Explain whether the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the
Volgvan
Answer:
D
Step-by-step explanation:
We simply put each of the points to test
For a point to be correct, if we substitute the x-coordinate value, we should get the value of the y-coordinate
So let’s proceed
(-3,8)
8 = -5(-3) - 7
8 = 15 -7
8 = 8
(-2,3)
3 = -5(-2) - 7
3 = 10 -7
3 = 3
(-1,-2)
-2 = -5(-1) - 7
-2 = 5-7
-2 = -2
(0,-7)
y = -5x -7
y = -5(0) - 7
y = 0-7 = -7
(1,-12)
y = -5(1) -7
-12 = -5 -7
-12 = -12
(2,-17)
-17 = -5(2) -7
-17 = -10-7
-17 = -17
We can see that all the listed points are on the given line
Although all these points lie on the line, we cannot say they represent the set of all solutions
The set of all solutions can simply be represented by the line of the equation
Answer:
10/6 = 10/6
↓
1 4/6 = 10/6
Step-by-step explanation:
5/6 + 5/6 = 10/6
↓
1 4/6
10/6 ÷ 2 = 5/3
10/6 = 10/6
1 4/6 = 10/6
Step-by-step explanation:
make it braintliest please
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum