Answer:
1. -19x
3. 23 - 8x
5. -18x + 2y
Step-by-step explanation:
first: 3x - x = 2x
2x - 22x = -20x
-20x + x = -19x
second one:
8 - (-15) = 23
12x - 20x = -8 x
23 - 8x
third:
-10x - 8x = -18x
3y - y = 2y
-18x + 2y
Answer:
the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!
Answer:
12m
Step-by-step explanation
If the height of the ball after x seconds be modelled by the equation
h(x)=−(x−2)² +16
The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0
To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;
h(0) = -(-0-2)²+16.
h(0) = -(-2)²+16
h(0) = -4+16
h(0) = 12
The height of the ball at the time the ball is thrown is 12m
Answer:
69 feet
Step-by-step explanation:
we have

where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to

where
(h,k) is the vertex of the parabola







the vertex is the point (2,69)
therefore
The maximum height is 69 ft
Answer:
6.2+8.7+8.9x
Step-by-step explanation:
For expressions to be equivalent, they must simplify to the same lowest form. 8.9x+6.2+8.7 simplifies to 8.9x +14.9.
Each of the expressions below must simplify to 8.9x + 14.9 to be equivalent.
9x+6+9 = 9x + 15 NO
3.9+6.2+8.7x = 8.7x + 10.1 NO
3.7+8.9+6.2 = 18.8 NO
6.2+8.7+8.9 = 23.8 NO
6.2+8.7+8.9x = 8.9x + 14.9 YES
3.9+6.2x+8.7 = 6.2x + 12.6 NO
3.9x+8.7+6.2 = 3.9x + 14.9 NO