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Gennadij [26K]
3 years ago
15

The reciprocal parent function is reflected across the x- axis, then translated 5 units right and 7 units down . Write an equati

on that could represent this new function , then identify the asymptotes
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

Equation: f'"(x) = -\frac{1}{x-5}-7

Asymptotes: (x,y) = (5,-7)

Step-by-step explanation:

Given

Let the reciprocal function be:

f(x) = \frac{1}{x}

First, it was reflected across the x-axis.

The rule is: (x,-y)

So, we have:

f'(x) = -\frac{1}{x}

Next, translated 5 units right.

The rule is: (x,y)=>(x-5,y)

So:

f"(x)= -\frac{1}{x-5}

Lastly, translated 7 units down.

The rule is: (x,y) => (x,y-7)

So:

f'"(x) = -\frac{1}{x-5}-7

To get the vertical asymptote, we simply equate the denominator to 0.

i.e.

x - 5 = 0

x = 5

To get the horizontal asymptote, we simply equate y to the constant.

i.e.

y = -7

(x,y) = (5,-7)

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sattari [20]
The answer is 1. 9 over 9 is a whole, which is one. 1 to the second power is 1. 1 to the 7th power is 1. No matter how many exponents you put on 1, it will always stay one. So the answer is 1.
3 0
3 years ago
AKAJAXOSPAPXODAOAPA HELP
Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

<em>I </em><em>multiplied</em><em> </em><em>everything</em><em> </em><em>by </em><em>100 </em><em>to </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>decimals</em><em>.</em>

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. <em>I </em><em>used </em><em><u>r </u></em><em>so </em><em>as </em><em>not</em><em> to</em><em> </em><em>mix </em><em>up </em><em>o </em><em>with </em><em>0</em><em>.</em><em> </em>

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0
3 years ago
Ken spent 1/5 of his allowance on a movie, 3/8 on snacks, and 2/7 on games. If his allowance was $20, how much did Ken have left
Wewaii [24]
1/5 of 20 is $4. So, 20-4=$16 remaining.
3/8 of 16 is $7.50. So, 16-7.50= $8.50 remaining.
2/7 of 8.5 is $2.43. So, 8.50-2.43 is $6.07

Answer: Ken has $6.07 left after all his purchases.

6 0
3 years ago
Read 2 more answers
1) Bob weighed 200 lbs, but after dieting for 6 months, he weighed 170 lbs.
aivan3 [116]

Answer: 15%

Step-by-step explanation:

The Percentage decrease will be:

= Decrease in weight / Old weight × 100

= (200 - 170) / 200 × 100

= 30/200 × 100

= 15%

The Percentage decrease is 15%

7 0
3 years ago
Geraldo recently saw a newspaper ad for a new version of his laptop. the projected price is $400.00, and the laptop will be out
Tanya [424]

The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.

Given that:-

Price of the laptop after 1 year = $ 400.

Inflation rate = 2.5 %

We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.

Let the price he had to pay be x.

Hence, we can write,

x + (x*(2.5)*1)/100 = 400

x(1 + 1/40) = 400

x(41/40) = 400

x = 400*40/41 = $ 16000/41 = $ 390.24.

To learn more about amount, here:-

brainly.com/question/8082054

#SPJ1

5 0
1 year ago
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