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pychu [463]
4 years ago
6

Which values for a b will create infinitely many solutions?

Mathematics
1 answer:
Stels [109]4 years ago
3 0

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - Ay = 15 → (1)

- 4x + 6y = B → (2)

The system will have infinitely many solutions if the equations are equal

Multiply (2) by - 1

4x - 6y = - B

Equations are now equal, thus equate coefficients of relevant terms

- Ay = 6y ⇒ A = - 6

- B = 15 ⇒ B = - 15

Thus A = - 6, B = - 15 → D

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The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
11Alexandr11 [23.1K]

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

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5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

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2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

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Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

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3 years ago
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He has a total of 16 apples


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Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun
Blababa [14]

Answer:

a)\: \frac{3}{2} \pi

b) \:\frac{47}{5} \pi

Step-by-step explanation:

y=3\sqrt x,\:\:y=3,\:\:x=0

a) about the line y = 3

3\sqrt x=3  ⇒  x = 1  is the intersection point

So,

V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi

b)  about the line x = 5

y=3\sqrt x  ⇒  x=y^2/9

So,

V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi

8 0
4 years ago
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