Answer:
A and D
Step-by-step explanation:
3x + 2 = x + x + x + 2
2(x+1)+x = 2x + 2 + x = 3x+2
Answer: 22) A
<u>Step-by-step explanation:</u>
First, order doesn't matter so it is a Combination.
<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>
Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄
And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃
And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁
"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁
x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
Answer: 3026
30
Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:
Assuming x represents the random male selected and y represents the random female selected:
3026
The average sum of their scores is 3026.
Average difference is the difference between the expected value (mean) of each gender:
1528 - 1498
30
The average difference of their scores is 30.
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.