The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?A.
A horizontal shift to the right 7.5 units
B.
A horizontal shift to the left 7.5 units
C.
A vertical shift down 56.25 units
D.
A vertical shift up 56.25 units
Answers
Answer:
A. A horizontal shift to the right 7.5 units
Step-by-step explanation:
Replacing x with x-7.5 shifts the graph 7.5 units to the right.
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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.
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BP Under 30 30-49 Over 50 Total Low 27 38 31 96 Normal 48 90 92 230 High 23 59 72 154 Total 98 187 195 480 What is the percentage of employees who are 30 and over and have normal or low blood pressure? Group of answer choices 67.9% 52.3% 41.7% 75.4%
Solve the equation for x, where x is a real number: -2x^2 + 7x - 5 = 0
5 (x - 3) > 15show your work
Square root of 56 is between what two whole numbers
Answers
Answer:-95 1/7 feet
Step-by-step explanation:
-120 4/7+25 3/7=-95 1/7 feet
Answers
Answer:
The posterior probability that the lathe tool is properly adjusted is 94.7%
Step-by-step explanation:
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In your problem we have that:
-A is the probability that the part chosen is found to be acceptable.
The problem states that the probability its lathe tool is properly adjusted is 0.8. When it happens, there is a 0.9 probability that the parts produced pass inspection. There is also a 0.2 probability of the lathe is out of adjustment, when it happens the probability of a good part being produced is only 0.2.
So, P(A) = P1 + P2 = 0.8*0.9 + 0.2*0.2 = 0.72 + 0.04 = 0.76
Where P1 is the probability of a good part being produced when lathe tool is properly adjusted and P2 is the probability of a good part being produced when lathe tool is not properly adjusted.
- P(B) is the the probability its lathe tool is properly adjusted. The problem states that P(B) = 0.8
P(A/B) is the probability of A happening given that B has happened. We have that A is the probability that the part chosen is found to be acceptable and B is the probability its lathe tool is properly adjusted. The problem states that when the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. So P(A/B) = 0.9
So, probability of B happening, knowing that A has happened, where B is the lathe tool is properly adjusted and A is that the part randomly chosen is inspected and found to be acceptable is:
The posterior probability that the lathe tool is properly adjusted is 94.7%
Answers
Answer:
The answer is
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
Hope this helps you
Answers
Answer:
a) y= 2x +3
b) y= ¼x +1
Step-by-step explanation:
Please see the attached picture for the full solution.
Further explanation:
b) y-intercept of A= 5
y-intercept of line= 5 -4= 1
Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.
2
B.
-
C.
-2
D.
Answers
Answer: B) -1/2
Explanation: Parallel lines have the same slopes, but different y intercepts.
Answer:
the slope of the red line is also -1/2
Step-by-step explanation:
Answers
Answer:
(-5,7)(2,8)
Step-by-step explanation:
your just adding and subtracting the x and y with the rule it gives you