3 years ago

Need answer asap due midnight today

1 answer:

4 0

Equation is x^2 + 7x
Proof is by setting that equal to 144, then subtracting it to move it to the other side
Simplified to (x-9) (x+16)
Answers are 9 and -16

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Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.<br> How old is Kevin?

tester [92]

Answer:

kevin = 8 - hope this helped

Step-by-step explanation:

Kevin = 4d Kevin is 4 times as old as Daniel

Kevin = d + 6 Kevin is 6 years older than Daniel

4d = d + 6 They both equal K, so they are equal

3d = 6 subtracts D from both sides

d=6/3 = 2

If Daniel is 2 then Kevin is 4x2=8

If Daniel is 2 then Kevin is 2+6 = 8

Kevin is 8

Daniel is 2

3 0

2 years ago

Solve the differential equation.<br><br> (y^2 + xy^2)y' = 1

stira [4]

$(y^2 + xy^2)y' = 1 \ \Rightarrow\ (y^2 + xy^2)\frac{dy}{dx}= 1 \ \Rightarrow\\ \\
y^2(1 + x) \frac{dy}{dx} = 1 \ \Rightarrow\ y^2 dx = \frac{dx}{1 + x}\ \Rightarrow \\ \\
\int y^2 dx =\int \frac{dx}{1 + x} \ \Rightarrow\ \frac{1}{3}y^3 = \ln|1+x| + C\ \Rightarrow \\ \\
y^3 = 3 \ln|1 + x| + 3C\ \Rightarrow\ y = \sqrt[3]{3\ln|1+x| + K},\ \text{where $K = 3C$}
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