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Elenna [48]
3 years ago
10

Duncan shares 20 percent of all of his his sales commissions with his personal assistant. If Duncan earns x dollars in commissio

ns and gives his assistant y dollars, which equation correctly models this situation?
Mathematics
2 answers:
rjkz [21]3 years ago
8 0
Answer is x
                 -----
                 20
andrezito [222]3 years ago
5 0
The correct equation that models for this problem is x over y or x/y.
Let the following values be:

x - would be the money or commissions that Duncan earned.
y - would be the 20 percent that he gives his assistant
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A company makes 120 bags.
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43 out of 120 have zips

Step-by-step explanation:

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2 years ago
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Solve the equation by completing the square root round to the nearest hundredth if necessary X^2+3x=24
marysya [2.9K]
X^2 + 3x = 24

completing the square
(x + 1.5)^2 - 2.25 = 24

(x + 1.5)^2 = 26.25

x + 1.5  = +/- sqrt26.25 =  +- 5.123

x = -1.5 + 5.123 = 3.62 to nearest hundredth  and

x =  -1.5 - 5.123  =   -6.62 to nearest hundredth

solution set is {-6.62, 3.62}
7 0
3 years ago
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You are asked to draw a triangle with side lengths of 3 inches, 4 inches, and 1 inch. How many triangles like this can you draw?
ozzi

Answer:

The answer is D) zero

Step-by-step explanation:

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Also look at this picture. It should help explain. I am sorry if I am not correct... but I am 99% sure this is true lol

7 0
2 years ago
What function do you know from calculus is such that its first derivative is itself?The above function is a solution of which of
Nataliya [291]

Answer:

a.  y= e raise to power y

c. y = e^ky

Step-by-step explanation:

The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of

x³ would be 2x³-² or 2x².

But when we take the first derivative of  y= e raise to power y

we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.

On simplification

y= e^y

Applying ln to both sides

lny= ln (e^y)

lny= 1

Now we can apply chain rule to solve ln of y

lny = 1

1/y y~= 1

y`= y

therefore

derivative of e^y = e^y

The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.

Similarly when we take the first derivative of  y= e raise to power ky

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On simplification

y= k e^ky

Applying ln to both sides

lny=k ln (e^y)

lny=ln k

Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)

lny = ln k

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y`=k y

therefore

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3 0
3 years ago
Simplify the expression. [(-1)^3/(-3)^-3]^2
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[(-1)^3/(-3)^-3]^2

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Hope it helps

6 0
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