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Vera_Pavlovna [14]
3 years ago
14

3. If I can drive 255 miles in 5 hours how many miles per hour can I drive? Explain how to solve and then solve the equation.

Mathematics
2 answers:
rusak2 [61]3 years ago
6 0

Answer:

the answer is 51 miles per hour

Step-by-step explanation:

i just did unit rate.. kinda hard to explain especially on computer... hope this helps.

soldi70 [24.7K]3 years ago
4 0
You would solve by taking 255 and dividing it by 5 to get how many mile he drove in one hour and the answer is 51 miles per hour
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Answer:

The graph is shifted 3 units to the left

Step-by-step explanation:

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2 years ago
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Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).
Firdavs [7]

Answer:

A) Particular solution:

2x+\frac{1}{2}e^{-x}-\frac{8}{5}

B) Homogeneous solution:

y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))

C) The most general solution is

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

Step-by-step explanation:

Given non homogeneous ODE is

y''+4y'+5y=10x+e^{-x}---(1)

To find homogeneous solution:

D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)

To find particular solution:

y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\

Substituting y_{p},y'_{p},y''_{p} in (1)

y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\

Equating the coefficients

5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\

The general solution is

y=y_{h}+y_{p}

from (2) ad (3)

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

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2 years ago
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A

Step-by-step explanation:

The triangle shown has all 3 sides equal in length, hence it is an equilateral triangle.

A property of equilateral triangles is the angles are congruent.

The sum of the 3 angles = 180°, hence the measure of each angle is

\frac{180}{3} = 60° → A


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3 years ago
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Answer:

figure skates will be $1 cheaper.

Explanation:

<u>given equation</u>:

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f(x) = 1.50x + 2.00

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$7.5 - $6.5

$1

4 0
2 years ago
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