Answer:
1.) 10000, -3, 1000 ; doesn't make sense
2.) 40000, 3, 40000 makes sense
3.) 32500, 1.5, 32500 makes sense
4.) [0,+ ∞ ]
Step-by-step explanation:
1.) r(-3) = 2500 - 3*5000=10000
2.) f(3) = 25000 + 3*5000 = 40000
3.) f(1.5) = 25000 +1.5*5000= 325000
4.) # of siblings must >= 0
1.) x = -4, and y = 1/3
2.) x = 3, and y = -1
3.) x = 3, and y = 2
4.) x = 4, and y = 0
Hope this helps! - Alyssa
Answer:
min at (3, 0 )
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= - 
y = (x - 3)² = x² - 6x + 9 ← in standard form
with a = 1 and b = - 6 , then
= - 
= 3
substitute x = 3 into the equation for corresponding value of y
y = (3 - 3)² = 0² = 0
vertex = (3, 0 )
• if a > 0 then vertex is minimum
• if a < 0 then vertex is maximum
here a = 1 > 0 then (3, 0 ) is a minimum
Recall the formula for finding the area of a rectangle:
Area = Length × Width
Recall the formula for finding the perimeter of a rectangle:
Perimeter = 2 ( Length + Width )
Given in your problem:
Area = 40 sq. units
Perimeter = 26 units
Required to solve for:
Length (L) and width (W)
• First, substitute the given to the formula:
Area = Length x Width
40 = L × W ⇒ equation number 1
Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2
• Simplifying equation number 2,
13 = L + W
• Rearranging the equation,
L = 13 - W ⇒ equation 3
Substituting equation 3 from equation 1:
( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
W = 8 ; W = 5
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.
• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.
(equation 3) L = 13 - W
for W = 8 ⇒ L = 13 - 8
L = 5 units
for W = 5 ⇒ L = 13 - 5
L = 8 units
Answer:
5 miles a day.
Step-by-step explanation:
if there's 35 and he has done 15 he will have to do 5 miles each day (4 days) which will be 20, when added equivalent to 35.
