Answer: x=50/3
Step-by-step explanation:
26 this person other person is correct
Answer:
<h2>y = 4x + 5 and y = 4x - 5</h2>
Step-by-step explanation:
(1) y = 4x + 5 and (2) y = 4x - 5
substitute (1) to (2):
4x + 5 = 4x - 5 <em>subtract 4x from both sides</em>
5 = -5 FALSE (no solution)
(1) y = 4x + 5 and (2) 2y = 8x + 10
substitute (1) to (2):
2(4x + 5) = 8x + 10 <em>divide both sides by 2</em>
4x + 5 = 4x + 5 <em>subtract 4x from both sides</em>
5 = 5 TRUE (infinitely many solutions)
(1) y = 4x + 5 and (2) y = x + 5
substitute (1) to (2):
4x + 5 = x + 5 <em>subtract 5 from both sides</em>
4x = x <em>subtract x from both sides</em>
3x = 0 <em>divide both sides by 3</em>
x = 0
Put it to (2):
y = 0 + 5 = 5
One solution (0, 5)
(1) y = 4x + 5 and (2) y = 8x + 10
substitute (1) to (2):
4x + 5 = 8x + 10 <em>subtract 5 from both sides</em>
4x = 8x + 5 <em>subtract 8x from both sides</em>
-4x = 5 <em>divide both sides by (-4)</em>
x = -1.25
Put it to (1):
y = 4(-1.25) + 5 = -5 + 5 = 0
One solution (-1.25, 0)
Answer:
b. 610, 50
Step-by-step explanation:
The mean score is the sum of all scores divided by the number of tests.
So if you increase the grade on each test, the mean will increase.
The standard deviation is the square root of the sum of the power of 2 of all scores subtracted by the mean(that is, the distance between each score and the mean) and divided by the number of tests.
As you increase each score by 10, the mean will change by 10. However, the distance between each score and the mean will stay the same, which means that the standard deviations remains unchanged.
In this problem, we have that:
Mean = 600
Standard deviation = 50
Scores increased by 10
So
Mean = 610
Standard deviation = 50
So the correct answer is:
b. 610, 50