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GalinKa [24]
3 years ago
14

If ƒ(x ) = 3x + 1 and ƒ -1 = , then ƒ(2) =

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

f(-1)=

\frac{ - 2}{3}

f(2)=

\frac{1}{3}

Step-by-step explanation:

let f(x)=f(-1)

but f(x) =3x+1

substituting it into the equation

3x+1=-1

3x=-1-1

3x=-2

dividing through by 3

\frac{3x}{3}  =  \frac{ - 2}{3}

x =  \frac{ - 2}{3}

f(-1) =

\frac{ - 2}{3}

f(2)

let f( x )=f(2)

then

3x+1=2

3x=2-1

3x=1

dividing through by 3

\frac{3x}{3}  =  \frac{1}{3}

x =  \frac{1}{3}

f(2)=

\frac{1}{3}

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Butoxors [25]

Problem 1

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This second circle will intersect another circle of radius 3.5 and this third circle is centered at point Z.

Check out the diagram below to see what I mean.

=====================================================

Problem 2

Draw a straight line and plot L anywhere on it.

Adjust your compass to 4 cm in width. Draw a circle around point L.

This circle crosses the line at two spots. Focus on one of those spots and call it M.

Draw another circle centered at point M. Keep the radius at 4 cm.

The two circles intersect at two points. Focus on one of the points and call it N.

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Problem 3

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6 0
3 years ago
Solve equation. Show steps <br> 8+x=4x+2
statuscvo [17]

Answer:

x=2

Step-by-step explanation:

8 + x = 4x +2

Subtract 4x from both sides:

8 + x - 4x = 4x + 2 - 4x

Group like terms:

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Simplify the arithmetic:

-3x + 8 = 4x + 2 -4x

Group like terms:

-3 + 8 = 4x - 4x + 2

Simplify the arithmetic:

-3x + 8 = 2

8 0
3 years ago
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen.
Sergio039 [100]
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7 0
3 years ago
Read 2 more answers
Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean
Maksim231197 [3]

The correct option is:   a female who weighs 1500 g

<em><u>Explanation</u></em>

<u>Formula for finding the z-score</u> is:  z= \frac{X-\mu}{\sigma}

Newborn males have weights with a mean(\mu) of 3272.8 g and a standard deviation(\sigma) of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69

According to the normal distribution table,  P(z=-2.69)=0.0036 = 0.36\%

Now, newborn females have weights with a mean(\mu) of 3037.1 g and a standard deviation(\sigma) of 706.3 g.


So, the z-score for the newborn female who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18

According to the normal distribution table,  P(z=-2.18)=0.0146 = 1.46\%

As we can see that the <u>probability that a newborn female has weight of 1500 g is greater than newborn male</u>,  so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

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3 years ago
Which step is incorrect when solving the equation 2(x+9)=4(x+7)+2?
iragen [17]

Answer:

3. 2x+18=4x+26

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Hope this helps ;) ❤❤❤

8 0
3 years ago
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