Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
Cost per gallon is found by dividing the cost by the number of gallons.
$43.95/16.1 ≈ $2.7298137
Rounded to hundredths, this is $2.73.
see attached picture for #6
10 the inequality would be :
12 inch box is x
15 inch box is y
12x+15y≤84
If Samantha's backyard has an area of 100 square feet, and you need to know how much fencing to enclose the garden, you know you are looking for the parameter of the garden. To fine the parameter you have to know the length of the sides. Area of a square is length times width and length and width are the same value. So what you know the square-root of 100 is the value of each side. So each side of the garden is 10 feet long. To find parameter all you do is add up all four sides. 10+10+10+10 = 40 feet need to enclose the flower garden.<span />
To find the area multiply the length by the width.
The length and width of a square are the same.
Area = 15 x 15 = 225 square feet.
