Answer:
B: {(3,1), (7,9)}
Step-by-step explanation:
For equation 2x-y=5, we can isolate y, so it's easier to solve later:
y = 2x - 5
y = (x - 4)^2
Now, notice that both equations are equal to y, so we can set them equal to each other:
(x-4)^2 = 2x-5
x^2-8x+16 = 2x - 5
x^2-10x+21=0
Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:
(x-3)(x-7)=0
x=3 or x=7
Since B is the only one with the x values of 3 and 7, the answer must be B.
But to further check our answer, we can plug x back to any of the equations above to check for y:
(3-4)^2 = 1
(7-4)^2 = 9
Therefore, we can confirm that the answer is B.
Answer: 12-n=25
-n=25-12
-n=13
Step-by-step explanation:
Answer:
The answer to your question is: 9.01 x 10⁸ ice cream cones
Step-by-step explanation:
Data
# of ice cream cones = 1700
5.3 x 10 ⁵ minutes ---------- 1 year
# of ice cream cones purchased in one year = ?
1700 cones --------------------- 1 min
x ---------------------- 5.3 x 10 ⁵ minutes
x = (5.3 x 10 ⁵)(1700)/1 = 901 000 000 ice cream cones
In scientific notation
9.01 x 10⁸ ice cream cones
Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.
The expected value of the game is the price paid/gained times the probability of loss/victory:
E = (1 / 4) · (-6) + (3 / 4) · (2)
= -3 / 2 + 3 / 2
= 0
Bob expects to tie with Will.
Answer:
4/3
Step-by-step explanation:
Substitute in 4.
(1/3)4
Multiply
4/3
I hope this helps!
