Read some notes on reflection. If it asks to reflect it on the x-axis youre going to reflect it either on the bottom or top plane. If it asks to reflect on y-axis youre going to reflect it on either the left or right plane.
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:
y - 8 = 3(x - 2)
Step-by-step explanation:
Start with the basic point-slope form of the equation of a straight line:
y - k = m(x - h). Here the given point is (2, 8), so assign the value 2 to h and the value 8 to k, also the value 3 to m. Then:
y - 8 = 3(x - 2)
So the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.
<u>Check: </u> <u>IT SAYS THAT N IS GREATER THAN 8 SO CHOOSE A NUMBER GREATER THAN 8 WHICH CAN BE 9.</u><u>
</u>
8+9n≥80
8+9*9≥80
8+81≥80
90≥80, so this makes sense.