Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer
Answer:
h=81
Step-by-step explanation:
Dont know how to explain but this is the answer
Answer:
Length = 27 metres
Width = 9 metres
Step-by-step explanation:
Consider the width to be x.
Then the length will be 3x.
The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.
So the dimensions will become:
Length=3x-4
Width=x+1
Now solve for the variable x using the formula for perimeter of a rectangle:
P = 2(l+b)
66 = 2(3x-4+x+1) (Divide both sides by 2 and simplify the parentheses)
33 = 4x-3 (Add 3 to both sides)
36 = 4x (Divide both sides by 4)
x = 9
Now plug-in the value of x into the original dimensions which were:
Length=3x
Width=x
So the dimensions are:
Length = 27 metres
Width = 9 metres
Step-by-step explanation:
Nicole starts with the budget:
$395
Now, she only expects to pay half the deposit;
$72 ÷ 2 = $36
Subtract this from the budget:
$395 - $36 = $359
Divide by cost per hour:
$359 ÷ $60 = 5.983333... (3 repeating)
This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be
Answer:
18
Step-by-step explanation:
I hope this helps
