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KonstantinChe [14]
2 years ago
9

Iris wants to buy sneakers at $15 each and high heels at $30 each. Write an algebraic expression to find the total cost of the s

hoes if she buys x sneakers and y high heels. Write your answer in the form “ax + by” where a and b are positive or negative constants.
Mathematics
1 answer:
kogti [31]2 years ago
5 0

Answer: 30y + 15x

If x is for sneakers, and y is for high heels, plug 15 in for a and 30 in for b. This means that x is how many sneakers she buys, and y is how many high heels she buys. The equation altogether represents the total amount of her purchases.

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inna [77]

Answer:

Domain = {All real values of x EXCEPT x = -5 and x = 7}

Step-by-step explanation:

This is a rational function given as y=\frac{6+9x}{6-|x-1|}y=

6−∣x−1∣

6+9x

The domain is the set of all real value of x for which the function is defined.

For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.

Now

6 - |x-1| = 0

|x-1| = 6

x- 1 = 6

or

-(x-1) = 6

x = 6+1 = 7

and

-x+1=6

x = 1-6 = -5

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T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
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Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

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e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







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