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.
Using this table as a reference, you can see the following: A kilogram is 1,000 times<span>larger than one gram (so 1 kilogram = 1,000 grams). A centimeter is </span>100 times<span>smaller than one meter (so 1 meter = 100 centimeters). A dekaliter is </span>10 times<span>larger than one liter (so 1 dekaliter = 10 liters).</span>
Answer:
Step-by-step explanation:
(2,-4)....x1= 2 and y1 = -4
(p,8).....x2 = p and y2 = 8
slope(m) = 1/2
now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...
slope(m) = (y2 - y1) / (x2- x1)
1 / 2 = (8 - (-4) / (p - 2)
1 / 2 = (8 + 4) / (p - 2)
1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)
1/2(p - 2) = 12
1/2p - 1 = 12
1/2p = 12 + 1
1/2p = 13
p = 13 / (1/2)
p = 13 * 2/1
p = 26
so the value of p is 26
Answer:where’s the number line?
Step-by-step explanation:
Answer:
Likely
First option is correct.
Step-by-step explanation:
The probability for occurring the event = 95% = 0.95
Let us understand different types of events:-
- Certain events: If the probability of occurring an even is 1, then it is a certain event.
- Impossible events: If the probability of occurring an even is 0, then it is a impossible event.
- Likely events: If the probability of occurring an even is close to 1, then it is a likely event.
- Unlikely events: If the probability of occurring an even is close to 0, then it is a unlikely event.
Now, the probability for occurring the event = 95% = 0.95, which is close to 1.
Hence, we can conclude that the event is likely.
First option is correct.
