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Sedbober [7]
2 years ago
7

Can someone help me with this problem? thank you!

Mathematics
2 answers:
Sergeu [11.5K]2 years ago
5 0

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

abruzzese [7]2 years ago
3 0

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

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If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for
grandymaker [24]
For the answer to the question, i<span>f a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the input variable to find the inverse.

The answer is Simply true. But in real life it's false.

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3 years ago
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Three functions are given below: f(x), g(x), and h(x).
Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

g(x)=5x^2-10x+7

The degree of the equation is 2.  SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function f(x)=ax^2+bx+c is a vertical line,

x=-\frac{b}{2a}

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

x=-\frac{(-10)}{2(5)}

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5 0
2 years ago
Elimination/subtraction
denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

                  3x - 10y=-70

             -<u>   4x +9y = 63</u>

                  -x + y = 7

Now, for substitution, the equation must be set to a variable.

                  -x + y = 7

                  y = x + 7

Next, plug the equation in where applicable in another equation.

                  4x +9(x + 7) = 63

                  4x + 9x + 63 = 63

                  13x = 0

                  x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

                  3(0) - 10y=-70

                  0 - 10y = -70

                  10y = 70

                  y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

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If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?
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<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

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The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,2) and (3,2), we get;

m=\frac{2-4}{3+3}

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Thus, the slope of the line is m=\frac{-1}{3}

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the values, we have;

y=-\frac{1}{3}x+3

Thus, the equation of the line is y=-\frac{1}{3}x+3

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Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

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Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation y=-\frac{1}{3}x+3, we have;

y=-\frac{1}{3}(0)+3

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Thus, for 2010 the value of y is 3.

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