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9966 [12]
3 years ago
13

Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

  • 27, 28, 29 and 30

Step-by-step explanation:

<u>Let the integers be:</u>

  • n, n + 1, n + 2 and n + 3

<u>Their sum is 114:</u>

  • n + n + 1 + n + 2 + n + 3 = 114

<u>Solving for n:</u>

  • 4n + 6 = 114
  • 4n = 108
  • n = 108/4
  • n = 27

<u>The numbers are:</u> 27, 28, 29 and 30

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Determine whether or not the given differential equation is separable, that is, whether it can be expressed in the form p(y) dy
Flura [38]

Answer:

Yes , it is separable

Step-by-step explanation:

We are given that DE

\frac{dy}{dx}-2y=16+3xy+24x

We have to find the the given DE is separable or not.

\frac{dy}{dx}-2y=16x+3xy+24x

\frac{dy}{dx}=16+3xy+24x+2y

\frac{dy}{dx}=16+24x+3xy+2y=8(2+3x)+y(3x+2)

\frac{dy}{dx}=(2+3x)(8+y)

\frac{dy}{8+y}=(2+3x)dx

When the DE is separable then it can be written as

p(y)dy=q(x)dx

Given DE is in Separable form.Therefore, it is separable.

7 0
3 years ago
The cube of the difference of 4 times x and 9
grigory [225]

Answer:

<h2>64x³ - 432x² + 972x - 729</h2>

Step-by-step explanation:

Write the statement into an expression

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Ratling [72]

Answer:

both p and q

Step-by-step explanation:

This is because each x coordinate is mapped to a member in the co domain

3 0
4 years ago
O is the midpoint of segment IU. If I is (-7, 2) and O is (5, -8), what are the coordinates of U?
vaieri [72.5K]

Answer:

(17 , -18)

Step-by-step explanation:

5 = (-7 + x) / 2

x = 17

-8 = (2 + y) / 2

y = -18

3 0
3 years ago
PLS HELP ME WITH 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!
melisa1 [442]
Number 5 is c, number 6 is 'a'
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