Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Answer:


Step-by-step explanation:
we have a square and a triangle
we want to figure out the area and the perimeter of the pentagon
to figure out the area of the pentagon we can use the given formula:

let's figure out
:
since the given shape is a square Every angle of its 90° Thus the triangle is a right angle triangle
therefore the height is 4

substitute h and b

reduce fraction:

simplify multiplication:

likewise square

substitute s:

simplify square

hence,


to figure out perimeter
let's figure out hypotenuse first



therefore,



Ummmm anytime you gotta use a fraction. that's the only difference between rationals and integers
You can write it as a fraction . . . . . 5/4
You can write it as a decimal . . . . . 1.25
Or you can write it as a ratio . . . . . 5 : 4
The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
Here we have two pieces of information
Gas station A:-
3 gallons for $9.15
1 gallons for $9.15 / 3 = $ 3.05
Gas station B:-
P = 3.08g
It means that station B is selling the gasoline at a higher price.
Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
To know more about Expression follow
brainly.com/question/723406
#SPJ1