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: 23, 25, 27
Step-by-step explanation:
Let the 3 consecutive odd numbers be x, x+2 and x+4.
So
2x+(x+2)+3(x+4)=152
2x + x + 2 + 3x + 12 = 152
6x+14=152
6x = 152 - 14
x=138/6
x=23
So, the numbers are 23, 25 and 27.
Answer:
419
Step-by-step explanation:
the answer is 419 because 38+39=77+40=117+41=158+130=288+131=419
hope my math is correct =)
Answer:
89.132 inch
Step-by-step explanation:
“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”
so, the square has a perimeter of 16 inch, four sides that will be 64 inch
then the half circle rule of perimeter of half circle: πr + 2r
=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch
<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>
<em />
So total 25.133 + 64 =89.132 inch
have a great day and nc question
I think it’s D.y2 +xy+x+3y+2
(Sorry if I’m wrong)
