Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
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The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
It’s E because if your multiply 5 x 2x u get 10x and 10 x5 = 50 so our answer is E 10x +50
So first you have to understand what consecutive numbers are.
Consecutive numbers are numbers like 4, 6, 8, 10, or 16, 18, 20.
So let's set up an equation, using x as the first consecutive number.
x + x + 2 + x + 4 = 102
Then simplify:
3x + 6 = 102
Subtract 6 from both sides.
3x = 96
Divide 3 on both sides:
x = 32
So the first number is 32, which means the other 2 numbers are 34, and 36.
To check our answer, let's put the numbers in the equation.
32 + 32 + 2 + 32 + 4 = 102
Yep! That's correct.
The answer is 32, 34, and 36.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
Answer: m∠HIJ = m∠IHK because they are alternate interior angles
Step-by-step explanation:
