9514 1404 393
Answer:
A. -1 ≤ x ≤ 3
Step-by-step explanation:
The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...
-1 ≤ x ≤ 3
Answer:
x= 27
Step-by-step explanation:
a triangle always has 180 degrees, therefore:
(3x-17)+(x+40)+(2x-5)= 180
6x+18=180
6x=162
x=162/6
x=27
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
Let the number be x.
Dividing both sides by 4,
Subtracting 8 from both sides,
The number is -7.
Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
If the value in the parentheses is > 1 then its exponential growth otherwise its exponential delay.
for example the first one is growth ( because of the 1.25)
second one is decay ( because of the 1/2)
