Answer:
6. D
7. B
Step-by-step explanation:
Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.
Together her score will be 56 + 4x.
She wants to score more than 80 or > 80.
So her test can be represented as the inequality 56 + 4x > 80.
This is solved using inverse operations.
56 + 4x > 80
4x > 24
x > 6
This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.
12x^3 +2x^2-30x = 8
2x( 6x^2 +x -15) = 8
so 2x= 8, x=4
(2x) ( 2x-3) ( 3x+5) = 8
2x-3 = 8
2x= 11
x= 5.5
3x+5=8
3x= 3
x=1
Answer:
π/3
Step-by-step explanation:
We have to find the principal value of 
arc sin means sin inverse. The sin inverse is a one to one function with its range between 
The principal value of the arc sin will lie within the above given range.
value of sin (60) or sin(
) is 
.
lies between 
So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3
can you show me a picture then maybe i can help you
Answer:
4x-4/x^2
Step-by-step explanation:
So we can first write out the equation.
It would be:
8/2x-4/x^2
First we can get a common denominator:
8/2x*x^2/x^2=8x^2/2x^3
and
4/x^2*2x/2x=8x/2x^3
Now we have
8x^2/2x^3-8x/2x^3
or
8x^2-8x/2x^3
We can divide everything by x
8x-8/2x^2
divide everything by 2
4x-4/x^2
