Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
The answer is A. FDR is referring to the Axis powers, which were located in Europe.
Answer:
4 would be rolled 60 times when the dice was thrown 3000 times.
Step-by-step explanation:
3000/50 is how many times 4 would be rolled
Answer:
(x, y ) → (x + 2, y - 4 )
Step-by-step explanation:
Compare the coordinates of 2 corresponding points in the original and the image, that is
B(- 5, 4 ) → B'(- 3, 0 )
To translate from B → B'
We require a shift of 2 units right in the x direction and 4 units down in the y direction, that is
(x, y ) → (x + 2, y - 4 ) ← translation rule
Answer:
D - The elevator traveled upward at a rate of 2(2/5) feet per second.
Step-by-step explanation:
Okay, this is almost like kinematics, which deals with physics.
Here are your given values:
Position 1 = 70ft [down]
Position 2 = 10ft [down]
Change in time (Δt - time - scalar) = 25 seconds
The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.
So, we can use this equation to figure out the change in position.
Δd = d₂-d₁ = 10ft [down] - 70 ft [down] = 60ft [up]
The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.
So, we can use this equation to solve.
v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].
Now, we need to change 2.4 ft / second [up] into a fraction.
2.4 -> 2 (4/10) -> 2 (2/5)
All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.
