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3 years ago

10

The original cost is $52 and the sale price is $38 what percent of a discount was given?

1 answer:

Nesterboy [21]3 years ago

8 0

52-38=14
14 %
--- = ----
52 100

7 %
--- = ----
26 100
The scale factor is 3.84615384615. 7•3.84615384615= <span>26.9230769231
There was a </span><span>26.9230769231% discount given.</span>

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x

yawa3891 [41]

Answer:

y = -2

Step-by-step explanation:

To find the equation of the tangent we apply implicit differentiation, and then we take apart dy/dx

The equation is

$y^2(y^2-4)=x^2(x^2-5)$

implicit differentiation give us

$\frac{d}{dx}[y^2(y^2-4)=x^2(x^2-5)]\\\\2y\frac{dy}{dx}(y^2-4)+y^2(2y\frac{dy}{dx})=2x(x^2-5)+x^2(2x)\\\\4y^3\frac{dy}{dx}-8y\frac{dy}{dx}=2x^3-10x+2x^3\\\\\frac{dy}{dx}=\frac{4x^3-10x}{4y^3-8y}$

But we know that

$m=\frac{dy}{dx}\\y=mx+b$

Hence, for the point (0,-2) and by replacing for dy/dx

$m=\frac{dy}{dx}_{(0,-2)}=\frac{4(0)+10(0)}{4(-2)^3-8(-2)}=0$

Hence m=0, that is, the tangent line to the point is a horizontal line that cross the y axis for y=-2. The equation is:

y=(0)x+b = -2

HOPE THIS HELPS!!

4 0

4 years ago

Help me with this math. Very important! Will give brainliest.

Arte-miy333 [17]

Answer: x= 13

Step-by-step explanation:

X+8= 2x-5

+5. +5

X+13= 2x

-× -×

13=x

Hope this helps

8 0

3 years ago

Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age. Which equation can

Ainat [17]

Answer:

24

Step-by-step explanation:

let Sammy's age be x and Lisa y

since Lisa is 4years older than Sammy

y=x+4

28-4=y

y=24

3 1

3 years ago

<img src="https://tex.z-dn.net/?f=8-x%2F%28x-3%29%28x-4%29" id="TexFormula1" title="8-x/(x-3)(x-4)" alt="8-x/(x-3)(x-4)" align="

Shalnov [3]

8-/x(x-4)/x-3
That should be it if you can’t understand it the whole equation after the eight is a fraction

7 0

3 years ago

There are 8 students on the minibus. Five of the students are boys. What fraction of the students are boys?

Mariulka [41]

There are 5/8 that is the answer

5 0

3 years ago

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