Answer:
336 total slices
Step-by-step explanation:
60% of 30 = 18
18 * 12 = 216
40% of 30 = 12
12 * 10 = 120
216 + 120 = 336
"Completing the square" is the process used to derive the quadratic formula for the general quadratic ax^2+bx+c=0. Suppose you did not know the value of a,b, or c of the quadratic...
ax^2+bx+c=0 You need a leading coefficient of one for the process to work, so you divide the whole equation by a
x^2+bx/a+c/a=0 now you move the constant to the other side of the equation
x^2+bx/a=-c/a now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...
x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a now the left side is a perfect square...
(x+b/(2a))^2=(b^2-4ac)/(4a^2) now take the square root of both sides
x+b/(2a)=±√(b^2-4ac)/(2a) now subtract b/(2a) from both sides
x=(-b±√(b^2-4ac))/(2a)
It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
Answer:
3rd one y=2x
Step-by-step explanation:
because they are saying how many minutes can you read 2 pages so it would be 2 times x and x is the 4 minutes
Answer:
8.9 × 10^{4}
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Follow the steps below to see how 89,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 89,000
New Number: 8.9000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 8 . 9 0 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.9 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
8.9 x 10^{4}
Step 4
Check your work:
10^{4} = 10,000 x 8.9 = 89,000
