Answer:
1/4
Step-by-step explanation:
First, you have to divide 270 by 3, so you get 25%. This comes out to be 90. So, 90 is 25%. Now, multiply this by four to get 100%. This comes out to be 360. So, 270 is 75% of 360, which answers the question '270 is 75% of what number?'
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:

Step-by-step explanation:
To complete the square, we first have to get our equation into
form.
First we add 16x to both sides:

And now we subtract 62 from both sides.

We now have to add
to both sides of the equation. b is 16, so this value becomes
.

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because
and
.

We can now take the square root of both sides.

We can now isolate x on one side by subtracting 8 from both sides.

So our solutions are
Hope this helped!
Answer:
4
Step-by-step explanation:
30-22=2x
8=2x
8/2=x