Answer
16.25
Step-by-step explanation: <em><u>To The Nearest Hundredth</u></em>
(-1, 2), (3, 1)
<u>√17</u>
(3, 1), (7, 2)
<u>√17</u>
(3, 1), (7, 2)
<u>√8</u>
So our answer is =
<u>8 + √17 + √17 = 16.25</u>
<u>hope it works for you!</u>
Answer:
A bottle holds 24 ounces of water. It has x ounces of water in it.
What does 24 - x represent in this situation?
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:
x ≥ 4
Step-by-step explanation:
Since there is a closed circle at x = 4, this indicates that x can be equal to 4
The line to the right is shaded indicating values of x greater than 4
Thus x ≥ 4 ← is the inequality represented in the number line
