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hjlf
3 years ago
15

What are the domain and range of the function f(x) = 3x + 5?

Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

D: (-∞, ∞)

R: (-∞, ∞)

Step-by-step explanation:

All linear equations have infinite domains and ranges. This is because they are endless, they keep going on forever and ever. When you graph this function, it's a straight line with no limits. If you decide to plot f(1000000), you <em>will</em> have a definite point where the line touches x=1000000. It will go on forever.

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AveGali [126]

The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

Solution:

Given expression is 4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}

Using exponent rule: \frac{1}{a^{-m}}=a^m

$\Rightarrow4x \cdot x^{5}.x^{-3}

Using another exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x \cdot x^{5-3}

$\Rightarrow4x \cdot x^{2}

Using exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x^{1+2}

$\Rightarrow4x^3

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

8 0
3 years ago
Teesha is in the French club. There are 29 students in the club. The French teacher will pick two students at random to guide vi
Makovka662 [10]
Probability of event A ( Tesha will not be picked as a guide ) :
P ( A ) = Number of ways it can happen / Total number of outcomes
P ( A ) = (29 - 2) / 29 = 27 / 29 ≈ 0.93
Answer:
The probability that Tesha will not be picked as a guide is 0.93 or 93 %. 
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Elis [28]
N=-1 distribute then isolate your variable and divide

4 0
3 years ago
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A triangle has vertices at L(2, 2), M(4,4), and N(1,6). The
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Answer:

The rule for the transformation is (x, y) + (-X, -Y)

The coordinates of L'are (-2,-2).

The coordinates of N' are (-1,-6)

Step-by-step explanation:

90 degree rotation from (x,y) results in (-x, y) and 180 degree results in (-x,-y)

The coordinates will change accordingly

L(2,2) will become L'(-2,-2)

M(4,4) will become M'(-4,-4)

and

N(1,6) will become N'(-1,-6)

So the correct statements are:

The rule for the transformation is (x, y) + (-X, -Y)

The coordinates of L'are (-2,-2).

The coordinates of N' are (-1,-6) ..

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Need help please show your work <br>find the missing angles of triangles ​
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Answer:

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