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erastovalidia [21]
3 years ago
5

Consider the first order differential equation

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0
Idk but haha hello why not but why
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Please help with this i’ll give brainliest
cricket20 [7]

Answer:

<em>Answer to part A:</em>

1 notebook = $2.5

1 pen = $1.5

<em>Answer to part B:</em>

           = 3 pens.

Step-by-step explanation:

  • <em>Here's the simultaneous equation.</em>

4n + 3p = $14.50

5n + 6p = $21.50

  • <em>Multiply the numerator by the denominators first number and vice-versa.</em>

5(4n + 3p) = $14.50

4(5n + 6p) =$ 21.50

  • <em>Here's what you should get.</em>

20n + 15p = $72.50

20n + 24p = $86

  • <em>Eliminate the like numbers by subtracting the denominator from the numerator.</em>

20n - 20n        = 0

15p - 24p         = -9p

$72.50 - $86   = -$13.5

  • <em>Divide the result after the equal sign by the result before the equal sign.</em>

-$13.5 ÷ -9 = $1.5p

  •   <em>Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.</em>

4n + 3p = $14.50

4n + 3($1.5) = $14.50

4n + $4.5 = $14.50

4n = $14.50 -  $4.5

4n = $10.00

n = $2.5

  • <em>Here's the answer to part A:</em>

1 notebook = $2.5

1 pen = $1.5

  • <em>Part B::::::::::::::::::</em>

1 ($1.5) = 3($2.5)

$1.5 + $7.5 = $9.0

$27 ÷ 9 = $3

  • <em>Therefore, she'll buy each supply thrice:</em>

3 ( $1.5 + $7.5 ) = 3 ( $9.0 )

( $4.5 + $22.5 ) = ( $27 )

  $4.5 + $22.5 = $27

  • <em>Answer to part B:</em>

           = 3 pens.

<em />

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3 0
2 years ago
Is the polynomial prime? <br> 7x2-35x+2x-10
wolverine [178]

The given polynomial is not a prime polynomial.

Given the polynomials, we have to choose the polynomial which is prime.

A polynomial with integer coefficients that cannot be factored into lower degree polynomials is Prime polynomials.

7x^2-35x+2x-10

7x^2-33x-10

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

<h3>What is the formula for the quadratic roots?</h3>

\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=7,\:b=-33,\:c=-10

x_{1,\:2}=\frac{-\left(-33\right)\pm \sqrt{\left(-33\right)^2-4\cdot \:7\left(-10\right)}}{2\cdot \:7}

x_{1,\:2}=\frac{-\left(-33\right)\pm \sqrt{\left(-33\right)^2-4\cdot \:7\left(-10\right)}}{2\cdot \:7}

x_{1,\:2}=\frac{-\left(-33\right)\pm \:37}{2\cdot \:7}

x_1=\frac{-\left(-33\right)+37}{2\cdot \:7},\:x_2=\frac{-\left(-33\right)-37}{2\cdot \:7}

x=5,\:x=-\frac{2}{7}

Therefore the factor is (x-5) and (7x+2).

can be factored

∴ not a prime polynomial.

To learn more about the prime polynomial visit:

brainly.com/question/26388060

#SPJ1

4 0
2 years ago
Please help! 20 points!
MakcuM [25]

12/3 = 4

 it was dilated with a scale factor of 4

6 0
4 years ago
On Heiki's trip, the ratio of distance traveled to time is 112 km to 3 h.
allsm [11]
336

112x = 336

112
x3
=336

37.3
x3
= 112

37.3
x9
=336
6 0
3 years ago
I’m trying to figure out What equals 6 x 9?
Assoli18 [71]

Answer:

54

Step-by-step explanation:

6x9=54

6 0
2 years ago
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