To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied?First Equation: 5x − 4y = 28

Second equation: 3x - 9y = 30

The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the second equation by −5.
The first equation should be multiplied by 9 and the second equation by 4.
The first equation should be multiplied by 9 and the second equation by −4.

Answers

Answer 1

Answer: The first equation should be multiplied by 9 and the second equation by 4

9(5x - 4y) = 9(28)
4(3x - 9y) = 4(30)

45x - 36y = 252 ⇒ 45x - 36y = 252
-(12x - 36y = 120)⇒ -12x + 36y = -120
33x + 0 = 132

33x = 132
x = 132/33
x = 4

5x - 4y = 28
5(4) - 4y = 28
20 - 4y = 28
-4y = 28 - 20
-4y = 8
y = 8/-4
y = -2

x = 4 ; y = -2

3x - 9y = 30
3(4) - 9(-2) = 30
12 + 18 = 30
30 = 30

Answer 2

Answer:

Answer:

the answer is D

Step-by-step explanation:

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An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.

Answers

Answer:

The volume of the original chamber is 102.02cubic inches. This is 242.47 cubic inches less than the volume of the new chamber.

Hope this helps! I got it right on the Plato/Edmentum mastery test ♡

You can figure out the new cone or get the volume of the original cone and use the fact that if two objects are proportional in their dimensions, then the volume is proportional to the cube of the ratio of any of their lengths. E.G., doubling a sphere diameter increases the volume by 2 cubed = 8.

Please someone help me out, please don't put the incorrect answerWhat is the distance between the points (-1, 2) and (2, 6)?

Answers

Answer:

Step-by-step explanation:

Distance Equation Solution:

$d=√((2-(-1)^2+(6-2)^2)\nd=√((3)^2+(4)^2) \nd= √(9+6)\nd= √(25)\nd=5$

The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.

From the ratio test, r = 0.4. The series converges.

From the ratio test, r = 4. The series converges.

From the ratio test, r = 4. The series diverges.

Answers

Answer: From the ratio test, r = 0.4. The series converges.

The given term is: $a_(n)=(2^(n))/(5^(\left(n+1\right)))\cdot n$

So the next term is = $a_(n+1)=(2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right)$

The ratio test is :

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|$