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.
Answer:
S' (-6, 6)
T' (2, 6)
U' (2, 0)
V' (-6, 0)
Step-by-step explanation:
To reflect the rectangle over the x-axis, think of it as flipping it over the x-axis. On the graph, count the units from V to S, it's 6 units. So, from the x-axis, count 6 units up from V. S would lie on -6, 6. Do the same for W to T. T would lie on (2, 6). The remaining coordinates U and V don't change because it is <em>already </em>on the x-axis. <em> </em>
What exactly was the purpose of posting this?
Answer:
x³ - 3x² - 9x + 27
= x²(x - 3) - 9(x - 3)
= (x² - 9)(x - 3)
= (x -3)(x + 3)(x - 3)
= (x + 3)(x - 3)²
Step-by-step explanation:
Answer:
3 11/16 pounds
Step-by-step explanation:
Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'
The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas
Let the weight of the grape fruit = x
7 1/2 = x + 1 5/8 + 2 3/16
x = 7 1/2 - (1 5/8 + 2 3/16)
Lowest Common Denominator = 16
x= 7 1/2 - 3 + ( 10+ 3/16)
x = 7 1/2 - 3 + (13/16)
x = 7 1/2 - 3 13/16
Lowest Common Denominator = 16
x= 4 (8 - 13/16)
x = 4 (-5/16)
x = 3 11/16 pounds
Therefore, the bag of grapefruits weighed 3 11/16 pounds
