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SOVA2 [1]
2 years ago
12

Is the following situation represented by a positive integer, a negative integer, or zero?

Mathematics
1 answer:
ohaa [14]2 years ago
4 0

Answer:

Positive

Step-by-step explanation:

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The difference between John and
ddd [48]

Answer:

$46,130,75 or $43,869.25

Step-by-step explanation:

8 0
2 years ago
plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =
ElenaW [278]

Answer with Step-by-step explanation:

We are given that

f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}

\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}

Right hand limit =RHL when x> 2

Substitute

x=2+h

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}

=\frac{2}{4}=\frac{1}{2}

LHL=RHL=\frac{1}{2}

f(2)=1

LHL=RHL\neq f(2)

Hence, function is discontinuous at x=2

4 0
3 years ago
45 books represent 5% of total books at library 2.
SVEN [57.7K]
The total number of books is 900 books if 5% of the books is 45
8 0
3 years ago
ZABD and ZDBC are supplementary angles.
PSYCHO15rus [73]
<h2>Answer:</h2>

<u>By supplementary angle property</u>,

x + 78° = 180°

x = 180° - 78°

x = 102°.

5 0
3 years ago
Read 2 more answers
It takes Olivia 12.5 minutes to swim 20 laps around the pool what's Olivia's unit rate
Tom [10]

Her swimming rate can either be written as 1.6 laps per (one) minute or as 0.625 minutes per lap = 37.5 seconds per (one) lap.
In terms of number of laps per minute, the answer is
20
laps
12.5
minutes
=
1.6
laps per minute.

In terms of the number of minutes per lap, the answer is
12.5
minutes
20
laps
=
5
8
=
0.625
minutes per lap. This is the same as
0.625
min
lap
⋅
60
sec
min
=
37.5
sec
lap

The faster she goes, the more laps she can do in a minute and the fewer minutes (or seconds) it takes her to do one lap.
6 0
3 years ago
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