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Studentka2010 [4]
4 years ago
15

{(x-2) + 2y3 + 7- 3x = x² - 4x + 72x-1​

Mathematics
1 answer:
GrogVix [38]4 years ago
8 0

Answer:

i need help oon mines

Step-by-step explanation:

y3eah boiiii

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If the infinite curve y = e−6x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface.
Ber [7]
The area:
A = 2  \pi  \lim_{b\to \infty} ( \int\limits^\infty_0 {e ^{-6x} } \, dx)
Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)
A = -1/6 * 2 \pi   \lim_{b \to \infty}  (\int\limits^\infty_0 \, e ^{-6b} db) = \\ =- \pi /3 * ( e ^{-\infty} -e ^{0}) =  \\ = - \pi /3 * ( - 1 ) =
=  π / 3

4 0
3 years ago
Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Luba_88 [7]

Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25

L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5

F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

4 0
3 years ago
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A shopper bought the following items at the farmer’s market: 15 tomatoes for $9.30 What was the cost per tomato?
Nataly_w [17]

Answer:

The answer is 3.12

Step-by-step explanation:

7 0
3 years ago
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Solve x + 3y = 9 3x − 3y = −13
8_murik_8 [283]

Answer:

x=-1

y=10/3

Step-by-step explanation:

You can solve the system of equations by applying the elimination method as following:

- Add both equations, then:

x+3y=9\\3x-3y=-13\\-------\\4x=-4\\x=-1

- Finally, you must substitute the value of x obtained into one the original equations and then you must solve fot y:

x+3y=9\\-1+3y=9\\3y=10\\y=10/3

3 0
3 years ago
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What is the value of r in the equation 2(2r + 8) = 3r + 16?
Nonamiya [84]
<span>2(2r + 8) = 3r + 16
4r + 16 = 3r +16
4r - 3r = 16 - 16
r = 0</span>
8 0
4 years ago
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