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3 years ago

Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Mathematics

2 answers:

Helga [31]3 years ago

6 0

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form y = mx + b

That locates the y-intercept, b and you can use the slope, m to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation: Isolate y on the left

First equation:

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12 Divide both sides by 6

y = -4x/6 -12/6 Simplify

y = -2x/3 - 2 The y-intercept is -2, the slope is -2/3

Second equation:

2x + 3y = 6 Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3 Simplify

y = –2x/3 +2 The y-intercept is -2, the slope is -2/3

At this point we see that the slopes are the same, so the lines are parallel.

kodGreya [7K]3 years ago

3 0

4x + 6y = -12
2x + 3y = 6

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atroni [7]

Answer:

Use multitape Turing machine to simulate doubly infinite one

Explanation:

It is obvious that Turing machine with doubly infinite tape can simulate ordinary TM. For the other direction, note that 2-tape Turing machine is essentially itself a Turing machine with doubly (double) infinite tape. When it reaches the left-hand side end of first tape, it switches to the second one, and vice versa.

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4 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
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Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

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2 years ago

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!

inna [77]

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Step-by-step explanation:

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3 years ago

Help. Calculus question.

elixir [45]

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.

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= 96π/5.

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3 years ago

Question 3 of 21

ivolga24 [154]

The equation of the red graph, g(x) is g(x) = |x| - 5

<h3>How to determine the equation of the red graph, g(x)?</h3>

The graph that completes the question is added as an attachment

The function f(x) is given s:

f(x) = |x|

From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).

This means that:

g(x) = f(x) - 5

Substitute f(x) = |x|

g(x) = |x| - 5

Hence, the equation of the red graph, g(x) is g(x) = |x| - 5

Read more about function transformation at:

brainly.com/question/3381225

#SPJ1

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2 years ago