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Rainbow [258]
2 years ago
10

Let f(x) = 4|x|

Mathematics
1 answer:
Masja [62]2 years ago
4 0

Answer:

g(x)=4|x-5|

Step-by-step explanation:

Since the question wants you to <em>shift 5 units to the right</em>, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.

Hope this helps! :)

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The perimeter of the rectangle below is 130 units. Find the length of side VY.
Shkiper50 [21]

Answer:

VY = 28 units

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2 ( length + breadth )

given P = 130 , then

2(5y + 2 + 4y) = 130 ( divide both sides by 2 )

9y + 2 = 65 ( subtract 2 from both sides )

9y = 63 ( divide both sides by 9 )

y = 7

Then

VY = 4y = 4 × 7 = 28

7 0
1 year ago
The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to
melisa1 [442]

Answer with Explanation:

Total number of members in School Club = 80 members

Number of member randomly Selected,that is sample size used  (P) = 50 members

Number of members who are planning to vote for Talia = 38 members

Z Score for 95% confidence interval =1.96

it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%

E=\frac{Z*\sigma}{\sqrt{P}}\\\\ \frac{12}{100}=\frac{1.96 * \sigma}{\sqrt{50}}\\\\ \sigma=4.32890

Standard Deviation=4.3 (approx)

→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.

→So, members which will vote for Talia as president of the club lies between minimum of 33 members and maximum of 42 members.

5 0
3 years ago
Read 2 more answers
Find 12 +13 - (-9)+(-19.4) +3.3
Rina8888 [55]

Answer:

17.9

Step-by-step explanation:

You could use PEMDAS but you don't really need to because this is just adding an subtracting.

5 0
3 years ago
Read 2 more answers
What do u think which is more Simple Interest or Compound Interest?
ArbitrLikvidat [17]

Answer:

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate.

5 0
2 years ago
Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making
Zepler [3.9K]

Answer:

  • D.  l = 3  ||  4 < c < y   ||  8l + 7.5c ≥ 70

Step-by-step explanation:

<h3>Work at library</h3>
  • Time  = 3 hours ⇒ l = 3
  • Payment = $8 per hour
  • Total payment = 8l
<h3>Work at coffee shop</h3>
  • Time = between 4 and 7 hours ⇒ 4 < c < 7
  • Payment = $7.5 per hour
  • Total payment = 7.5c

Target income = at least $70 daily  

<u>So the system as per above parameters:</u>

  • l = 3
  • 4 < c < y
  • 8l + 7.5c ≥ 70

Correct option is D

3 0
3 years ago
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