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Nataly_w [17]
2 years ago
15

Find the values of p and q in the arithmetic progression-12,p,q,18​

Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Answer:

p=14

q=16

Step-by-step explanation:

if,  

           a,b,c,d..........  (Arithmetic progression)

           b-a=c-b=d-c

      The differences of the adjacent elements are equal.

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What is the maximum value of the picture below?
Cloud [144]

Answer:

y = 4

Step-by-step explanation:

The maximum value occurs at the vertex

vertex = (2, 4 )

when x = 2 the maximum value is y = 4

4 0
2 years ago
Why is it helpful to rewrite inequalities
mr_godi [17]

Answer:

  that puts the solution in the form ...

     variable is ...

Step-by-step explanation:

It isn't always.

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Often, we like to have a solution be in the form ...

  variable is ...

So, for an inequality, that puts the variable on the left:

  x > 3

  y < 27

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Personally, I like to see the answer in a form that has the variable and its values in the same relation as on a number line. This means, my preferred inequality symbols are < or ≤, since those have the smaller numbers on the left. I would write the first example above as ...

  3 < x

showing that the shaded portion of the number line (representing possible values of the variable) is to the right of the open circle at 3. For me, it is more mental effort to translate x > 3 to the same image.

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The forms we choose to use are all about making communication as easy as possible.

7 0
3 years ago
The sum of 1/3x^2 + 4x and 1/2x^2 -1/3x + 3
Marrrta [24]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Write the inequality!! Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find
Butoxors [25]

Answer:   \frac{35-28}{x} \leq 6

Step-by-step explanation:

Let x be the average number of pounds Fido must loss.

Since, the initial weight of Fido is 35 pounds.

And, After losing the weight, the new weight of Fido in pounds = 28 pounds.

Then the time taken for losing the weight

= \frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}

= \frac{35-28}{x}

According to the question,  it must lose weight within 6 months,

Thus,   \frac{35-28}{x}\leq 6

Which is the required inequality to find the average number of pounds per month.

By solving it we, get,    x\geq \frac{7}{6}

6 0
2 years ago
What is the variance of the data set? 8, 9, 10, 16, 17
adoni [48]
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4,  -4² = 16

<span>9 - 12 = -3,  -3² = 9
</span>
<span>10 - 12 = -2,  -2² = 4
</span>
<span>16- 12 = 4,  4² = 16</span>

<span>17- 12 = -5,  -5² = 25
</span>
Sum of the squares =   16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14
6 0
2 years ago
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