6x - 3 > 4x + 5 |add 3 to both sides
6x > 4x + 8 |subtract 4x from both sides
2x > 8 |divide both sides by 2
x > 4 ⇒ x ∈ (4; ∞)
Answer:
See below.
Step-by-step explanation:
Find two points on the graph that are easy to read.
Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)
Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.
Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.
slope = rise/run
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 )
= lim ( h to 0 )
= lim ( h to 0 )
= lim( h to 0 )
= lim( h to 0 )
= lim ( h to 0 ) ← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x
Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
!!