Answer:
- 4
Step-by-step explanation:
Step 1:
g ( x ) = 3x + 8 Function
Step 2:
g ( x ) = 3 ( - 4 ) + 8 Input x
Step 3:
g ( x ) = - 12 + 8 Multiply
Answer:
g ( x ) = - 4 Add
Hope This Helps :)
Answer:
(-5, 3)
(-2, 6)
(-4, -2)
Explanation:
To translate 5 units up means to add 5 to the y value since the y-axis dictates the vertical positioning of a coordinate. However, the x-values remain unchanged.
So all the y values are -2, 1, and -7. Add 5 to all of these.
-2 + 5 = 3
1 + 5 = 6
-7 + 5 = -2
Then re-pair them with their x-values like so:
(-5, 3)
(-2, 1)
(-4, -2)
Víola.
Let V = the launch velocity
Let θ = the launch angle
Let d = the horizontal distance traveled
Ignore air resistance.
The horizontal component of velocity is
u = V cos θ
The time of flight is
t = d/(V cosθ) = (d/V) secθ
Create a table of θ versus t as shown below.
θ t/(d/V)
---- ----------
45 1.4142
40 1.3054
35 1.2208
30 1.1547
The graph shows that as the launch angle decreases below 45°, the time of flight decreases.
Therefore arrow b (θ < 45°) arrives first.
Answer: Arrow b arrives first.
Fraction on a number line is a visual mathematical representation of fractions. It is done by plotting the given fraction(s) on the number line where the section or the distance between two integers is divided into equal parts which are equal to the denominator of the given fraction.
No because ab can be divided by a and b.