Answer:
6x² + x - 12 = (2x + 3) (3x - 4)
Step-by-step explanation:
Factor 6x² + x - 12 by grouping
we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1
The middle term = x = 9x - 8x
6x² + x - 12
= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms
= (6x² + 9x) + ( - 8x - 12)
From the first two terms take 3x as a common and from the two terms take (-4) as a common
= 3x ( 2x + 3) -4 (2x + 3)
Take (2x + 3) as a common
= <u> (2x + 3) (3x - 4)</u>
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = 
t = 
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = 
t = 
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = 
t = 
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
Answer:
52
Step-by-step explanation:
just finished taking it
D I’m pretty sure. i counted all boxes and it equaled to 26