Answer:
x = -2
y=-3
(-2,-3)
Step-by-step explanation:
Both equations are equal to y
We can set them equal to each other
y = 3x + 3
y = x − 1
3x+3 = x-1
Subtract x from each side
3x+3 -x = x-1-x
2x+3 = -1
Subtract 3 from each side
2x+3-3 = -1-3
2x = -4
Divide each side by 2
2x/2 = -4/2
x = -2
Now we need to find y
y = x-1
y = -2-1
y = -3
y = x-1
8x+6=62
8x=62-6
8x=56
X=56/8
X=7
The answer is 7. Hope this helps!
Answer:
The solutions to the quadratic equations will be:
Step-by-step explanation:
Given the expression
Let us solve the equation by completing the square
Add (-6)² to both sides
simplify
Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.
so the expression becomes
solve
add 6 to both sides
Simplify
also solving
add 6 to both sides
Simplify
Therefore, the solutions to the quadratic equation will be:
Answer:
You need to add more context to the question. I cannot answer it without knowing what "These scales" are.
Answer:
Step-by-step explanation:
The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.
The inequality can be used to determine the number of nights the Jones family could spend at the hotel is
750 ≥ 75 + 125h
This can also be written as
75 + 125h ≤ 750
We would solve the inequality for the value of h.
125h ≤ 750 - 75
125h ≤ 675
h ≤ 675/125
h ≤ 5.4
For any value of h greater than 5.4 hours, the inequality will not be true.
