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Answer:
95/4
Step-by-step explanation:
Given,
a/b =2/3
Therefore, 2a²+3b²/a²+b² = ?
We get,
a/b = 2/3
So, we can write
a = 2 and b = 3
Now,
2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]
= 2×4 + 3×9/4 + 9
= 8 +27/4 + 9
= (32+27+36)/4 [ Taking L.C.M, we get 4]
= 95/4
Given:
Price of tickets:
3 years ago - 8.75
now - 11
annual multiplier:
b³ = 11/8.75
b = ∛11/8.75
b = 1.079
The annual multiplier is 1.079.
1.079 * 100% = 107.9%
107.9% - 100% = 7.9%
The percentage increase is 7.9%
Step-by-step explanation:
To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).
After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.
y - y1 = m(x - x1)
After this, you can solve for y and that will be your slope intercept form.
Answer:
4-8 inches
Step-by-step explanation:
Using triangle inequality (let a, b, c be the side lengths of a triangle. a+b>c, and vice versa). The least length of the third side is 4 because 3+4>6. This is not possible for 3 because 3+3 is not greater than 6. The greatest is 8 because 3+6>8. It cannot be 9 because 3+6 is not greater than 9.