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andrew11 [14]
3 years ago
12

Suppose that ƒ is an odd function of x. Does knowing that limxs0+ ƒ(x) = 3 tell you anything about limxs0- ƒ(x)? Give reasons fo

r your answer
Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

we are given

f(x) is a odd function

so, f(-x)=-f(x)

-f(x)=f(-x)

now, we are given

\lim _{x\to 0+}f\left(x\right)=3

Let's multiply both sides by -1

-\lim _{x\to 0+}f\left(x\right)=-3

\lim _{x\to 0+}-f\left(x\right)=-3

we have

-f(x)=f(-x)

\lim _{x\to 0+}f\left(-x\right)=-3

now, let's consider y=-x

so, when x--->0+

but for y=-x

y--->0-

now, we can plug it

\lim _{y\to 0-}f\left(y\right)=-3

replace y as x

we get

\lim _{x\to 0-}f\left(x\right)=-3.................Answer

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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
HELP MEEEEEEEEE plz​
Diano4ka-milaya [45]

Answer:

15

Step-by-step explanation:

Red : Blue :

3        8

We have 40 blue marbles

Multiply 8 by what to get 40

40/8 =5

So we need to multiply by 5

Red : Blue :

3*5      8*5

15         40

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8 0
3 years ago
Read 2 more answers
Replace? with =, >, or < to make the statement true. 16 ÷ 4 + 12? 4 + 24 ÷ 2
AleksAgata [21]
<em><u>16/4+12 ? 24/2</u></em>
<em><u>4+12 ? 12</u></em>
<em><u>16 ? 12</u></em>
<em><u>?=></u></em>

<em><u>ANSWER: A - ></u></em>
6 0
3 years ago
Which ratio is equivalent to 1 to 8?<br> 7 to 14<br> 7 to 9<br> 6 to 41<br> 6 to 48
Ivan

6 to 48 simplified

it becomes 1 to 8

so the answer is 6 to 48

plz mark as brainliest

5 0
2 years ago
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Can somebody plz answer these questions correctly thanks!!
nadya68 [22]

Answer:

The decimal form of 3/5 is .6 or .60 and the percent form is 60%.

The fraction form of 0.3 is 30/100 or 3/10 and the percent form is 30%.

The decimal form of 3/20 is .15 and the percent form is 15%.

The fraction form of 0.58 is 58/100 or 29/50 and the percent form is 58%.

The decimal form of 19/50 is .38 and the percent form is 38%

4 0
3 years ago
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