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3 years ago

What is 500 x 50, 000

Mathematics

1 answer:

kogti [31]3 years ago

6 0

Answer is 25,000,000

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The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po

sladkih [1.3K]

Answer:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

$\displaystyle \frac{dy}{dx}=3x^2-3$

Point A has an x-coordinate of -1. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0$

Find the y-coordinate of Point A using the original equation:

$y(-1)=(-1)^3-3(-1)=2$

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

$y-2=0(x-(-1))$

Simplify:

$y=2$

Point B has an x-coordinate of 4. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45$

Find the y-coordinate of Point B:

$y(4)=(4)^3-3(4)=52$

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

$y-52=45(x-4)$

Simplify:

$y=45x-128$

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for x:

$2=45x-128$

We acquire:

$\displaystyle x=\frac{26}{9}$

Since one of our equations is y = 2, the y-coordinate is 2.

Hence, Point C is:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

5 0

3 years ago

Read 2 more answers

What 75% of two hundred

Ghella [55]

To find 75% of 200, we can multiply two fractions.

75/100 * 200/1

Now, just multiply the numerators and the denominators separately.

75 * 200 = 15000

100 * 1 = 100

Now, divide.

15000/100 = 150

8 0

3 years ago

Which graph shows the solution to the system of inequalities? y <= x + 2 y > 2x – 3

posledela

Answer:

Step-by-step explanation:

4 0

3 years ago

I'm stuck idkdmsjshhdhd

Klio2033 [76]

I hope this helps you

1)

a) 18/50

b) 6.1/3=2

c) 9/2.8/3=3.4=12

2)

1 1/2=1.2+1/2=3/2

3 3/4=3.4+3/4=15/4

if we can 12 muffins with 3/2 cups

how many muffins with 15/4

?.3/2=12.15/4

?=30 muffins

3 0

3 years ago

How much you pay in taxes depends on your______?

pishuonlain [190]

Answer: income

Step-by-step explanation:

3 0

3 years ago