We know that:
limx→0
sin(x)/x
= 1.
and
cscx = 1/sinx
so,
<span>limx→0 x/sinx = 1</span>
Answer:
D, -79, plz brainliestt
Step-by-step explanation:
-8(2) -3 = -16-3= -19
-19(4) -3 = -76-3 = -79
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:
y = -2x + 5
Step-by-step explanation:
Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.
y = -2x + b
Now all we need is the y-intercept.
If we plug in the first point (1,3), we get:
3 = -2*1+b
3 = -2+b
b = 5
This is the y-intercept.
y = -2x + 5
