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sweet [91]
3 years ago
5

May you help me with this question please

Mathematics
2 answers:
rosijanka [135]3 years ago
4 0

Answer:

<em>Option C</em>

Step-by-step explanation:

We are given the inequality 2x - 8 < 12,

2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C

As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).

<em>Solution ⇒ Option C</em>

Maru [420]3 years ago
3 0

Answer:

C. x < 10

Step-by-step explanation:

2x - 8 < 12

Add 8 to both sides

2x < 20

Divide both sides by 2

x < 10

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Why having a parabola with it's points calibrated is important?​
Dominik [7]

Answer:

Because the points can often represent something, i.e if you used quadratics to model say the area of something, calibrating the turning point, will give you the given length needed for the dimension of that, plus the maximum area those dimensions can yield.

Step-by-step explanation:

7 0
4 years ago
A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
vova2212 [387]

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0
3 years ago
What is 6,588 divided by 4
nalin [4]

Answer:

1647

Step-by-step explanation:

1647

4

6588

4      

2 5    

2 4    

 1 8  

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   2 8

     0

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to (r^-7)^6?<br>A: r^42<br>B: 1/r^42<br>C: -7r^6<br>D: 1/r​
cricket20 [7]

Answer:

B

Step-by-step explanation:

(r^-7)^6 = r^-42 = 1/r^42

6 0
3 years ago
Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a the past year. Suppose a sa
strojnjashka [21]

Answer:

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =$3.26 million

Standard Deviation, σ = $1.2 million 100

We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.2}{\sqrt{100}} = 0.12

P(mean salary of the 100 players was less than $3.0 million)

P(x < 3) = P(z < \displaystyle\frac{3-3.26}{0.12}) = P(z < -2.167)

Calculating the value from the standard normal table we have,

P(Z < -2.167) = 0.015 \\P( x < 3) = 1.5\%

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

6 0
4 years ago
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