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3 years ago

Plss i need help with this

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

8 0

Answer:

g(x) goes to the second one

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Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow

Marat540 [252]

I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700

5 0

2 years ago

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

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2 years ago

What is the residuals for this scatterplot? I WILL MARK BRAINLIEST!

vazorg [7]

wait do what? im confused

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2 years ago

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notka56 [123]

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2 years ago

Which of the equations below could be the equation of this parabola?

Marrrta [24]

Answer:

The answer to your question is letter C.

Step-by-step explanation:

A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.

B. The same as letter A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.

C. This option is correct, is the equation of a vertical parabola and the negative indicates that it opens downward, as in the graph.

D. This option is incorrect because the equation is of a vertical parabola that opens upward.

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2 years ago