Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
Step-by-step explanation:
We need to compare √8 and 4
<em>To compare the numbers they should both be in the same format</em>
<u>√8 is not a perfect square so we'll put number 4 under root</u>
<u>Now we compare</u>
So √8 is less than 4
74 units would be your answer for the length segment
<h2>
Hello!</h2>
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:
<h2>
Why?</h2>
To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets
Then, Sara gives Tim x Sweets
Then. Sara eats 7 of her Sweets
Then, Tim eats half of his sweets
So, the expression for the number of sweets that Sara and Tim have now, are:
Have a nice day!
Answer:
61
Step-by-step explanation:
add the number of minutes for each day and then divide that number by the number of days
