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zalisa [80]
2 years ago
10

Which of these strategies would eliminate a variable in the system of equations?

Mathematics
1 answer:
mariarad [96]2 years ago
4 0

Answer:

<em>Multiply the bottom equation by -3/2 then add the equations. </em>

<em>Multiply the top equation by-3. then add the equations </em>

<em> </em>

Step-by-step explanation:

Given the simultaneous equation

2x- 6y=6  ... 1

6x - 4y = 2 ... 2

To eliminate a variable, we have to make the coefficient of one of the variable to be the same.

Multiply equastion 1 by -3

-6x+18y= -18  

6x - 4y = 2

Add the result:

-6x + 6x + 18y-4y = -18+2

18y-4y = -18+2

14y = -18

y = -9/7

Another way is to Multiply the bottom equation by -3/2 then add the equations.

Multiplying equation 2 by -3/2 will give;

6x(-3/2) - 4y(-3/2) = 2(-3/2)

-9x + 6y = -3

Add to equation 1;

2x- 6y=6

-9x + 2x + 0 = -3+6

-7x = 3

x = -3/7

Hence the correct two options are;

<em>Multiply the bottom equation by -3/2 then add the equations. </em>

<em>Multiply the top equation by-3. then add the equations </em>

<em> </em>

<em></em>

<em></em>

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Suppose f(x) = x^2 and
SpyIntel [72]

Given:

The two functions are:

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

5 0
2 years ago
In 1 1/2 h, a lawnmower uses 2 1/16 gal of fuel. How many gallons of fuel did the lawnmower use each hour?
alexdok [17]
The answer is 8/11, hope that helps.
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3 years ago
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1.62 as a percentage
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Show the work for answer, if the area of a pizza is 153.94 square inches, find the length of its diameter
TEA [102]

Answer:

14 inch

Step-by-step explanation:

A = πr^2

153.94 = π * r^2

153.94/π = 49.001 = r^2

√49.001 = r = 7

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7 0
3 years ago
Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes. 2 overlapping circles. The left circle label
iren2701 [21]

The label could be written in the area marked X as "Uses a convex eyepiece lens". Then the correct option is D.

<h3>What are Sets?</h3>

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.

<h3>What is the Venn diagram?</h3>

It is the representation of the sets by the diagram. And shows the condition that is generated between them by the overlapping of the circle.

Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes. The two overlapping circles.

The left circle is labeled Refracting telescopes.

The right circle is labeled Reflecting Telescopes.

An X in the overlap. Both as a label below and outside the overlap.

From the figure, we can say that the label could be written in the area marked X as "Uses a convex eyepiece lens".

Then the correct option is D.

More about the set link is given below.

brainly.com/question/8053622

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