Answer:
The algebraic method is a collection of several methods used to solve a pair of linear equations with two variables.
Step-by-step explanation:
Answer:
1) y=6
Step-by-step explanation:
The equation y=mx+b is called slope-intercept because it tells us the slope,m, and y-intercept ,b.
The equation y=a is a horizontal line and goes through a on the y-axis. Horizontal lines have a slope of zero.
The equation x=b is a vertical line and goes through b on the x-axis.
Vertical lines have an undefined slope.
1) y=6 is horizontal so it's slope is 0
2) x=6 is vertical so it's slope is undefined
3) y=2x has slope 2
4) x+y=1 can be put into the form y=mx+b to determine the slope.
Subtract x on both sides:
y=-x+1
The slope is -1.
Answer:
Max = 86; min = 36.54
Step-by-step explanation:
Step 1. Find the critical points.
(a) Take the derivative of the function.
Set it to zero and solve.
![\begin{array}{rcl}2x - \dfrac{85}{x^{2}} & = & 0\\\\2x^{3} - 85 & = & 0\\2x^{3} & = & 85\\\\x^{3} & = &\dfrac{85}{2}\\\\x & = & \sqrt [3]{\dfrac{85}{2}}\\\\& \approx & 3.490\\\end{array}\](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D2x%20-%20%5Cdfrac%7B85%7D%7Bx%5E%7B2%7D%7D%20%26%20%3D%20%26%200%5C%5C%5C%5C2x%5E%7B3%7D%20-%2085%20%26%20%3D%20%26%200%5C%5C2x%5E%7B3%7D%20%26%20%3D%20%26%2085%5C%5C%5C%5Cx%5E%7B3%7D%20%26%20%3D%20%26%5Cdfrac%7B85%7D%7B2%7D%5C%5C%5C%5Cx%20%26%20%3D%20%26%20%5Csqrt%20%5B3%5D%7B%5Cdfrac%7B85%7D%7B2%7D%7D%5C%5C%5C%5C%26%20%5Capprox%20%26%203.490%5C%5C%5Cend%7Barray%7D%5C)
(b) Calculate ƒ(x) at the critical point.
Step 2. Calculate ƒ(x) at the endpoints of the interval
Step 3.Identify the maxima and minima.
ƒ(x) achieves its absolute maximum of 86 at x = 1 and its absolute minimum of 36.54 at x = 3.490
The figure below shows the graph of ƒ(x) from x = 1 to x = 5.
Answer:
4x^2 + 3x +10
Step-by-step explanation:
This is a simple equation, all you need to do is subtract the 2x from both sides.
M = 52-24 would represent her age
