Answer:
x+2y=6
Subtract 2y from both sides.
x=6−2y
Step-by-step explanation:
x=6-2y
Answer:
C. Kalena made a mistake in Step 3. The justification should state: -x²
+ x²
Step-by-step explanation:
Given the function x(x - 1)(x + 1) = x3 - X
To justify kelena proof
We will need to show if the two equations are equal.
Starting from the RHS with function x³-x
First we will factor out the common factor which is 'x' to have;
x(x²-1)
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;
a²-b² = (a+b)(a-b) hence;
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Factorising x(x+1) gives x²+x, therefore
x(x+1)(x-1) = (x²+x)(x-1)
(x²+x)(x-1) = x³-x²+x²-x
The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²
Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;
Subtract 2x from both sides we get;
Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.
