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puteri [66]
3 years ago
11

6 times a number is 16 less than the square of that number. Find the negative solution

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

The negative solution is -2

Step-by-step explanation:

Let the number be x

From the question we can deduce the equation below;

x^{2}- 16 = 6x

Solving the quadratic equation by factorization;

x^{2}- 16 - 6x = 0

x^{2} - 6x - 16 = 0

the factors of the quadratic equation are -8 and 2

x^{2} - 8x + 2x - 16 = 0

x(x-8)+2(x-8)=0

(x+2)(x-8)=0

Therefore, x = -2 or 8

The negative solution is -2.

PROOF;

x^{2}- 16 = 6x

[-2]^2 - 16 = 6(-2)

4 - 16 = -12

-12 = -12

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A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interview
lara [203]
36 all together.
22 first
14 second
8 random chosen

A) all first shift:
One is pulled 22/36
Second is pulled 21/35
Third is pulled 20/34
Fourth 19/33
Fifth 18/32
Sixth 17/31
Seventh 16/30
Eighth 15/29

Multiply all those together
Probability of all first shift is 0.010567296996663
(That means it's not happening anytime soon lol)

B) one worker 14/36
Second 13/35
Third 12/34
Fourth 11/33
Fifth 10/32
Sixth 9/31
Seventh 8/30
Eighth 7/29

Multiply all those together
Probability of all second shift is 0.000099238805645
(That means it's likely to see 100x more picks of all first shift workers before you see this once.. lol)

C) 22/36
21/35
20/34
19/33
18/32
17/31

Multiply..
Probability.. 0.038306451612903


D) 14/36
13/35
12/34
11/33

X... p=0.016993464052288


Probably not correct, haven't done probability in years.
8 0
2 years ago
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
julsineya [31]

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

  • d= 500*0.045= 22.5 mg

After second dose:

  • d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

  • d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

  • 500+19*22.5= 927.5 mg
5 0
2 years ago
fabiana decides to save the money she is earning from her after school job for college. she makes an initial contribution of 300
Oxana [17]

Answer:

A. Total Money Contributed after n months = \$ 3000 + \$ (500\times n)

B. Total Money Contributed after 24 months = \$ \ 15000

Step-by-step explanation:

Given:

Initial contribution = \$\ 3000

each month contribution =\$\ 500

After 1 month contributed = \$\ 3000 + \$\ 500 \times 1= \$ \ 3500

Solving for Part A

let n be the number of months

∴ Total Contribution after n months = Initial contribution + (each month contribution \times Number of months = \$\ 3000 + \$\ 500 \times n

Solving for Part A

Now n= 24 months

∴ Total Contribution after 24 months = \$\ 3000 + \$\ 500 \times 24 = \$\ 3000 + \$\ 12000= \$\ 15000

3 0
3 years ago
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Alexxandr [17]

Answer:

Use quickmath.com

or

You can use photo math to get the answer

3 0
2 years ago
Read 2 more answers
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alexandr402 [8]

Answer:

12 pears

Step-by-step explanation:

Since for every 3 pears 4 apples, you have to divide the 36 apples by 3 and recieve 12 pears. Hope this helped.

4 0
3 years ago
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