2(y-4)+5=3(y+2)
multiply the first bracket by 2
(2)(y)=2y
(2)(-4)=-8
multiply the second bracket by 3
(3)(y)=3y
(3)(2)=6
2y-8+5=3y+6
2y-3=3y+6
move 3y to the other side
sign changes from +3y to -3y
2y-3y-3=3y-3y+6
-y-3=6
move -3 to the other side
-y-3+3=6+3
-y=9
multiply both sides by -1 to get +y
(-1)(-y)=9(-1)
Answer:
y=-9
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.
Answer: C
Step-by-step explanation:
You can write each term into a fraction.
![\sqrt[5]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E4%7D)
becomes 
When you multiply 2 terms with the same base, you add the exponents.
is also the same as ![x\sqrt[5]{x^3}](https://tex.z-dn.net/?f=x%5Csqrt%5B5%5D%7Bx%5E3%7D)
You get this because ![\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E8%7D%20%3D%5Csqrt%5B5%5D%7Bx%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%7D)
. When you pull out 5 os x, you are left with x³ on the inside.
For the given question above, if you divide the 4 pizzas up between the 8 people you get the fraction 4/8. So this is TRUE.
<span>You then reduce the fraction by a common factor (in this case 2), giving you 1/2. </span><span>So each person gets 1/2 of a pizza. </span>
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 2, 6 ] , then
f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22
f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then
average rate of change = 
= 
= - 6
