
OPTION B = 110.42
3/7 = 9/x
cross multiply because thats how u solve proportions
(3)(x) = (7)(9)
3x = 63
x = 63/3
x = 21
and if u will notice : 3/7 and 9/21 ....9/21 reduces to 3/7....so these are equivalent fractions...because proportions are nothing but equivalent fractions
