What is the easiest best way to write math formulas on word? I’ve been citing and pasting form other documents, which as you can imagine is tedious. For some reason the “equation” icon seems to b turned off on my screen but the “symbol” icon is on.
1. For the graph of the function f (x) = x2 – 5x + 6, find the vertex and the axis of symmetry.
Solution:
x-coordinate of vertex will be at x = -b/2a,
Here a = 1, b = -5
x-coordinate of vertex will be at x = -(-5)/2*1 = 5/2
y-coordinate of vertex will be =
vertex = (
Axis of symmetry will be x = -b/2a
=>x = -(-5)/2*1 = 5/2
Axis of symmetry: x = 5/2
2. Solve:
Solution:
Cross multiply, we will get
2x(x + 1) = 5(x + 7)
Factorize it now
ð x = -7/2, 5
Answer: x = -7/2, 5
3. Solve:
Square each side, we will get
2 – 7x = 4
-7x = 4 – 2
-7x = 2
=> x = -2/7
Answer: x = -2/7
4. Solve, and express the answer in interval notation:
|5 – 2x | > 10.
Solution:
We can write it as
5 – 2x > 10 or 5 – 2x < -10
Now from 5 – 2x > 10
Add -5 to each
-2x > 5
Divide by -2
Now from 5 – 2x < -10
Add -5
-2x < - 15
Divide by -2
The solution in interval notation will be.
5. The Addison Bank offers two checking-account plans. The Smart Checking-account plans. The Smart Checking plan charges $.20 per check whereas the Consumer Checking plan costs $6 per month plus $.05 per check. For what number of checks per month will the Smart Checking plan cost less?
Solution:
Let x be the number of checks when Smart Checking plan will cost less
Cost of Smart Checking plan = 0.2x
Cost of Consumer Checking plan = 6 + 0.05x
Now,
0.2x < 6 + 0.05x
0.2x – 0.05x < 6
0.15x < 6
x < 6/0.15
=> x < 40
Smart Checking plan will cost less when numbers of checks are less than 40.
6. Using synthetic division, determine whether the numbers are zeros of the polynomial function.
1/3 , 2; h (x) = x3 -x2 - 1/9x + 1/9
Solution:
Let us check for 1/3 first
Since we got the remainder 0 so 1/3 is a zero of the given polynomial function.
Now check for 2.
Since we have the remainder 35/9 so 2 is not a zero of the given polynomial.