Answer:
D) p³ + 2; when p = 3 the number of plants is 29.
Step-by-step explanation:
Illiana cubed (³) the number of original plants, p, in the garden. Then, she added 2 more plants. We will use n for the number of total plants.
So, the equation should be p³ + 2. Substitute our value for p into the equation and solve.
p³ + 2 = n
3³ + 2 = n
27 + 2 = n
29 = n
There are 29 total plants.
The answer, then, is the last option, p³ + 2; when p = 3 the number of plants is 29.
Good luck ^^
Answer:
1/8 of the budget was left for other expenses.
Step-by-step explanation:
1/4 of the budget - buildings and maintenance.
Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.
Therefore:
3/8 of the budget - administrative personnel.
Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.
For other expenses :
1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8
Finally, 1/8 of the total budget was for the other expenses.
Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Answer: Option C
Step-by-step explanation:
Given the quadratic equation 
, substitute 
:
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
Therefore, you get that the solutions of this equation are the following:
Then, the answer is:
This matches with the option C.
