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>
The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
Since we know y=mx+c, ∴y=-2/5x+c. Sub in the x and y values of the given point and we get that c=26/5.
The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
Answer:
D
Step-by-step explanation:
I tried the last one and it did not work so maybe D
Answer:
6
Step-by-step explanation:
6/1=48/8
48/8÷3/8=6
Hello! So, 25% of the 60 tables seat two people. To find this number, multiply 60 by 25%. 60 * 25% (0.25) is 15. 15 of them seat 2 people and 15 * 2 is 30.The other 45 tables seat 4 people. When you multiply both number, you get 180. Now, let's add the numbers together. 180 + 30 is 210. There are 210 seats in the restaurant. The answer is C: 210.
