The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
1 answer:
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Answer: (g-f)(x)=-4x
Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).
Thus, we can find the equation of the lines with help of formula ×
so, equation of line created by function f(x)
y+3=×(x-1)
y+3=×(x-1)
y+3=-3x+3
y=-3x thus function f(x)=-3x
similarly, equation of line created by function g(x)
y=x thus function g(x)=x
Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x
a + b ≥ 30, b ≥ a + 10, the system of inequalities could represent the values of a and b
option A
<u>Step-by-step explanation:</u>
Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:
Let two numbers be a and b where b>a . Now ,
- The sum of two positive integers, a and b, is at least 30
According to the given statement we have following inequality :
⇒
- The difference of the two integers is at least 10
According to the given statement we have following inequality :
⇒
⇒
⇒
Therefore , Correct option is A) a + b ≥ 30, b ≥ a + 10
Answer:
The answers are given in the attachment
Step-by-step explanation:
The detailed step by step calculations are shown in the attachment.
