Answer:
p = 0 , p = ±
Step-by-step explanation:
4 - 25p² = - 16p² ( add 16p² to both sides )
4 - 9p² = 0 ← factor out p² from both sides
p²(4p² - 9) = 0 ← factor is a difference of squares
p²(2p - 3)(2p + 3) = 0
Equate each factor to zero and solve for p
p² = 0
p = 0 ( multiplicity of 2 )
2p - 3 = 0 ⇒ 2p = 3 ⇒ p =
2p + 3 = 0 ⇒ 2p⇒ = - 3 ⇒ p = -
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
Given:
There are three points on the graph.
Locate the and
values of the points on the graph.
The points are
Domain is the set of all possible values. Here, the
values are -2, 0 and 2.
So, domain is: {-2, 0, 2}.
Range is set of all possible values. Here, the
values are -1, 1 and 3.
So, range is: {-1, 1, 3}
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
Step-by-step explanation:
To find the population in a future year, use the formula:
Substitute the value t=5 to find the population in 5 years.
Or if the equation is supposed to have t as an exponent then look below:
Substitute the value t=5 to find the population in 5 years.
This formula is based off the standard formula so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.
Answer:
- 4, 7
Step-by-step explanation:
Let the required number be x.
Therefore, according to the given condition: