9514 1404 393
Answer:
step 2; misapplication of the distributive property
Step-by-step explanation:
To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...
Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55
Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.
ANSWER
Boundary line: dashed line.(not a solid boundary line)
Shading: We shade the upper half-plane.
EXPLANATION
The given inequality is
To graph this inequality, we graph the corresponding linear equation.
This is what we called the boundary line.
Since the inequality sign does not have an equal sign against, it means the boundary line is not inclusive.
This means that any point on the boundary line will not satisfy the inequality.
So we use a dashed line for the boundary line of this inequality.
We then test to see if the origin satisfies the inequality, because the boundary line is not passing through the origin.
This statement is true, so we shade the upper half plane.
See graph
-32.065 as a mixed number in lowest terms is
<u>Solution:</u>
A mixed number is a combination of a whole number and a fraction.
Need to represent -32.065 into mixed number in lowest form means need to represent -32.065 in mixed number and fraction part of the number must not have any common factors other than one between numerator and denominator
=> -32.065
Separate the decimal part, we get
= - (32 + 0.065)
Express the decimal as fraction value,
Reduce to lowest terms,
Hence -32.065 as a mixed number in lowest terms is