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masha68 [24]
2 years ago
9

When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? The equatio

n has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = StartFraction 4 Over 3 EndFraction.. The equation has no solution.
Mathematics
2 answers:
Mamont248 [21]2 years ago
9 0

Answer:

B. The equation has one solution: x = 0.

umka21 [38]2 years ago
7 0

Answer:

One Solution

Step-by-step explanation:

When she adds 2 to both sides, the equation  is

4x=3x

If you subtract 3x from both sides

x=0

So the equation has exactly one solution

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Answer:

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Step-by-step explanation:

5 0
3 years ago
The table below represents a function. Which of the following equations could be its function rule?
worty [1.4K]

Answer:

y=2x-2 is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

y=mx+b

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-2\right)}{1-0}

m=2

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

y=mx+b

-2 = 2(0)+b

-2=0+b

b=-2

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

y=mx+b

y=2x+(-2)

y=2x-2

Thus, y=2x-2 is the required equation.

Therefore, the second option is true.

3 0
2 years ago
In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line w
Mrrafil [7]

The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.

<h3>What is the equation of a line passing through two points?</h3>

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)

In MODE, (second line), fix the number of decimal places to be 2.

Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.

(x₁, y₁) → (1997, 1093)

(x₂, y₂) → (2002, 1553)

Then we have

y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)

y – 1093 = [460  / 5] (x – 1997)

y – 1093 = 92 (x – 1997)

           y = 92x – 182631

If x = 2010, then the value of y will be

y = 92 × 2010 – 182631

y = 184920 – 192631

y = 2289

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0
2 years ago
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