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3 years ago

An item is regularly priced at $51. Amanda bought it on sale for 85% off the regular price. How much did Amanda pay?

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

85% off $51 is $43.35 which equals to $7.65

Amanda paid only $7.65 for the 85% off the original price.

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Cassie has 10 cousins. There is only 1 Jackson cousin, but there are twice as many Lopez cousins as Chen cousins. How many Lopez

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2 years ago

Solve y′′=sin(x) if y(0)=0 and y′(0)=5. y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$

Step-by-step explanation:

Rewrite the differential equation as:

$\frac{d^{2} y }{dx^{2} } =sin(x)$

Integrate both sides with respect to x:

$\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx$

$\frac{dy}{dx} =-cos(x)+C_1$

Integrate one more time both sides with respect to x:

$\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx$

$y(x)=-sin(x)+C_1x+C_2$

Now that we find the solution, let's find its derivate:

$y'(x)=C_1-cos(x)$

Evaluating the initial conditions:

$y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0$

$y'(0)=C_1-cos(0)=5\\C_1=5+1=6$

Replacing the value of the constants that we found in the differential equation solution:

$y(x)=6x-sin(x)$

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3 years ago

Slope-intercept X-intercept = 3 , y-intercept = 3

Mama L [17]

Answer:

y=-1x+3

Step-by-step explanation:

Slope intercept form: y=mx+b

x intercept (3,0)

y intercept (0,3)

$slope= \frac{y2-y1}{x2-x1} = \frac{3-0}{0-3} =\frac{3}{-3} =-1$

start subbing in numbers from one of the points. I'm using hte x intercept so it would be (0,3). m = slope

y=mx+b

3=-1*0+b

3=0+b

b=3

so now that you know what b and the slope is,

y= -1x+3

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3 years ago