To write an equation in point-slope form, we need the slope and a point.
The points given to us by the explanation are (3, 63) and (5, 57) where the x value represents the number of days without rain and the y value represents the depth of the water in inches.
To find the slope, we use the expression:
Change in y/change in x = 63-57/3-5
When simplified, we get: 6/-2 = -3
Therefore, the slope is -3
Note that we can use either of the points in our equation and we will still get the same equation.
Now we just need to substitute in our values:
y = -3(x-3) + 63 which is sometimes written as y - 63 = -3(x-3)
Hope this helps!
Answer:
6/7
Step-by-step explanation:
Hope this helps!!
The answer you are looking for is 4x-5
I would say 16 that’s what it is most likely
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
