Answer:
b
Step-by-step explanation:
Answer:
The error made by the student was that they didn't distribute the 7 first, they just added -2 and 7. The correct way would be to distribute first:
-2+7(x+8)
-2+7x+56
54+7x
*Hey! Hope this helped : )*
Answer:
1
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
We will have 1 solution set when the lines cross once.
We will have no solutions when the lines are parallel.
We will have infinite solutions when the lines are the same.
According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.
Answer:
3.70
Step-by-step explanation:
Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i