Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
1.67
Step-by-step explanation:
after the decimal we have the
tens
hundreths
thousanths
(usually math doesn't ask you to go farther than the thousanths place)
because 15/9 is 1.66666, you will go to the hundreths place and round that six. Six is one more than five so it gets rounded up. That changes the decimal to 1.67. You do not change it to 1.7, because it asked you to round to the nearest hundred not the nearest tens
Answer:
y = 24
Step-by-step explanation:
Step 1:
y = - 6x Equation
Step 2:
x = - 4 Given
Step 3:
y = - 6 ( - 4 ) Input x value
Answer:
y = 24
Hope This Helps :)
Answer:
(2x+1)(2x−1)
Step-by-step explanation:
Answer: 65%
Step-by-step explanation:
To get the percentage of the seats in the theatre were filled by the 6th graders on the trip,
it will be
