There are 36 different possibilities for his lunch.
We can use the fundamental counting principal to solve this problem. We simply need to find the number of options for each part of the meal and multiply them.
Sandwich = 3
Snack = 3
Dessert = 2
Drink = 2
3 x 3 x 2 x 2 = 36
The vertex is on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that have the equivalent distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.
Answer:
No
Step-by-step explanation:
90° counterclockwise rotation: (x,y) becomes (-y,x). so it would be on the upper left square. R would be the farthest to the left with S on top and T to the right. Also the triangle isn't even the same size in the picture. T should be a unit up.
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
2x + 3y = 13
–6x + 4y = 0
multiply the first equation by 3
6x +9y = 39
then add the 2nd equation to the first
6x +9y = 39
–6x + 4y = 0
-------------------
13y = 39
divide by 13
y =3
now take an equation and solve for x by substituting in y
2x +3y =13
2x +3(3) =13
2x+9 =13
subtract 9 from each side
2x =4
divide by 2
x=2
Answer (2,3)
Choice A
