Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:

All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
= 12y
Hence,
The correct answer is Option 3: 12y
Step-by-step explanation:
This is a word problem that we must translate to mathematical expression before we can solve.
let the individual saving be the first letters of the names
Jada= J
Lin= L
Elena= E
1. Jada saved $20 less than Lin
J=L-20
2. Lin saved 3 times as much money as Elena
L= 3E
3. Hence Elena saved
E
Together they saved $120.
hence
(L-20)+3E+E= 120
L-20+3E+E= 120
collecting like terms we hav
L+4E=120+20
L+4E= 140
but we know that L= 3E
3E+4E= 140
7E= 140
divide both sides by 7 we have
E= 140/7
E= $20
This means Elena saves $70
also L= 3E
L= 3*20
L= $60
this means that Lean saved $60
also J=L-20
J= 60-20
J= $40
This means that Jada saved $40
For this case, the first thing we must do is define variables.
We have then:
x: number of checks.
y: total cost.
We now write the linear function that represents the problem.
We have then:

Then, Jerome issues 10 checks in a month.
Therefore, we evaluate the function for x = 10.
We have then:
Answer:
a monthly checking account will cost him about:
y = 12.5 $
The correct answer is C)

.
Since it is a geometric sequence, we multiply by a constant, r, each time to find the next term.
g₂ = -8
g₅ = 512
g₂ * r * r * r = g₅
-8(r)(r)(r) = 512
-8r³ = 512
Divide both sides by -8:
-8r³/-8 = 512/-8
r³ = -64
Take the cubed root of both sides:
∛r³ = ∛-64
r = -4
Now we work backward from g₂ to find g₁:
-8/-4 = 2
We have that g₁ = 2 and r = -4. This gives us