Step-by-step explanation:
Let x = the number of years since the first year and let y = the total number of plants.
Roses: y = 5 + 2x
Tulips: y = 20 – 3x
You can use elimination to solve.
y = 5 + 2x
(-)y = 20 – 3x
0 = -15 + 5x
15 = 5x
3 = x
This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.
The graphs appear to
intersect at (3, 11) which verifies that x=3
Answer:
1?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
m(slope) = y2 - y1 / x2 - x1
-6 - - 6 / 7 - 3
= 0 / 4 = 0
If you follow the order of pemdas the answer would be (-24)
Answer:
Step-by-step explanation:
![\frac{sin~x}{sec~x+1} =\frac{sin~x}{\frac{1}{cos~x}+1 } =\frac{sin~x~cos~x}{1+cos~x} \\=\frac{sin~x~cos~x}{1+cos~x} \times \frac{1-cos~x}{1-cos~x} \\=\frac{sin~x~cos~x(1-cos~x)}{1-cos^2 x} \\=\frac{sin~x~cos~x(1-cos~x)}{sin^2x} \\=\frac{cos~x(1-cos~x)}{sin~x} \\=cos ~x(csc~x-cot~x)\\or\\=cot~x(1-cos~x)](https://tex.z-dn.net/?f=%5Cfrac%7Bsin~x%7D%7Bsec~x%2B1%7D%20%3D%5Cfrac%7Bsin~x%7D%7B%5Cfrac%7B1%7D%7Bcos~x%7D%2B1%20%20%7D%20%3D%5Cfrac%7Bsin~x~cos~x%7D%7B1%2Bcos~x%7D%20%5C%5C%3D%5Cfrac%7Bsin~x~cos~x%7D%7B1%2Bcos~x%7D%20%5Ctimes%20%5Cfrac%7B1-cos~x%7D%7B1-cos~x%7D%20%5C%5C%3D%5Cfrac%7Bsin~x~cos~x%281-cos~x%29%7D%7B1-cos%5E2%20x%7D%20%5C%5C%3D%5Cfrac%7Bsin~x~cos~x%281-cos~x%29%7D%7Bsin%5E2x%7D%20%5C%5C%3D%5Cfrac%7Bcos~x%281-cos~x%29%7D%7Bsin~x%7D%20%5C%5C%3Dcos%20~x%28csc~x-cot~x%29%5C%5Cor%5C%5C%3Dcot~x%281-cos~x%29)