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3 years ago

Here’s the question tysm for your help

Mathematics

2 answers:

Strike441 [17]3 years ago

5 0

Answer: the slop is 23

Step-by-step explanation:

wel3 years ago

5 0

Answer:

1) b,c

2) -3/2

3) y = -3/2x + 30

4) 16 min

5) 8

6) 90

Step-by-step explanation:

4) 6 = -3/2x + 30

-24 = -3/2x

-48 = -3x

x = 16

6) (0,50) (2,230) slope = (230 - 50) / (2 - 0) = 180/2 or 90

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68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school

Ghella [55]

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

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3 years ago

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4+4+8+8+422+33+65520222222+222

Nitella [24]

Answer:

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3 years ago

Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$