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3 years ago

Determine which system below will produce infinitely many solutions.

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

8 0

Answer:

The answer is C

$3x-y=14\\-9x+3y=-42$

Step-by-step explanation:

In order to determine the system, we have to know the condition to produce infinitely solutions. A solution of a system is the coordinate (x,y) which is common between two lines ( in a 2D plane). A system does not have solution when the lines do not intercept each other, that it means, they are parallele. When two lines are coincident in all points, there are infinitely solutions.

I have attached an image that shows different systems of two lines.

So, to find the system, we have to find two equal equation. If we multiply by 3 the third system:

$3x-y=14\\-9x+3y=-42\\\\(-3)*(3x-y)=(-3)*14\\(1)*(-9x+3y)=(1)*-42\\\\-9x+3y=-42\\-9x+3y=-42$

This system has infinitely solutions.

Travka [436]3 years ago

6 0

3x - y = 14

-9x + 3y = -42...divide by -3
3x - y = 14...same as first equation....means same line...means infinite solutions

answer is : 3rd answer choice

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On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases from quadrant 2 into quadrant 1. It

dusya [7]

Answer:

f(x) = $2^{(3x)}$

Step-by-step explanation:

The given options are,

a) f(x) = $2^{(3x)}$

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Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,

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so, the correct answer is,

f(x) = $2^{(3x)}$

7 0

4 years ago

Read 2 more answers

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lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

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3 years ago

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Step-by-step explanation:

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3 years ago

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Answer:

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A. 0.27 and 0.50

defon

Answer:

Part 1

a. .27 < .50

b. .33 < .75

c. 4.60 > 3.89

d. .76 > .08

e. .09 < .11

f. 3.33 > 3.30

Part 2

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Step-by-step explanation:

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3 years ago