Let W represent the width of a rectangle. The length is 7 cm more than the width. 7 cm less than twice the width.
1 answer:
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Answer:
- correct answer is C
- Haley incorrectly applied the distributive property
Step-by-step explanation:
If you simplify the given equation, you find it matches choice C.
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Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...
1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x
Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.
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<em>Additional comment</em>
It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.