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faust18 [17]
3 years ago
10

Answer question 4 and 5

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Answer:

4. A 5. B

Step-by-step explanation:

A hypothesis is an educated guess. When you write a report you should use an if, then statement.

An observation is a fact, not an opinion.

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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
4 years ago
The sum of two consecutive integers is 329
saw5 [17]
A = first integer
a + 1 = 2nd integer

a + a + 1 = 329
2a + 1 = 329
2a = 329 - 1
2a = 328
a = 164

a + 1 = 164 + 1 = 165

so ur 2 consecutive integers are : 164 and 165
3 0
3 years ago
A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow roses. What is the probability of draw
svp [43]

Answer:

the probability of drawing a pink rose from the bunch of roses is 25%

Step-by-step explanation:

assuming that each rose es equally likely to be chosen then the probability of picking one pink rose is

probability = number of pink roses / total number of roses = 3 / (5+3+2+2) = 3/12 = 0.25 (25%)

then the probability is 25%

8 0
3 years ago
Find the area of the figure.
Eva8 [605]

Answer:

Step-by-step explanation:

Base of the triangle= 37•5m

Height of the triangle= 6•4m

Area of the triangle= 1/2 × base × height

= 1/2 × 37•5 × 6•4

= 120 m^2

Please mark it as brainliest:)

6 0
3 years ago
What are the coordinates of the center of the circle shown below?<br> x^2+y^2-12x-6y+9=0
blondinia [14]
The correct answer is (6,3)
hope i helped you out in some type of way :)
3 0
3 years ago
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