Answer:
-12r² + 10xr - 15x + 34r - 24
Step-by-step explanation:
1. Organize it, variables first - as well as adding constants such as 4 and -7
(5x - 6r + 8) (2r - 3)
2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8
(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)
3. Simplify
10xr - 15x - 12r² + 18r + 16r - 24
4. Order by greatest to smallest factorial
-12r² + 10xr - 15x + 18r + 16r - 24
5. Combine like variables
-12r² + 10xr - 15x + 34r - 24
Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
, with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
So B has two solutions of 5 and -1.5.
Now to C!
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)
Answer:
Step-by-step explanation:
If you want to factor
, you could throw that into the quadratic formula with a = 1, b = 11 and c = 0, but the easier thing to do is to factor out what's common in those 2 terms. m is common, so when we factor it out:
That's the factored form.
By the Zero Product Property, either
m = 0 or m + 11 = 0.
So the 2 solutions to this are
m = 0 or m = -11
Not sure how far you need to go with this.
1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality
2.) 8x=24 → Addition property of equality
3.) x=3 → Division property of equality
4.) 3(3)-4y=9 → Substitution property of equality
5.) 9-4y=9 → Simplify
6.) -4y=0 → Subtraction property of equality
7.) y=0 → Division property of equality
The average rate of change is the slope.
The slope is equal 
, if we were to do that for each set of points, we get the slope is always 8.
Thus the average rate of change is 8.
