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Mamont248 [21]
3 years ago
14

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 <em>x-</em>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 <em>y-</em>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 <em>x-</em>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 <em>y-</em>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 <em>x: </em>

2=45x-128

We acquire:

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

Since one of our equations is <em>y</em> = 2, the <em>y-</em>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

<h3>75% of 200 is 150.</h3>
8 0
3 years ago
Which graph shows the solution to the system of inequalities?<br> y &lt;= x + 2<br> y &gt; 2x – 3
posledela

Answer:

b

Step-by-step explanation:

6

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
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