What makes values of a and b make each inequality true? -ab>0, ab<0, a^2b>0, a/b>0
1 answer:
You might be interested in
Answer:
BADC
Step-by-step explanation:
-4x + 7 27 Subtract 7
-4x 20 Divide both sides by -4
x -5 B
3x - 10 < -25 Add 10
3x < -15 Divide by 3
x < -5 A
5(x - 2) > -15 Use distributive property
5x - 10 > -15 Add 10
5x > -5 Divide by 5
x > -1 D
x - 9 < -10 Add 9
x < -1 C
Answer:
The population density (people per square mile) for the country is 5 person per square mile.
Step-by-step explanation:
Given:
Population of the country = 34,782,000
Area of the country = 7,539,000
To Find:
The population density of the country = ?
Solution:
The population density is the number people per square mile.
The population density can be found by
On Substituting the values
population density =
Population density = 4.61
Population density = 5
Answer:
see explanation
Step-by-step explanation:
To solve these equations equate them to zero, that is
x² - x - 42 = 0
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6, since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
(x - 7)(x + 6) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 6 = 0 ⇒ x = - 6
Solutions are x = - 6, x = 7
---------------------------------------------------------
x² + x - 6 = 0 ← in standard form
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Solutions are x = - 3, x = 2
------------------------------------------------------------
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take the square root of both sides )
x = ± = ± 5
Solutions are x = - 5, x = 5