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)
So what I think you do is that yu have to simplify or divide. Good luck! - from: a 7th grader
Answer:
146⅔ units
Step-by-step explanation:
27° : 11
360° : X
X = (11/27) × 360
X = 146 ⅔
Answer:
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Step-by-step explanation:
From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 571
Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 571 - 361
y ≥ 210
Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 210/10
s ≥ 21
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
LHS: =
(using
)
We know
so we can replace the sin²x in the LHS expression as follows
which is the RHS.
