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vovikov84 [41]
4 years ago
15

a positive real number is 2 less than another when 4 times the larger is added to the square of the smaller the result is 49 fin

d the numbers
Mathematics
1 answer:
Novay_Z [31]4 years ago
3 0

Answer:

  • 3√5 ≈ 6.7082
  • 3√5 -2 ≈ 4.7082

Step-by-step explanation:

Let x represent the larger number. Then x-2 is the smaller one. The sum is ...

  4x + (x-2)^2 = 49

  x^2 + 4 = 49 . . . . . simplify

  x^2 = 45 . . . . . . . . subtract 4

  x = √45 = 3√5 . . . . take the square root

The larger number is 3√5, and the smaller number is 2 less, 3√5 -2.

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MAVERICK [17]

It looks like the practice ones are all that matter so I'm only going to answer those. If you need the others answered let me know.

1. 5k-9=-3k+7

Add 9 to both sides: 5k-9+9=-3k+7+9

5k=-3k+16

Add 3k to both sides: 5k+3k=-3k+16+3k

(You are adding 3 and 9 instead of subtracting them because in the equation, they are negative numbers and you have to do the opposite operation to get rid of them.)

8k=16

Divide both sides by 8: 8k/8=16/8

k=2

2. 2(w-3)+5=3w-2

Use the distributive property: 2*w-2*3+5=3w-2

2w-6+5=3w-2

Combine like terms: 2w-1=3w-2

Add 1 to both sides: 2w-1+1=3w-2+1

2w=3w-1

Subtract 3w from both sides: 2w-3w=3w-1-3w

-w=-1

Divide both sides by -1: -w/-1=-1/-1

w=1

3. 8t+9=7t+6

Subtract 9 from both sides: 8t+9-9=7t+6-9

8t=7t-3

Subtract 7t from both sides: 8t-7t=7t-3-7t

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3 0
3 years ago
An uber in Los Angeles charges $3.50 per mile and $2 for every person. If taxi cab ride for three people costs $20, how far did
Vsevolod [243]

Answer:

4 miles

Step-by-step explanation:

5 0
3 years ago
in a random sample of 45 endangered species, 12 are categorized as vulnerable, 11 are categorized as endangered, and 22 are cate
horrorfan [7]

The probability that the randomly selected sample is vulnerable or critically endangered is equal to 0.76

The probability can be determined using the following formula;

probability = number of desired events or outcomes ÷ total number of events or outcomes

The total is known to be 45, the favorable or desired outcomes can be calculated as follows;

number of desired outcomes = number of vulnerable species + number of critically endangered species

number of desired outcomes = 12 + 22

number of desired outcomes = 34

Now we calculate the probability by using the above formula;

probability = 34 ÷ 45

probability = 0.76

Therefore, 0.76 is the probability that the randomly selected species is vulnerable or critically endangered.

Although a part of your question is missing, you might be referring to this question:

In a random sample of 45 endangered species, 12 are categorized as vulnerable, 11 are categorized as endangered, and 22 are categorized as critically endangered. what is the probability that a randomly selected species from this sample is vulnerable or critically endangered? group of answer choices

11/45

0.24

0.83

0.76

12/45

To learn more about probability, click here:

brainly.com/question/24756209

#SPJ4

8 0
1 year ago
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