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3 years ago

Find the slope of the line tangent to the

1 answer:

8 0

Ln(xy) - 2x =0

slope of the tangent line = derivative of the function

[ln(xy)]' = [2x]'

[1/(xy)] [y + xy'] = 2

y + xy' = 2(xy)

xy' = 2xy - y =y(2x-1)

y' = y(2x-1)/x

Now use x = -1 to find y and after to find y'

ln(xy) = 2x
x=-1
ln(-y) =-2

-y = e^-2

y = - e^-2

y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2

Answer: option 6. from the list

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Number 13 is what I need done

Nadusha1986 [10]

Instead of using an = sign we use $\leq$ becuase its less than or equal to 100 dollars.

The equation of the line is y=10x+7

sub in 100 for y and the inequallity sign

10x+7 $\leq$ 100

solve so x is isolated

10x $\leq$ 93
x $\leq$ 9.3

technically the answer is 9 because you cant buy a fraction of a CD

5 0

2 years ago

A college bookstore marks up the price that it pays the publisher for a book by 35 %. If the selling price of a book is $ 87.00

Dimas [21]

Answer:the amount that the bookstore pay the publisher for the book is $64.4

Step-by-step explanation:

Let x represent the amount that the bookstore pay the publisher for the book.

The college bookstore marks up the price that it pays the publisher for a book by 35%. This means that the value of the mark up would be

35/100 × x = 0.35 × x = 0.35x

Therefore, the amount that the bookstore is selling the book would be

x + 0.35x = 1.35x

If the selling price of a book is $ 87.00, then it means that

1.35x = 87

x = 87/1.35 = 64.4

7 0

3 years ago

Is my answer correct or no? <br> ---> show explanation & details if i am wrong!!!

neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ $r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7$

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

If the distance is equal to the radius of the circle, then the point is on the circle
If the distance is greater than the radius, then the point is outside the circle
If the distance is less than the radius, then the point is inside the circle

∵ The distance = $\sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}$

∵ r = 7

∵ $7\sqrt{2}$ > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

<em>Your answer is not correct, the correct answer is the 3rd answer</em>

3 0

3 years ago

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartF

VladimirAG [237]

Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

$2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}$

Step 2: simplifying the coefficients of x:

$2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}$

Step 3: Adding 1/4 to both sides

$\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\$

Step 4: Multiplying both sides by 5/7

$\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10$

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

4 0

3 years ago

Read 2 more answers

Question is in the picture

Vinil7 [7]

Answer:

y=1/3x -4

Step-by-step explanation:

3y-x=-12

y= 1/3x-4

m=1/3

(gradient is the same since its parallel)

y=mX+c

(2) = 1/3(18) + c

2 = 6 + c

2 - 6 = c

c= -4

(y-intercept)

Therefore: y=1/3x-4

8 0

2 years ago