a) –a + b is negative
b) a – b is positive
c) b-a is negative
Step-by-step explanation:
1. Suppose a and b are real numbers where a > 0 and b < 0.
a. Is –a + b positive or negative. Explain how you know.
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
–a + b
= -(6)+(-5) = -6-5 = -11
So, –a + b is negative
b. Is a – b positive or negative? Explain how you know.
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
a - b
=6-(-5) = 6+5 = 11
So, a – b is positive
c. Is b – a positive or negative. Explain how you know
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
b-a
=(-5)-(6)
= -5-6
= -11
So, b-a is negative
Keywords: Solving Integers:
Learn more about solving integers at:
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Answer: Choice A) mean, there are no outliers
Have a look at the image attached below. I made two dotplots for the data points. The blue points represent bakery A. The red points represent bakery B. For any bakery, the points are fairly close together. There is no point that is off on its own. So there are no outliers, making the mean a good choice for the center. If there were outliers, then the median is a better choice. The mean is greatly affected by outliers, while the median is not.
Answer:
c. 24 ft
Step-by-step explanation:
if the 12 inch ruler casts a 6 inch shadow (shadow has half size) then a tree with 12 feet long shadow will have a height of 24 feet
Answer: x can equal -3.2 or -7.4.
Step-by-step explanation:
The correct expression is:
2|x+5.3|=4.2
So, we have an absolute value equation, where it can be positive or negative:
2 (x+5.3)=4.2
2x+10.6 =4.2
2x=4.2-10.6
2x = -6.4
x= -6.4/2
x = -3.2
2[-(x+5.3)]=4.2
-2x-10.6 =4.2
-2x= 4.2+10.6
-2x= 14.8
x= 14.8/-2
x= -7.4
x can equal -3.2 or -7.4.
Feel free to ask for more if needed or if you did not understand something.
Answer:
210
Step-by-step explanation:
5 is a prime number, 6 = 2·3 and 7 is a prime number. Since those number do not have common factors, the least common multiple will be their product:5·6·7 = 210 . Given fractions are already in order from least to greatest.