Answer:
1.08 seconds
Step-by-step explanation:
given data
<u>first equation:</u>
According to the data, sharon position will be
h(t)= -16 
+ 4t +18---->eq(1)
<u>Second equation;</u>
When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground to the nearest hundredth of a second
therefore, ball position would be
h(t)= -16 +16t +5 --->eq(2)
In order to find how long after she jumps does the ball reach Sharon i.e time, we will equate eq(1) and eq(2)
Therefore,
eq(1)= eq(2)
-16 +4t +18 = -16 + 16t +5 --->(further simplifying it)
-16 + 16 + 18 -5 = 16t - 4t
13 = 12t
t= 13/12
t= 1.08 s
Thus it took 1.08 seconds.
Answer:
The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)
Answer:
(2a - 5) • (3a - 2)
step by step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4
6a2 - 15a - 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a-2) • (2a-5)
Which is the desired factorization
Final result :
(2a - 5) • (3a - 2)
Answer:
Second and last
Step-by-step explanation:
The vertex form of a quadratic function is written as: a(x-h)^2+k where (h,k) are the coordinates of the vertex
The equation y =-(x-0.5)^2+9
Then the vertex of this graph is (0.5,9)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
The equation -(x-0.5)+9 has a negative leading factor so the parabola will open down then it will have a maximum
