.25 for each egg because $1:12 eggs means 1/12 = .25/3
Answer:
x = -1/3 and x = 3
Step-by-step explanation:
I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0
In that case:
1. Add 3 on both sides
3x^2 - 8x -3 + 3 = 3 -> 3x^2 - 8x = 3
2. Divide both sides by 3
x^2 - 8/3x = 1
3. Add ((8/3)/2)^2 to both sides
x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2
4. Simplify
x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2
x^2 - 8/3x + 16/9 = 1 + 16/9
5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9 as a perfect square
and simplify 1 + 16/9
(x - 4/3)^2 = 25/9
6. Find the square root of both sides

7. Simplify
(x - 4/3) = ±5/3
8. Rewrite the equation as two seperate equations
(x - 4/3) = ±5/3 ->
a. (x - 4/3) = 5/3
b. (x - 4/3) = -5/3
9. Solve for x by isolating the variable (add 4/3 to both sides)
a. x = 5/3 + 4/3
b. x = - 5/3 + 4/3
10. Simplify
a. x = 9/3 -> x = 3
b. x = -1/3
Answer:
Option (c) 7.3
Step-by-step explanation:
Since is forms a right angled traingle,
a= 3+4= 7
b = 4-2= 2
c = AB
Pythagorean theorem:
a^2+b^2 = c^2
So since we know a and B but the hypotenuse (c) is missing
7^2 + 2^2 = c^2
c^2 = 49+4
= 53
c = √53
= 7.28 rounded off to 7.3
So the length of hypotenuse or c is 7.3 units
Therefore, the length is 7.3
Answer:
D
Step-by-step explanation:
To find this, we need to find the points that are the steepest (or have larger slope). We have the points (2, 3), (4, 11), and (6, 23). The line that has (2, 3) and (4, 11) has a slope of 4, and the line with (4, 11) and (6, 23) has a slope of 6. Therefore the answer is D.
Note: Simple eyeballing will do the trick too!