Since they are starting with 270, the y intercept is going to be 270, now since they are losing 15 food everyday, the slope is going to be -15 so the final equation is y=-15x+270
49a. r=9 & r=3
49b. r=59048 & r=19683
49c. The first equation subtracts 1 from 3^n while the second equation subtracts 1 from the value of n.
49d. ***I forgot what an exponential function is, sorry...***
CANT FIGURE OUT 50. Hope I helped...
You can find the rate of change by taking it's derivative.
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer: The boundary lien should be solid because the inequality indicates that the value “5” is included. Remember: “greater than or equal to; less than or equal to,” as solid lines. While “<;>” are dashed lines.
