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GrogVix [38]
3 years ago
15

f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 uni

ts downward.
Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

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What is 12.791 rounded to the nearest hundredth
Viefleur [7K]

To the hundredth is 2 numbers after the decimal so since the third number is a 1 and its less than 5 it does no damage to the 9 therefore you just take away the one and you have your rounded answer, 12.79

8 0
3 years ago
Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?
Bond [772]

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}

Step-by-step explanation:

Given the equation

5x - y = 12

converting the line into the slope-intercept form y = mx+b, where m is the slope

-y = 12-5x

y = 5x-12

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

y-y_1=m\left(x-x_1\right)

y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)

y-3=-\frac{1}{5}\left(x+2\right)

Add 3 to both sides

y-3+3=-\frac{1}{5}\left(x+2\right)+3

y=-\frac{1}{5}x+\frac{13}{5}

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}
5 0
3 years ago
(5+10p) +13<br> a.28p<br> b.15p+13<br> c.23p+5<br> d.10p+18
Sliva [168]
<span><span>5+10p</span>+13 <--remove the parentheses  
</span><span>And now just add like terms
</span><span>(10p)</span>+<span>(5+13)
</span><span>10p</span>+<span>18 <---answer</span>
3 0
3 years ago
Read 2 more answers
X is 30% of 200, What is x? ( is/of = p/100) * Your answer
Inessa [10]

Answer:

30/100 *200/1= 6000/100=60

8 0
3 years ago
Three lines meet at a point. In a complete sentence, describe the relevant angle relationship in the diagram.
Nonamiya [84]

Answer:

Problem:

180-144=36

36/2=18

A=18

Step-by-step explanation:

The full area of half of a circle is equal to 180 degrees. To find the missing value of both A's you must take the full degrees of 180 and subtract 144 from 180. Next you have to take the remaining number and divide it by two because both of the missing value's are equivalent.

3 0
3 years ago
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