Answer:
Step-by-step explanation:
1.
-4, -2, 0, 4, 10
2.
-2.9, -2.83, -2.09, 2.07, 2.56
3.
-3, -1/10, 1/10, 1/2, 7/8
4.
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
this image might help :))
3/10 you go by how many decimal points to move over... 0.1 one tenth.. 0.01 one hundeth an soo on.
Answer:
- 168.25 ft
- 3.125 s
Step-by-step explanation:
It is almost too easy to let a graphing calculator show you the solution. (See attached)
_____
You may be expected to use some actual algebra (or even calculus) to find the solution.
If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...
... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds
Then the highest point is ...
... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet
_____
Or, you can put the equation into vertex form.
... h(t) = -16t² +100t +12
... = -16(t² +6.25t) +12
... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses
... = -16(t +3.125)² +168.25 . . . . . simplify
This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.
1) expand the brackets
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
Answer:
passed: 164
failed: 41
Step-by-step explanation:
Let the failed students be x, then the passed students will be 4x.
x + 4x = 205
x = 205/5 = 41
4x = 4*41 = 164