= -3/2 * -5 1/4
convert 5 1/4 to improper fraction
= -3/2 * -21/4
multiply numerators; multiply denominators
= (-3*-21)/(2*4)
multiply in parentheses
= 63/8
convert back to mixed number
= 7 7/8
ANSWER: Since the exact answer is the mixed number 7 7/8, a reasonable estimate is 8.
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Answer:
B) {
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Step-by-step explanation:
A function cannot have replicated x-coordinates. All the other answer choices do, so you would pick this one.
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Answer:
As outdoor temperatures increased, residents' electric bills increased.
Step-by-step explanation:
<h2>
Answer and Explanation to questions 13,14,15</h2>
13)
as given in the question.
14)
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
The only rational root is -2.336071261738453
The other roots are complex (imaginary).