Answer:
-4/9
Step-by-step explanation:
Answer:
- y = -3/5x - 6 or 3x + 5y = -30
Step-by-step explanation:
<u>Given line:</u>
<u>Converting into slope-intercept form:</u>
- 3x + 5y = 15
- 5y = - 3x + 15
- y = -3/5x + 3
<u>Parallel lines have the same slope, so the parallel line will be:</u>
<u>Using given point (-5, -3) finding the y-intercept:</u>
- -3 = -3/5(-5) + b
- -3 = 3 + b
- b = -3 - 3
- b = -6
<u>So the line is:</u>
<u>Or converted into standard form:</u>
- y = - 3/5x - 6
- 3/5x + y = -6
- 3x + 5y = -30
Answer:
36
Step-by-step explanation:
1 + 3 + 5 + 7 = 16
3 + 5 + 7 + 11= 26
These consecutive positive prime numbers above have sums that are not divisible by three.
5 + 7 + 11 + 13 = 36
This consecutive positive prime numbers above has a sum that is divisible by three: 36.
36 : 3 = 12
answer
is -7
explained
because f(x)=3x+1,for f (-2/3)= -7
Here the time function is h(t) = [6 + 96t - 16t^2] feet.
The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.
At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.
Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.
One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.