To figure out the answer here, all you have to do is plug the given point into your equations and see if the result is true:
(4, 2) .... aka (x, y)
2 - 4 = 2
-2 = 2 ... this one is FALSE, as -2 doesn't equal 2, so already you can tell that the point won't be a solution, but still, check the second equation.
-3(4) - 2(2) = -8
-12 - 4 = -8
-16 = -8 .... this one is also false. (4, 2) is not a solution for this system of equations.
Answer:
1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.
2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.
4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.
Step-by-step explanation:
A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;
1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.
2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.
3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.
Answer:
2/6 or 1/3
Each number has 1 /6 probability. But since you can accept either 3 or 4, the probability is better and is 2/6 or simplified to 1/3.
Answer:
23. 16x² + 4x + 0.25
24. 16x² - 4x + 0.25
Step-by-step explanation:
Given the functions f(x) = 4x + 0.5 and g(x) = 4x - 0.5, questions 23 and 24 are asking you to square the entire function. So, you will take the expression given in each function and square it:
(f(x))² = (4x + 0.5)(4x + 0.5) Using FOIL:
(4x*4x) + (4x*0.5) + (4x*0.5) + (0.5*0.5)
16x² + 2x + 2x + 0.25 = 16x² + 4x + 0.25
(g(x))² = (4x - 0.5)(4x - 0.5) Using FOIL:
(4x*4x) - (4x*0.5) - (4x*0.5) + (0.5*0.5)
16x² - 2x - 2x + 0.25 = 16x² - 4x + 0.25
Y-(-1)= -3(x-5)
y+1= -3x+15
y= -3x+14
